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スレッドNo.3329

x^4+n*y^4=z^4+n*w^4(20000<n≦20100)の自明でない小さい整数解

x^4+n*y^4=z^4+n*w^4(20000<n≦20100)の自明でない小さい整数解の一覧です。

-bash-3.1$ time ./dqde4 20001 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20001, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 182396481
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
36^4+20001*197^4=2337^4+20001*62^4
5072^4+20001*769^4=8557^4+20001*582^4
49187^4+20001*3466^4=52234^4+20001*2837^4
34522^4+20001*5175^4=63005^4+20001*772^4
27208^4+20001*6149^4=49982^4+20001*5817^4
37099^4+20001*6267^4=75449^4+20001*2033^4
16604^4+20001*6439^4=76607^4+20001*956^4
249817^4+20001*9556^4=252391^4+20001*3704^4
151487^4+20001*9867^4=163523^4+20001*2777^4
9407^4+20001*13134^4=141331^4+20001*9952^4
67273^4+20001*15516^4=169166^4+20001*11589^4
19879^4+20001*23506^4=144731^4+20001*23072^4
977456^4+20001*25233^4=979574^4+20001*9611^4
156773^4+20001*27343^4=323251^4+20001*14423^4
519263^4+20001*36044^4=562207^4+20001*23928^4
449498^4+20001*37449^4=527837^4+20001*18872^4
319531^4+20001*38998^4=469096^4+20001*25353^4
404431^4+20001*39012^4=513137^4+20001*20808^4
287606^4+20001*40147^4=492433^4+20001*796^4
2274^4+20001*40229^4=471678^4+20001*19493^4
172904^4+20001*43669^4=286243^4+20001*42768^4
102196^4+20001*55167^4=656147^4+20001*4558^4
628486^4+20001*60087^4=743972^4+20001*48469^4
448679^4+20001*64292^4=785306^4+20001*17621^4
517165^4+20001*68058^4=617170^4+20001*64933^4
11897^4+20001*70586^4=485254^4+20001*68527^4
228855^4+20001*81728^4=972621^4+20001*9910^4

Found 27 solutions.
Search finished successfully.

real 50m57.630s
user 49m56.370s
sys 0m20.203s

-bash-3.1$ time ./dqde4 20002 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20002, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 103737839
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
546^4+20002*229^4=2666^4+20002*123^4
7981^4+20002*253^4=8021^4+20002*1^4
2633^4+20002*563^4=6727^4+20002*149^4
7052^4+20002*1237^4=14872^4+20002*373^4
4713^4+20002*1424^4=16831^4+20002*594^4
12923^4+20002*3053^4=34819^4+20002*1961^4
41997^4+20002*5396^4=66931^4+20002*216^4
47724^4+20002*7577^4=72288^4+20002*6841^4
56897^4+20002*9427^4=103799^4+20002*7153^4
101420^4+20002*10399^4=124780^4+20002*8351^4
84108^4+20002*11929^4=146032^4+20002*1977^4
169049^4+20002*13256^4=194599^4+20002*1892^4
163714^4+20002*14087^4=196906^4+20002*3431^4
146419^4+20002*17887^4=211973^4+20002*12499^4
332111^4+20002*38903^4=471257^4+20002*25651^4
438963^4+20002*69817^4=837907^4+20002*31401^4
307784^4+20002*79089^4=472732^4+20002*78033^4
290969^4+20002*90811^4=580487^4+20002*88981^4

Found 18 solutions.
Search finished successfully.

real 38m6.956s
user 38m0.201s
sys 0m6.705s

-bash-3.1$ time ./dqde4 20003 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20003, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 51970844
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
73^4+20003*7^4=93^4+20003*3^4
203^4+20003*59^4=701^4+20003*19^4
257^4+20003*64^4=739^4+20003*38^4
1617^4+20003*342^4=4027^4+20003*172^4
16163^4+20003*487^4=16207^4+20003*371^4
19813^4+20003*1171^4=20857^4+20003*593^4
29309^4+20003*4184^4=50537^4+20003*2038^4
8778^4+20003*5787^4=67582^4+20003*2981^4
99431^4+20003*7612^4=105579^4+20003*6714^4
4945^4+20003*16394^4=89605^4+20003*16208^4
93318^4+20003*21087^4=187388^4+20003*19339^4
954137^4+20003*23402^4=955859^4+20003*1436^4
183789^4+20003*27639^4=336289^4+20003*5923^4
250977^4+20003*28404^4=360899^4+20003*5834^4
173463^4+20003*31814^4=378819^4+20003*14156^4
200085^4+20003*32211^4=378425^4+20003*19039^4
263921^4+20003*37948^4=463951^4+20003*1376^4
164344^4+20003*41951^4=284362^4+20003*40931^4
142161^4+20003*49116^4=582227^4+20003*17566^4
514011^4+20003*63888^4=796709^4+20003*9392^4
618312^4+20003*73577^4=906066^4+20003*41339^4
506663^4+20003*98718^4=950381^4+20003*87072^4

Found 22 solutions.
Search finished successfully.

real 44m23.949s
user 44m20.175s
sys 0m3.753s

-bash-3.1$ time ./dqde4 20004 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20004, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 55056310
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
94227^4+20004*4178^4=95811^4+20004*2396^4
21153^4+20004*8687^4=101169^4+20004*4651^4
104352^4+20004*8747^4=115692^4+20004*7291^4
119999^4+20004*12755^4=130001^4+20004*12255^4
52629^4+20004*13214^4=157413^4+20004*3656^4
112885^4+20004*17527^4=203845^4+20004*11277^4
234457^4+20004*26642^4=314473^4+20004*20184^4
227148^4+20004*37067^4=352968^4+20004*33403^4
135485^4+20004*38645^4=375533^4+20004*33457^4
354949^4+20004*46229^4=365195^4+20004*45985^4
705892^4+20004*56483^4=819248^4+20004*16339^4
408693^4+20004*65047^4=758763^4+20004*40639^4

Found 12 solutions.
Search finished successfully.

real 48m2.758s
user 47m58.243s
sys 0m4.494s

-bash-3.1$ time ./dqde4 20005 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20005, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 105453829
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
19789^4+20005*2904^4=33873^4+20005*1898^4
16747^4+20005*3705^4=43801^4+20005*1701^4
3017^4+20005*4756^4=55619^4+20005*2402^4
25044^4+20005*8647^4=52942^4+20005*8499^4
37943^4+20005*11028^4=129801^4+20005*5152^4
52793^4+20005*27329^4=196829^4+20005*26365^4
864137^4+20005*29016^4=865213^4+20005*27474^4
172589^4+20005*37130^4=438841^4+20005*17372^4
149832^4+20005*37345^4=389892^4+20005*30047^4
12853^4+20005*38979^4=352047^4+20005*35231^4
304041^4+20005*46567^4=536677^4+20005*31485^4
199388^4+20005*52159^4=595138^4+20005*33163^4
483506^4+20005*57271^4=716926^4+20005*23095^4
394482^4+20005*86897^4=445728^4+20005*86605^4
72451^4+20005*92579^4=362921^4+20005*92305^4
451653^4+20005*148838^4=889659^4+20005*146570^4

Found 16 solutions.
Search finished successfully.

real 42m26.755s
user 42m17.628s
sys 0m9.046s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20006 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20006, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 82012419
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
89^4+20006*68^4=551^4+20006*64^4
709^4+20006*92^4=877^4+20006*86^4
6943^4+20006*512^4=7657^4+20006*338^4
5739^4+20006*684^4=8597^4+20006*92^4
7277^4+20006*956^4=11819^4+20006*98^4
12991^4+20006*1549^4=19153^4+20006*821^4
6449^4+20006*2278^4=27113^4+20006*244^4
10347^4+20006*5758^4=66093^4+20006*3476^4
63022^4+20006*7063^4=87662^4+20006*4247^4
198239^4+20006*10039^4=204457^4+20006*1579^4
228707^4+20006*13600^4=240005^4+20006*8458^4
84011^4+20006*17113^4=187429^4+20006*12767^4
150061^4+20006*21499^4=230053^4+20006*17737^4
178508^4+20006*24259^4=298544^4+20006*1763^4
35729^4+20006*26527^4=241879^4+20006*23861^4
343449^4+20006*31426^4=427503^4+20006*5992^4
86048^4+20006*35747^4=425316^4+20006*387^4
355655^4+20006*36797^4=453025^4+20006*26953^4
17337^4+20006*39339^4=417457^4+20006*30601^4
121257^4+20006*42648^4=304727^4+20006*41224^4
96726^4+20006*49053^4=583478^4+20006*5149^4
230663^4+20006*49606^4=564857^4+20006*32446^4
737988^4+20006*55561^4=830628^4+20006*27383^4
451547^4+20006*58957^4=700747^4+20006*38101^4
338902^4+20006*61481^4=739302^4+20006*11031^4
130093^4+20006*83822^4=992339^4+20006*30886^4

Found 26 solutions.
Search finished successfully.

real 49m15.487s
user 49m8.407s
sys 0m6.854s

-bash-3.1$ time ./dqde4 20007 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20007, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / C...
Total nodes collected after filter: 3550130
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
732^4+20007*199^4=2346^4+20007*91^4
3519^4+20007*371^4=4803^4+20007*57^4
2037^4+20007*419^4=5001^4+20007*143^4
4422^4+20007*457^4=5952^4+20007*19^4
1902^4+20007*649^4=7716^4+20007*173^4
1164^4+20007*789^4=8298^4+20007*623^4
37863^4+20007*1144^4=37977^4+20007*828^4
8433^4+20007*1202^4=14709^4+20007*156^4
6069^4+20007*1214^4=12171^4+20007*1034^4
41817^4+20007*1424^4=42087^4+20007*596^4
9189^4+20007*1771^4=12153^4+20007*1737^4
9141^4+20007*1802^4=15753^4+20007*1672^4
15891^4+20007*3554^4=25377^4+20007*3452^4
33138^4+20007*3659^4=46704^4+20007*1143^4
21678^4+20007*5307^4=63252^4+20007*1433^4
17901^4+20007*5723^4=66573^4+20007*3131^4
20211^4+20007*6509^4=77097^4+20007*2473^4
56783^4+20007*7546^4=92747^4+20007*2824^4
5349^4+20007*8149^4=42987^4+20007*8069^4

Found 19 solutions.
Search finished successfully.

real 0m14.609s
user 0m14.296s
sys 0m0.311s

-bash-3.1$ time ./dqde4 20008 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20008, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / C...
Total nodes collected after filter: 3251195
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
216^4+20008*67^4=796^4+20008*21^4
502^4+20008*83^4=746^4+20008*77^4
186^4+20008*109^4=1278^4+20008*53^4
1503^4+20008*217^4=1889^4+20008*207^4
138^4+20008*601^4=4826^4+20008*567^4
8134^4+20008*601^4=8954^4+20008*409^4
4053^4+20008*976^4=9909^4+20008*814^4
2573^4+20008*1047^4=12333^4+20008*467^4
18594^4+20008*1903^4=24826^4+20008*567^4
1063^4+20008*2344^4=25639^4+20008*1712^4
13666^4+20008*2607^4=30722^4+20008*1359^4
25527^4+20008*2816^4=33353^4+20008*2172^4
20177^4+20008*2909^4=35183^4+20008*1349^4
39209^4+20008*3371^4=46999^4+20008*1357^4
25204^4+20008*3513^4=34088^4+20008*3201^4
28887^4+20008*3589^4=41289^4+20008*2729^4
51426^4+20008*4399^4=61638^4+20008*1271^4
73514^4+20008*4759^4=79262^4+20008*31^4
31651^4+20008*5268^4=41411^4+20008*5094^4
20173^4+20008*5518^4=65773^4+20008*68^4
27386^4+20008*6671^4=79394^4+20008*2183^4
72452^4+20008*7149^4=73672^4+20008*7083^4
18182^4+20008*9109^4=94594^4+20008*7331^4
50259^4+20008*29287^4=71731^4+20008*29277^4

Found 24 solutions.
Search finished successfully.

real 0m16.006s
user 0m15.692s
sys 0m0.312s

-bash-3.1$ time ./dqde4 20009 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20009, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 138993605
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
887^4+20009*119^4=1467^4+20009*3^4
1541^4+20009*667^4=6249^4+20009*591^4
33351^4+20009*853^4=33417^4+20009*443^4
4099^4+20009*1006^4=11161^4+20009*716^4
33010^4+20009*2305^4=36112^4+20009*1267^4
40889^4+20009*4543^4=56725^4+20009*2635^4
7673^4+20009*6932^4=81351^4+20009*3312^4
57647^4+20009*8054^4=98787^4+20009*288^4
202322^4+20009*18377^4=237876^4+20009*13941^4
108017^4+20009*25006^4=298691^4+20009*1516^4
20360^4+20009*26317^4=311400^4+20009*9933^4
172339^4+20009*26749^4=207649^4+20009*26087^4
425767^4+20009*34441^4=461933^4+20009*29659^4
282323^4+20009*36097^4=360319^4+20009*32909^4
321437^4+20009*48094^4=376007^4+20009*47012^4
429383^4+20009*48278^4=608731^4+20009*22772^4
687337^4+20009*48873^4=734479^4+20009*39009^4
564505^4+20009*53774^4=718425^4+20009*18726^4
111011^4+20009*55663^4=577103^4+20009*44899^4
518953^4+20009*61199^4=768257^4+20009*22183^4
50861^4+20009*72563^4=862991^4+20009*8071^4
338271^4+20009*81699^4=771319^4+20009*72427^4

Found 22 solutions.
Search finished successfully.

real 47m48.191s
user 47m34.089s
sys 0m14.100s

-bash-3.1$ time ./dqde4 20010 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20010, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 336045175
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
379^4+20010*40^4=517^4+20010*12^4
4450^4+20010*781^4=8890^4+20010*531^4
14951^4+20010*1243^4=16193^4+20010*1097^4
5903^4+20010*1311^4=15671^4+20010*163^4
20031^4+20010*1636^4=23481^4+20010*362^4
3623^4+20010*1854^4=21977^4+20010*638^4
5003^4+20010*2753^4=11971^4+20010*2741^4
1843^4+20010*3477^4=9059^4+20010*3475^4
3375^4+20010*3487^4=40785^4+20010*1759^4
2078^4+20010*4253^4=45946^4+20010*3197^4
2762^4+20010*4441^4=51062^4+20010*2649^4
78881^4+20010*6180^4=87713^4+20010*4568^4
53540^4+20010*6369^4=77560^4+20010*3967^4
37090^4+20010*9097^4=107810^4+20010*3721^4
32873^4+20010*9400^4=111521^4+20010*3414^4
159719^4+20010*11331^4=176831^4+20010*3457^4
134897^4+20010*12183^4=166679^4+20010*1589^4
82873^4+20010*13565^4=163511^4+20010*4715^4
98785^4+20010*14148^4=161575^4+20010*10186^4
21649^4+20010*14684^4=135407^4+20010*13128^4
656953^4+20010*22416^4=661361^4+20010*3310^4
198782^4+20010*23197^4=284126^4+20010*14307^4
162503^4+20010*23664^4=288911^4+20010*3970^4
161669^4+20010*27055^4=302659^4+20010*19699^4
62333^4+20010*28840^4=205163^4+20010*27878^4
191449^4+20010*28907^4=346193^4+20010*14767^4
195337^4+20010*32058^4=331409^4+20010*26932^4
378502^4+20010*33353^4=453914^4+20010*19401^4
117061^4+20010*35691^4=385949^4+20010*26895^4
405031^4+20010*37949^4=506183^4+20010*19277^4
117408^4+20010*39139^4=299844^4+20010*37379^4
43387^4+20010*40062^4=390163^4+20010*34508^4
65389^4+20010*41264^4=487301^4+20010*16930^4
498183^4+20010*47069^4=506319^4+20010*46567^4
479935^4+20010*48039^4=623225^4+20010*25723^4
502511^4+20010*49353^4=653023^4+20010*13313^4
483884^4+20010*55779^4=700984^4+20010*24381^4
147957^4+20010*57710^4=265077^4+20010*57418^4
68267^4+20010*63161^4=716821^4+20010*40615^4
225595^4+20010*63916^4=760645^4+20010*17288^4
792746^4+20010*66091^4=938786^4+20010*3765^4
665356^4+20010*71565^4=920816^4+20010*17581^4
419821^4+20010*73165^4=878717^4+20010*25349^4
435333^4+20010*75367^4=837717^4+20010*55441^4
521947^4+20010*80163^4=676829^4+20010*76649^4
37215^4+20010*81242^4=576105^4+20010*78544^4
88677^4+20010*83152^4=988989^4+20010*1882^4
24775^4+20010*95638^4=515135^4+20010*94616^4

Found 48 solutions.
Search finished successfully.

real 165m40.157s
user 59m13.941s
sys 1m47.371s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20011 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20011, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 13424030
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
119468^4+20011*4819^4=120664^4+20011*3347^4
48159^4+20011*9898^4=88181^4+20011*9096^4

Found 2 solutions.
Search finished successfully.

real 32m56.860s
user 32m55.777s
sys 0m1.081s

-bash-3.1$ time ./dqde4 20012 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20012, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 22173841
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
685243^4+20012*110194^4=765627^4+20012*109026^4

Found 1 solutions.
Search finished successfully.

real 41m11.528s
user 41m9.917s
sys 0m1.611s

-bash-3.1$ time ./dqde4 20013 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20013, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 104587169
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
10697^4+20013*724^4=11677^4+20013*46^4
9253^4+20013*1568^4=17431^4+20013*1158^4
7618^4+20013*4101^4=43832^4+20013*3151^4
48731^4+20013*11812^4=131863^4+20013*8254^4
223939^4+20013*13452^4=237281^4+20013*1922^4
16929^4+20013*18289^4=217059^4+20013*5579^4
4166^4+20013*25043^4=148492^4+20013*24647^4
93121^4+20013*27689^4=327467^4+20013*11413^4
39951^4+20013*39281^4=463083^4+20013*16979^4
345753^4+20013*72755^4=513921^4+20013*70885^4

Found 10 solutions.
Search finished successfully.

real 56m57.804s
user 56m47.466s
sys 0m10.337s

-bash-3.1$ time ./dqde4 20014 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20014, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / C...
Total nodes collected after filter: 21721034
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
19932^4+20014*769^4=20096^4+20014*543^4
55757^4+20014*22342^4=155827^4+20014*21662^4
298123^4+20014*42922^4=522451^4+20014*16036^4
56829^4+20014*127877^4=957459^4+20014*122531^4

Found 4 solutions.
Search finished successfully.

real 51m15.748s
user 51m13.526s
sys 0m2.132s

-bash-3.1$ time ./dqde4 20015 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20015, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 81960716
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
134542^4+20015*6671^4=137662^4+20015*4495^4
274633^4+20015*18215^4=297796^4+20015*6082^4
74257^4+20015*20319^4=174332^4+20015*18834^4
115664^4+20015*33632^4=400723^4+20015*2543^4
980969^4+20015*42556^4=996981^4+20015*20718^4
305077^4+20015*52089^4=579586^4+20015*38322^4
707535^4+20015*61401^4=787595^4+20015*52349^4
353848^4+20015*62366^4=742139^4+20015*29483^4
738463^4+20015*70955^4=946619^4+20015*17161^4
406363^4+20015*77878^4=934759^4+20015*5524^4

Found 10 solutions.
Search finished successfully.

real 48m25.337s
user 48m16.853s
sys 0m8.295s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20016 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20016, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 248193985
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
714^4+20016*73^4=954^4+20016*1^4
3004^4+20016*163^4=3112^4+20016*97^4
1809^4+20016*226^4=2643^4+20016*163^4
5563^4+20016*531^4=6391^4+20016*458^4
4740^4+20016*551^4=6936^4+20016*205^4
5231^4+20016*578^4=7279^4+20016*306^4
16079^4+20016*749^4=16357^4+20016*528^4
537^4+20016*904^4=8043^4+20016*823^4
3028^4+20016*931^4=10256^4+20016*671^4
1588^4+20016*1129^4=13424^4+20016*227^4
336^4+20016*1795^4=21348^4+20016*265^4
6735^4+20016*2102^4=21747^4+20016*1705^4
4053^4+20016*2290^4=22635^4+20016*1948^4
26004^4+20016*2519^4=32376^4+20016*1693^4
200139^4+20016*2998^4=200181^4+20016*1916^4
28748^4+20016*3255^4=33752^4+20016*3005^4
19804^4+20016*5539^4=43024^4+20016*5281^4
120462^4+20016*7495^4=128070^4+20016*3917^4
29756^4+20016*8617^4=74216^4+20016*7971^4
61011^4+20016*10418^4=123303^4+20016*5513^4
77352^4+20016*11891^4=144492^4+20016*1447^4
77032^4+20016*12621^4=92548^4+20016*12377^4
286863^4+20016*22534^4=327729^4+20016*11864^4
465995^4+20016*24688^4=472255^4+20016*22187^4
42543^4+20016*24797^4=291909^4+20016*11158^4
28323^4+20016*25897^4=200193^4+20016*24656^4
199266^4+20016*30581^4=297798^4+20016*27361^4
256856^4+20016*31447^4=390884^4+20016*13061^4
65076^4+20016*32755^4=388668^4+20016*10445^4
139903^4+20016*33978^4=405533^4+20016*5311^4
439529^4+20016*34286^4=504859^4+20016*5241^4
13235^4+20016*37453^4=241969^4+20016*36610^4
489796^4+20016*38161^4=562156^4+20016*9007^4
317190^4+20016*38377^4=446754^4+20016*28765^4
620935^4+20016*39827^4=665971^4+20016*18430^4
419910^4+20016*40663^4=464130^4+20016*37459^4
919536^4+20016*49087^4=923604^4+20016*47683^4
373053^4+20016*55478^4=676119^4+20016*3611^4
135706^4+20016*55551^4=602662^4+20016*41441^4
455645^4+20016*55708^4=695837^4+20016*16370^4
48937^4+20016*58353^4=644413^4+20016*41546^4
243589^4+20016*62404^4=728977^4+20016*33321^4
103806^4+20016*63629^4=440742^4+20016*61721^4
83852^4+20016*66741^4=793864^4+20016*5337^4
72726^4+20016*68231^4=811314^4+20016*13021^4
711014^4+20016*73503^4=911174^4+20016*52367^4
557795^4+20016*82531^4=958115^4+20016*54969^4
454427^4+20016*85107^4=461861^4+20016*85049^4
390367^4+20016*86182^4=402877^4+20016*86121^4

Found 49 solutions.
Search finished successfully.

real 108m53.301s
user 61m46.912s
sys 1m2.017s

-bash-3.1$ time ./dqde4 20017 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20017, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 1444212
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
269^4+20017*176^4=2086^4+20017*61^4
1874^4+20017*259^4=3178^4+20017*67^4
2221^4+20017*476^4=5692^4+20017*103^4
4152^4+20017*721^4=6668^4+20017*657^4
8039^4+20017*822^4=9573^4+20017*704^4
4187^4+20017*970^4=11062^4+20017*625^4
1384^4+20017*1217^4=4567^4+20017*1214^4
3629^4+20017*1360^4=16129^4+20017*470^4
1078^4+20017*1579^4=18727^4+20017*518^4
9301^4+20017*1734^4=10383^4+20017*1724^4
3637^4+20017*1816^4=5801^4+20017*1814^4
7740^4+20017*1897^4=22205^4+20017*996^4
7463^4+20017*2277^4=21819^4+20017*1991^4
48136^4+20017*3093^4=51801^4+20017*392^4
84982^4+20017*4469^4=87056^4+20017*3409^4
45039^4+20017*6121^4=74619^4+20017*2789^4
34916^4+20017*6207^4=74409^4+20017*2282^4
53408^4+20017*7291^4=89002^4+20017*3143^4
32309^4+20017*8542^4=74936^4+20017*7853^4

Found 19 solutions.
Search finished successfully.

real 0m16.323s
user 0m16.097s
sys 0m0.221s

-bash-3.1$ time ./dqde4 20018 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20018, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 18482079
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
133577^4+20018*11323^4=152033^4+20018*8671^4
129271^4+20018*16993^4=198353^4+20018*11893^4
737691^4+20018*18471^4=738253^4+20018*16339^4

Found 3 solutions.
Search finished successfully.

real 37m10.538s
user 37m9.187s
sys 0m1.351s

-bash-3.1$ time ./dqde4 20019 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20019, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 64312649
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
389^4+20019*27^4=427^4+20019*11^4
197^4+20019*48^4=367^4+20019*46^4
247^4+20019*117^4=1369^4+20019*59^4
889^4+20019*549^4=4441^4+20019*517^4
4009^4+20019*779^4=9337^4+20019*197^4
10578^4+20019*2981^4=34152^4+20019*1847^4
84021^4+20019*3227^4=84921^4+20019*473^4
48904^4+20019*3431^4=52652^4+20019*2521^4
18006^4+20019*3589^4=39012^4+20019*2729^4
42467^4+20019*5339^4=64301^4+20019*3317^4
22402^4+20019*8447^4=97712^4+20019*4843^4
8306^4+20019*24619^4=258614^4+20019*19477^4
34399^4+20019*27308^4=274627^4+20019*22838^4
454342^4+20019*36353^4=519916^4+20019*21781^4
121829^4+20019*42837^4=504991^4+20019*18977^4
646097^4+20019*46153^4=716683^4+20019*15869^4
691095^4+20019*53425^4=790311^4+20019*15263^4
416714^4+20019*102279^4=688832^4+20019*99923^4

Found 18 solutions.
Search finished successfully.

real 49m33.212s
user 49m28.309s
sys 0m4.903s

-bash-3.1$ time ./dqde4 20020 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20020, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 4089125
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2474^4+20020*353^4=3818^4+20020*287^4
1994^4+20020*455^4=5426^4+20020*137^4
30332^4+20020*509^4=30344^4+20020*115^4
11764^4+20020*573^4=11952^4+20020*461^4
8049^4+20020*683^4=9617^4+20020*45^4
5967^4+20020*701^4=7969^4+20020*567^4
2451^4+20020*1214^4=13693^4+20020*804^4
7039^4+20020*1855^4=13969^4+20020*1781^4
58057^4+20020*2070^4=58521^4+20020*76^4
22822^4+20020*3285^4=36066^4+20020*2597^4
44533^4+20020*3348^4=50331^4+20020*1118^4
1487^4+20020*4353^4=51537^4+20020*1607^4
22816^4+20020*5675^4=36236^4+20020*5573^4
26714^4+20020*6327^4=62386^4+20020*5433^4
47681^4+20020*6975^4=82449^4+20020*4219^4
48236^4+20020*7751^4=93136^4+20020*3319^4
15418^4+20020*9003^4=91494^4+20020*7445^4
33741^4+20020*10334^4=86563^4+20020*9648^4

Found 18 solutions.
Search finished successfully.

real 0m23.373s
user 0m22.875s
sys 0m0.481s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20021 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20021, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 43917017
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
48591^4+20021*617^4=48597^4+20021*293^4
1427^4+20021*1042^4=9709^4+20021*926^4
711122^4+20021*19463^4=712898^4+20021*11143^4
484467^4+20021*36396^4=505873^4+20021*33338^4
92881^4+20021*41087^4=488897^4+20021*943^4
47869^4+20021*55661^4=589383^4+20021*43473^4
99821^4+20021*121831^4=140431^4+20021*121829^4

Found 7 solutions.
Search finished successfully.

real 50m42.115s
user 50m38.727s
sys 0m3.282s

-bash-3.1$ time ./dqde4 20022 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20022, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 55108354
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
15661^4+20022*2458^4=20549^4+20022*2352^4
118502^4+20022*7251^4=126022^4+20022*2003^4
2379^4+20022*18715^4=222621^4+20022*895^4
64034^4+20022*24187^4=269666^4+20022*16763^4
135067^4+20022*24272^4=292069^4+20022*3996^4
124259^4+20022*25780^4=307013^4+20022*9970^4
318926^4+20022*61507^4=455258^4+20022*59677^4
352299^4+20022*63991^4=769779^4+20022*3133^4

Found 8 solutions.
Search finished successfully.

real 53m9.616s
user 53m4.998s
sys 0m4.483s

-bash-3.1$ time ./dqde4 20023 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20023, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 14610792
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
101669^4+20023*10937^4=138607^4+20023*5899^4
30659^4+20023*18237^4=110751^4+20023*17921^4
161684^4+20023*23813^4=278822^4+20023*15233^4
252373^4+20023*95214^4=772971^4+20023*89638^4

Found 4 solutions.
Search finished successfully.

real 29m49.559s
user 29m47.955s
sys 0m1.171s

-bash-3.1$ time ./dqde4 20024 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20024, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 34291675
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
10008^4+20024*201^4=10016^4+20024*73^4
30686^4+20024*5351^4=60722^4+20024*3689^4
147387^4+20024*12189^4=172997^4+20024*5491^4
2857^4+20024*13906^4=152329^4+20024*10124^4
55504^4+20024*16541^4=104688^4+20024*16227^4
722454^4+20024*30771^4=729286^4+20024*24739^4
643480^4+20024*55225^4=763624^4+20024*30649^4
678108^4+20024*57729^4=803668^4+20024*30209^4
404863^4+20024*84479^4=760289^4+20024*77237^4
466542^4+20024*95217^4=905102^4+20024*84527^4

Found 10 solutions.
Search finished successfully.

real 47m26.989s
user 47m23.855s
sys 0m2.922s

-bash-3.1$ time ./dqde4 20025 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20025, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 3323853
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
35^4+20025*13^4=145^4+20025*9^4
109^4+20025*24^4=287^4+20025*2^4
117^4+20025*35^4=417^4+20025*1^4
145^4+20025*148^4=1745^4+20025*64^4
3860^4+20025*191^4=3970^4+20025*59^4
2587^4+20025*222^4=3109^4+20025*10^4
129^4+20025*235^4=1197^4+20025*233^4
6913^4+20025*407^4=7291^4+20025*139^4
4300^4+20025*603^4=7360^4+20025*229^4
21545^4+20025*837^4=21745^4+20025*541^4
7199^4+20025*842^4=8801^4+20025*762^4
7669^4+20025*1124^4=12169^4+20025*906^4
12285^4+20025*1439^4=16185^4+20025*1189^4
21225^4+20025*1498^4=23445^4+20025*536^4
5979^4+20025*1975^4=22329^4+20025*1301^4
13329^4+20025*2293^4=26079^4+20025*1573^4
40401^4+20025*2330^4=41199^4+20025*2078^4
20844^4+20025*2615^4=22944^4+20025*2551^4
34485^4+20025*2638^4=36405^4+20025*2366^4
57771^4+20025*5557^4=74121^4+20025*1265^4
48183^4+20025*6005^4=69831^4+20025*4421^4
12470^4+20025*10537^4=60530^4+20025*10391^4

Found 22 solutions.
Search finished successfully.

real 0m18.336s
user 0m17.993s
sys 0m0.341s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20026 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20026, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 140041598
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
148^4+20026*19^4=224^4+20026*13^4
4817^4+20026*185^4=4855^4+20026*133^4
23291^4+20026*2779^4=33253^4+20026*1909^4
55313^4+20026*4572^4=58953^4+20026*4166^4
12261^4+20026*6197^4=73733^4+20026*357^4
66322^4+20026*6451^4=85702^4+20026*1427^4
59511^4+20026*7382^4=69201^4+20026*7036^4
190957^4+20026*9081^4=195669^4+20026*707^4
218654^4+20026*9137^4=221918^4+20026*689^4
31063^4+20026*10076^4=118049^4+20026*5062^4
76403^4+20026*11713^4=119989^4+20026*10043^4
33259^4+20026*11768^4=73939^4+20026*11542^4
82694^4+20026*11939^4=99338^4+20026*11549^4
96766^4+20026*13889^4=136478^4+20026*12481^4
21961^4+20026*18404^4=61367^4+20026*18376^4
172207^4+20026*19446^4=223791^4+20026*15758^4
531133^4+20026*23351^4=540619^4+20026*8699^4
54391^4+20026*27042^4=308433^4+20026*16988^4
390625^4+20026*40876^4=444007^4+20026*37670^4
133717^4+20026*47533^4=565891^4+20026*703^4
5949^4+20026*57584^4=442987^4+20026*54882^4
422319^4+20026*62557^4=762761^4+20026*3303^4
726923^4+20026*68357^4=841189^4+20026*57293^4
113189^4+20026*74478^4=330917^4+20026*74118^4
330279^4+20026*78482^4=937249^4+20026*4272^4

Found 25 solutions.
Search finished successfully.

real 54m30.598s
user 54m17.148s
sys 0m13.439s

-bash-3.1$ time ./dqde4 20026 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20026, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 140041598
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
148^4+20026*19^4=224^4+20026*13^4
4817^4+20026*185^4=4855^4+20026*133^4
23291^4+20026*2779^4=33253^4+20026*1909^4
55313^4+20026*4572^4=58953^4+20026*4166^4
12261^4+20026*6197^4=73733^4+20026*357^4
66322^4+20026*6451^4=85702^4+20026*1427^4
59511^4+20026*7382^4=69201^4+20026*7036^4
190957^4+20026*9081^4=195669^4+20026*707^4
218654^4+20026*9137^4=221918^4+20026*689^4
31063^4+20026*10076^4=118049^4+20026*5062^4
76403^4+20026*11713^4=119989^4+20026*10043^4
33259^4+20026*11768^4=73939^4+20026*11542^4
82694^4+20026*11939^4=99338^4+20026*11549^4
96766^4+20026*13889^4=136478^4+20026*12481^4
21961^4+20026*18404^4=61367^4+20026*18376^4
172207^4+20026*19446^4=223791^4+20026*15758^4
531133^4+20026*23351^4=540619^4+20026*8699^4
54391^4+20026*27042^4=308433^4+20026*16988^4
390625^4+20026*40876^4=444007^4+20026*37670^4
133717^4+20026*47533^4=565891^4+20026*703^4
5949^4+20026*57584^4=442987^4+20026*54882^4
422319^4+20026*62557^4=762761^4+20026*3303^4
726923^4+20026*68357^4=841189^4+20026*57293^4
113189^4+20026*74478^4=330917^4+20026*74118^4
330279^4+20026*78482^4=937249^4+20026*4272^4

Found 25 solutions.
Search finished successfully.

real 43m33.276s
user 43m21.830s
sys 0m11.187s

-bash-3.1$ time ./dqde4 20027 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20027, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 62541772
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2223^4+20027*199^4=2733^4+20027*37^4
7283^4+20027*524^4=8089^4+20027*214^4
6873^4+20027*2061^4=24527^4+20027*539^4
58393^4+20027*5716^4=75559^4+20027*2128^4
59899^4+20027*6374^4=81641^4+20027*2944^4
164637^4+20027*23663^4=284799^4+20027*12139^4
346213^4+20027*25666^4=386267^4+20027*14122^4
126114^4+20027*34371^4=406492^4+20027*14561^4
635672^4+20027*54061^4=696166^4+20027*47207^4
277835^4+20027*75139^4=609075^4+20027*70923^4

Found 10 solutions.
Search finished successfully.

real 45m14.587s
user 45m10.636s
sys 0m3.933s

-bash-3.1$ time ./dqde4 20028 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20028, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 46804571
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
14789^4+20028*2554^4=27403^4+20028*2024^4
40681^4+20028*6998^4=77801^4+20028*5154^4
146071^4+20028*9651^4=157687^4+20028*4811^4
41237^4+20028*13502^4=55621^4+20028*13468^4
87927^4+20028*17194^4=162423^4+20028*15358^4
399534^4+20028*27041^4=436014^4+20028*7007^4
100510^4+20028*27829^4=331750^4+20028*3003^4
275582^4+20028*31231^4=393938^4+20028*13857^4
22907^4+20028*66114^4=763573^4+20028*38216^4
736592^4+20028*69999^4=938332^4+20028*3361^4
379922^4+20028*96907^4=941926^4+20028*84059^4
41826^4+20028*125539^4=341622^4+20028*125453^4

Found 12 solutions.
Search finished successfully.

real 44m46.265s
user 44m42.559s
sys 0m3.703s

-bash-3.1$ time ./dqde4 20029 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20029, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 43899452
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
53^4+20029*17^4=193^4+20029*11^4
5704^4+20029*1691^4=9434^4+20029*1673^4
408161^4+20029*13569^4=409291^4+20029*11661^4
362902^4+20029*37131^4=484878^4+20029*9163^4
569411^4+20029*49922^4=609469^4+20029*46238^4
28085^4+20029*58150^4=690293^4+20029*17678^4

Found 6 solutions.
Search finished successfully.

real 44m56.069s
user 44m52.567s
sys 0m3.503s

-bash-3.1$ time ./dqde4 20030 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20030, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 52408025
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1801^4+20030*487^4=5807^4+20030*43^4
2647^4+20030*1736^4=18671^4+20030*1318^4
92641^4+20030*11540^4=143713^4+20030*3280^4
98423^4+20030*14533^4=161967^4+20030*11055^4
86559^4+20030*28978^4=338937^4+20030*14884^4
277376^4+20030*55673^4=571896^4+20030*46215^4
72208^4+20030*63367^4=712968^4+20030*42375^4

Found 7 solutions.
Search finished successfully.

real 51m11.738s
user 51m6.964s
sys 0m4.773s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20031 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20031, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 140641391
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
817^4+20031*83^4=1004^4+20031*66^4
30604^4+20031*878^4=30703^4+20031*397^4
16479^4+20031*2494^4=23583^4+20031*2278^4
73996^4+20031*3200^4=74603^4+20031*2725^4
1511^4+20031*3501^4=31874^4+20031*3152^4
170178^4+20031*3718^4=170349^4+20031*2179^4
1791^4+20031*3979^4=43734^4+20031*2872^4
73859^4+20031*4979^4=80536^4+20031*332^4
6836^4+20031*5316^4=62969^4+20031*1929^4
166502^4+20031*17074^4=222953^4+20031*441^4
483937^4+20031*24629^4=499403^4+20031*5287^4
269200^4+20031*26419^4=349940^4+20031*5133^4
79483^4+20031*26569^4=281614^4+20031*20776^4
520708^4+20031*27832^4=540739^4+20031*6579^4
167785^4+20031*42607^4=459853^4+20031*32405^4
572323^4+20031*43497^4=649568^4+20031*14806^4
853126^4+20031*53636^4=913219^4+20031*3169^4
256957^4+20031*85751^4=757732^4+20031*78426^4
64607^4+20031*105054^4=663109^4+20031*102908^4

Found 19 solutions.
Search finished successfully.

real 45m12.987s
user 44m59.338s
sys 0m13.649s

-bash-3.1$ time ./dqde4 20032 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20032, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 197261133
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2063^4+20032*243^4=2319^4+20032*233^4
1046^4+20032*297^4=2646^4+20032*271^4
22824^4+20032*521^4=22848^4+20032*359^4
5948^4+20032*725^4=9052^4+20032*245^4
7747^4+20032*733^4=9149^4+20032*587^4
25001^4+20032*1337^4=25943^4+20032*541^4
5102^4+20032*2201^4=24946^4+20032*1429^4
841^4+20032*4086^4=48569^4+20032*987^4
22406^4+20032*4271^4=49574^4+20032*2573^4
200021^4+20032*4527^4=200283^4+20032*844^4
54257^4+20032*5745^4=68351^4+20032*4560^4
51188^4+20032*6181^4=77468^4+20032*1451^4
11024^4+20032*6357^4=60256^4+20032*5589^4
120532^4+20032*6543^4=123684^4+20032*5119^4
37621^4+20032*6555^4=78603^4+20032*2525^4
81268^4+20032*7757^4=103804^4+20032*1187^4
63737^4+20032*10592^4=101783^4+20032*9473^4
41011^4+20032*10716^4=86067^4+20032*10144^4
4094^4+20032*10945^4=128642^4+20032*5105^4
70479^4+20032*11161^4=133553^4+20032*5427^4
51652^4+20032*11439^4=136788^4+20032*671^4
69912^4+20032*12607^4=145032^4+20032*8129^4
62387^4+20032*12616^4=92339^4+20032*12242^4
45952^4+20032*12881^4=132176^4+20032*10577^4
500446^4+20032*13721^4=501698^4+20032*7949^4
7718^4+20032*14709^4=147942^4+20032*12301^4
161741^4+20032*15744^4=208893^4+20032*4843^4
42244^4+20032*17623^4=189716^4+20032*13369^4
117851^4+20032*19827^4=239451^4+20032*2689^4
102833^4+20032*20492^4=228959^4+20032*14543^4
196646^4+20032*20991^4=270886^4+20032*321^4
249426^4+20032*21649^4=301042^4+20032*7323^4
151926^4+20032*22333^4=272502^4+20032*3101^4
165198^4+20032*25703^4=232018^4+20032*23949^4
127186^4+20032*31767^4=373614^4+20032*15569^4
209921^4+20032*32224^4=332047^4+20032*27457^4
83554^4+20032*32411^4=374018^4+20032*18953^4
261824^4+20032*33653^4=414256^4+20032*14731^4
128718^4+20032*35183^4=342738^4+20032*30427^4
293052^4+20032*36721^4=433596^4+20032*25487^4
125664^4+20032*36979^4=395168^4+20032*28557^4
765448^4+20032*37617^4=786888^4+20032*3313^4
189824^4+20032*37841^4=453704^4+20032*319^4
469340^4+20032*38773^4=523580^4+20032*31061^4
500776^4+20032*40279^4=582832^4+20032*10297^4
703269^4+20032*44492^4=753189^4+20032*15934^4
604187^4+20032*47601^4=669723^4+20032*36337^4
608314^4+20032*57227^4=769786^4+20032*13373^4
221079^4+20032*61036^4=510169^4+20032*57081^4
222712^4+20032*71363^4=421768^4+20032*70339^4
415427^4+20032*92448^4=547987^4+20032*91479^4
15798^4+20032*104027^4=601642^4+20032*102543^4

Found 52 solutions.
Search finished successfully.

real 67m56.087s
user 56m55.653s
sys 0m41.256s

-bash-3.1$ time ./dqde4 20033 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20033, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 192939389
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
466^4+20033*53^4=673^4+20033*8^4
1171^4+20033*226^4=2712^4+20033*39^4
4364^4+20033*319^4=4882^4+20033*101^4
21167^4+20033*1135^4=21981^4+20033*405^4
9721^4+20033*1162^4=13808^4+20033*821^4
2763^4+20033*1167^4=10669^4+20033*1049^4
5803^4+20033*1288^4=15049^4+20033*706^4
527^4+20033*2104^4=12721^4+20033*2068^4
22279^4+20033*2411^4=30989^4+20033*481^4
2839^4+20033*2432^4=28852^4+20033*793^4
15427^4+20033*2852^4=34287^4+20033*18^4
41053^4+20033*3308^4=47217^4+20033*1914^4
24452^4+20033*3527^4=27942^4+20033*3453^4
61868^4+20033*4009^4=66169^4+20033*2392^4
25448^4+20033*5237^4=61561^4+20033*2738^4
21352^4+20033*6593^4=75823^4+20033*3976^4
9017^4+20033*7522^4=61478^4+20033*7063^4
59057^4+20033*8434^4=103217^4+20033*1058^4
71597^4+20033*8543^4=107293^4+20033*2191^4
90721^4+20033*9952^4=127498^4+20033*181^4
120922^4+20033*15173^4=187922^4+20033*6139^4
86784^4+20033*16113^4=193678^4+20033*533^4
94428^4+20033*18087^4=165314^4+20033*16477^4
37462^4+20033*18667^4=221761^4+20033*5312^4
251557^4+20033*19114^4=285861^4+20033*2538^4
135888^4+20033*21339^4=217001^4+20033*18362^4
120603^4+20033*21987^4=260231^4+20033*11129^4
93136^4+20033*22211^4=254003^4+20033*14084^4
935384^4+20033*23201^4=937132^4+20033*7583^4
377852^4+20033*23459^4=386093^4+20033*21436^4
102561^4+20033*24613^4=293913^4+20033*1933^4
96481^4+20033*27314^4=231821^4+20033*25408^4
388067^4+20033*27614^4=416542^4+20033*21427^4
228791^4+20033*29187^4=337331^4+20033*21561^4
72261^4+20033*33576^4=329273^4+20033*28774^4
349457^4+20033*35393^4=442617^4+20033*25113^4
101889^4+20033*37243^4=260313^4+20033*36109^4
242566^4+20033*38317^4=401036^4+20033*31913^4
79041^4+20033*38452^4=414309^4+20033*29102^4
470633^4+20033*44359^4=593729^4+20033*18527^4
561102^4+20033*49927^4=580779^4+20033*48388^4
517236^4+20033*50373^4=528299^4+20033*49744^4
450219^4+20033*60558^4=711787^4+20033*40486^4
580699^4+20033*72932^4=908242^4+20033*6263^4
90581^4+20033*84718^4=677909^4+20033*80006^4
187227^4+20033*92468^4=640281^4+20033*89714^4
689309^4+20033*124916^4=911857^4+20033*121822^4
405839^4+20033*200882^4=623388^4+20033*200691^4

Found 48 solutions.
Search finished successfully.

real 56m55.278s
user 55m28.426s
sys 0m26.085s

-bash-3.1$ time ./dqde4 20034 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20034, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 220129538
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
4143^4+20034*376^4=5097^4+20034*178^4
1293^4+20034*529^4=5427^4+20034*433^4
5580^4+20034*785^4=6852^4+20034*751^4
14169^4+20034*851^4=15009^4+20034*239^4
8341^4+20034*1207^4=14717^4+20034*387^4
3833^4+20034*1396^4=13177^4+20034*1232^4
3909^4+20034*1451^4=14403^4+20034*1231^4
3309^4+20034*1864^4=20883^4+20034*1268^4
11049^4+20034*2738^4=30447^4+20034*1936^4
21387^4+20034*3517^4=32517^4+20034*3221^4
19824^4+20034*5527^4=33012^4+20034*5449^4
2151^4+20034*5666^4=35481^4+20034*5554^4
477^4+20034*5887^4=69483^4+20034*2477^4
55023^4+20034*6092^4=65937^4+20034*5464^4
125719^4+20034*9021^4=139705^4+20034*2965^4
62001^4+20034*9751^4=69753^4+20034*9629^4
129931^4+20034*10247^4=149965^4+20034*1515^4
5648^4+20034*10583^4=125852^4+20034*2167^4
120292^4+20034*14589^4=179476^4+20034*7933^4
110829^4+20034*16114^4=112275^4+20034*16090^4
14559^4+20034*17015^4=79113^4+20034*16915^4
93901^4+20034*17632^4=181499^4+20034*14674^4
52207^4+20034*27358^4=151481^4+20034*27036^4
29747^4+20034*27593^4=210661^4+20034*26341^4
423921^4+20034*31646^4=476391^4+20034*14488^4
366924^4+20034*33653^4=457452^4+20034*6283^4
309917^4+20034*34236^4=414763^4+20034*24446^4
271337^4+20034*34572^4=417217^4+20034*20786^4
34199^4+20034*36156^4=217367^4+20034*35552^4
346641^4+20034*36437^4=439137^4+20034*28141^4
481023^4+20034*42769^4=578967^4+20034*25301^4
294033^4+20034*42998^4=394809^4+20034*40072^4
2441^4+20034*44002^4=358031^4+20034*41368^4
188947^4+20034*45077^4=464075^4+20034*37015^4
145461^4+20034*45488^4=469293^4+20034*37042^4
570801^4+20034*54947^4=732879^4+20034*10909^4
57693^4+20034*55591^4=645357^4+20034*30737^4
172773^4+20034*80531^4=745611^4+20034*71867^4
480222^4+20034*81941^4=841098^4+20034*69067^4
383146^4+20034*118393^4=859718^4+20034*114233^4
519153^4+20034*121780^4=774153^4+20034*119750^4
710607^4+20034*203476^4=864201^4+20034*203026^4

Found 42 solutions.
Search finished successfully.

real 76m8.657s
user 55m39.766s
sys 1m6.029s

-bash-3.1$ time ./dqde4 20035 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20035, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 29012320
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
47122^4+20035*2777^4=49046^4+20035*2023^4
32555^4+20035*9699^4=112695^4+20035*5407^4
861711^4+20035*37838^4=877327^4+20035*18^4
22424^4+20035*51263^4=602668^4+20035*23809^4

Found 4 solutions.
Search finished successfully.

real 43m5.245s
user 43m3.019s
sys 0m2.212s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20036 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20036, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 57789082
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1009^4+20036*249^4=2879^4+20036*147^4
265^4+20036*263^4=2583^4+20036*225^4
25474^4+20036*1073^4=25862^4+20036*353^4
26188^4+20036*2033^4=30024^4+20036*129^4
19423^4+20036*2426^4=30241^4+20036*22^4
13019^4+20036*7639^4=63109^4+20036*7151^4
81894^4+20036*11623^4=142002^4+20036*3767^4
109973^4+20036*13295^4=140027^4+20036*11795^4
255539^4+20036*14158^4=262429^4+20036*11296^4
126471^4+20036*14532^4=184087^4+20036*2642^4
370393^4+20036*16542^4=377561^4+20036*2178^4
18344^4+20036*27927^4=202052^4+20036*26919^4
492623^4+20036*39268^4=537679^4+20036*32716^4
769635^4+20036*57654^4=863645^4+20036*29846^4
275111^4+20036*66992^4=799833^4+20036*5964^4
102761^4+20036*77351^4=920313^4+20036*1347^4

Found 16 solutions.
Search finished successfully.

real 42m16.744s
user 42m12.888s
sys 0m3.813s

-bash-3.1$ time ./dqde4 20037 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20037, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 21533023
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
269517^4+20037*79499^4=910701^4+20037*49237^4
404557^4+20037*148968^4=811021^4+20037*147412^4

Found 2 solutions.
Search finished successfully.

real 54m57.099s
user 54m54.737s
sys 0m2.282s

-bash-3.1$ time ./dqde4 20038 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20038, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 58977235
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
8104^4+20038*373^4=8276^4+20038*149^4
23857^4+20038*699^4=23943^4+20038*257^4
38755^4+20038*5316^4=61435^4+20038*3762^4
26491^4+20038*5347^4=63637^4+20038*2203^4
34597^4+20038*8464^4=85939^4+20038*7058^4
183647^4+20038*22759^4=283751^4+20038*6269^4
143521^4+20038*23568^4=218711^4+20038*21546^4
132302^4+20038*35077^4=413798^4+20038*16027^4
214237^4+20038*49411^4=573523^4+20038*28571^4
407531^4+20038*51206^4=459091^4+20038*49564^4
459253^4+20038*66461^4=697877^4+20038*56083^4

Found 11 solutions.
Search finished successfully.

real 48m39.961s
user 48m36.943s
sys 0m2.975s

-bash-3.1$ time ./dqde4 20039 -m 200000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20039, N = 200000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 3786345
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2067^4+20039*86^4=2079^4+20039*76^4
8071^4+20039*974^4=12217^4+20039*86^4
19645^4+20039*1075^4=20433^4+20039*513^4
17396^4+20039*1957^4=22682^4+20039*1567^4
5897^4+20039*2102^4=23863^4+20039*1358^4
1917^4+20039*2136^4=25411^4+20039*316^4
40459^4+20039*3272^4=46607^4+20039*1894^4
12107^4+20039*4226^4=32117^4+20039*4042^4
379^4+20039*4697^4=16963^4+20039*4687^4
30878^4+20039*5791^4=69574^4+20039*929^4
112601^4+20039*11956^4=137541^4+20039*10146^4
105228^4+20039*12131^4=122802^4+20039*11321^4

Found 12 solutions.
Search finished successfully.

real 0m45.307s
user 0m45.042s
sys 0m0.260s

-bash-3.1$ time ./dqde4 20040 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20040, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 194911198
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
14377^4+20040*673^4=14711^4+20040*67^4
14738^4+20040*1387^4=18662^4+20040*227^4
29930^4+20040*7401^4=86710^4+20040*3849^4
9672^4+20040*9677^4=109872^4+20040*6221^4
34410^4+20040*9871^4=115890^4+20040*4871^4
14375^4+20040*12856^4=119225^4+20040*11458^4
219852^4+20040*21973^4=269952^4+20040*17059^4
152498^4+20040*38681^4=438014^4+20040*25591^4
90069^4+20040*50222^4=278667^4+20040*49624^4
279148^4+20040*61891^4=739552^4+20040*14843^4
592561^4+20040*170402^4=934577^4+20040*168766^4

Found 11 solutions.
Search finished successfully.

real 57m17.275s
user 54m9.622s
sys 0m29.724s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20041 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20041, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 74817518
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
77^4+20041*51^4=441^4+20041*47^4
1519^4+20041*512^4=6097^4+20041*76^4
3010^4+20041*989^4=10472^4+20041*775^4
11393^4+20041*1878^4=18253^4+20041*1668^4
34223^4+20041*5622^4=49693^4+20041*5256^4
72516^4+20041*9299^4=82904^4+20041*8979^4
28648^4+20041*9795^4=106460^4+20041*7293^4
16863^4+20041*11506^4=67949^4+20041*11328^4
695091^4+20041*14369^4=695679^4+20041*7501^4
81747^4+20041*19442^4=203629^4+20041*15606^4
174816^4+20041*19727^4=246454^4+20041*10869^4
194128^4+20041*23293^4=274292^4+20041*16963^4
659407^4+20041*65816^4=818251^4+20041*49138^4
800977^4+20041*128490^4=967773^4+20041*125660^4
268959^4+20041*353927^4=672233^4+20041*353871^4

Found 15 solutions.
Search finished successfully.

real 45m31.963s
user 45m26.475s
sys 0m5.474s

-bash-3.1$ time ./dqde4 20042 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20042, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 31869678
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
161179^4+20042*12017^4=181221^4+20042*5169^4
830679^4+20042*22443^4=832807^4+20042*9827^4
182313^4+20042*44532^4=530089^4+20042*14816^4

Found 3 solutions.
Search finished successfully.

real 34m27.409s
user 34m24.877s
sys 0m2.532s

-bash-3.1$ time ./dqde4 20043 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20043, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 115351745
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
34141^4+20043*1208^4=34403^4+20043*396^4
12578^4+20043*1809^4=17032^4+20043*1669^4
104642^4+20043*2359^4=104696^4+20043*2077^4
11633^4+20043*2391^4=28453^4+20043*973^4
80103^4+20043*4733^4=84171^4+20043*2681^4
60354^4+20043*5363^4=73716^4+20043*1999^4
64575^4+20043*8773^4=107805^4+20043*2689^4
145449^4+20043*29251^4=325443^4+20043*21007^4
592233^4+20043*34391^4=615027^4+20043*25117^4
102927^4+20043*35674^4=311217^4+20043*32798^4
191744^4+20043*48353^4=576622^4+20043*11587^4
833199^4+20043*59623^4=923511^4+20043*25009^4
66076^4+20043*67547^4=266402^4+20043*67343^4
252609^4+20043*105596^4=372867^4+20043*105434^4
161399^4+20043*124785^4=913601^4+20043*120055^4

Found 15 solutions.
Search finished successfully.

real 49m25.759s
user 49m15.322s
sys 0m10.437s

-bash-3.1$ time ./dqde4 20044 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20044, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 36914900
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
392709^4+20044*51586^4=563083^4+20044*42468^4

Found 1 solutions.
Search finished successfully.

real 54m54.564s
user 54m51.326s
sys 0m3.082s

-bash-3.1$ time ./dqde4 20045 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20045, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 56772426
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
23931^4+20045*959^4=24177^4+20045*635^4
7868^4+20045*14561^4=112824^4+20045*13857^4
176265^4+20045*19398^4=248005^4+20045*5648^4
19753^4+20045*41750^4=156059^4+20045*41648^4
376319^4+20045*46808^4=579723^4+20045*20190^4
353177^4+20045*63563^4=604689^4+20045*56829^4
506465^4+20045*73102^4=535875^4+20045*72564^4
18687^4+20045*74081^4=620037^4+20045*69059^4

Found 8 solutions.
Search finished successfully.

real 41m9.023s
user 41m4.180s
sys 0m4.543s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20046 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20046, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 277372425
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
541^4+20046*87^4=853^4+20046*77^4
1603^4+20046*326^4=3907^4+20046*22^4
203^4+20046*483^4=3691^4+20046*461^4
13011^4+20046*2372^4=28533^4+20046*382^4
19423^4+20046*2504^4=30217^4+20046*1482^4
25553^4+20046*4566^4=54959^4+20046*946^4
43736^4+20046*4743^4=59156^4+20046*2969^4
80836^4+20046*5831^4=90088^4+20046*743^4
148997^4+20046*6896^4=151693^4+20046*4562^4
22913^4+20046*7391^4=83399^4+20046*4917^4
13778^4+20046*7927^4=94162^4+20046*2313^4
2183^4+20046*8964^4=106631^4+20046*1652^4
63164^4+20046*16623^4=198304^4+20046*1551^4
163244^4+20046*21747^4=265432^4+20046*10349^4
155923^4+20046*22057^4=267613^4+20046*10079^4
442777^4+20046*23799^4=449009^4+20046*21421^4
142499^4+20046*23876^4=274853^4+20046*15706^4
203191^4+20046*25527^4=317903^4+20046*3467^4
77522^4+20046*25639^4=305386^4+20046*2553^4
89813^4+20046*25699^4=144827^4+20046*25419^4
990797^4+20046*28093^4=993757^4+20046*14629^4
190709^4+20046*29177^4=241597^4+20046*28069^4
55009^4+20046*37043^4=435439^4+20046*17317^4
537343^4+20046*37933^4=593737^4+20046*13159^4
30461^4+20046*40751^4=484837^4+20046*6003^4
88176^4+20046*45097^4=535356^4+20046*14263^4
349005^4+20046*49634^4=607821^4+20046*3950^4
492563^4+20046*51919^4=576091^4+20046*46581^4
339823^4+20046*55618^4=673007^4+20046*1914^4
166786^4+20046*56107^4=433414^4+20046*53493^4
388421^4+20046*66807^4=788771^4+20046*36349^4
250064^4+20046*67781^4=808268^4+20046*10341^4
431114^4+20046*72689^4=876238^4+20046*21969^4
119717^4+20046*76827^4=459979^4+20046*75571^4

Found 34 solutions.
Search finished successfully.

real 100m31.611s
user 54m18.508s
sys 1m7.735s

-bash-3.1$ time ./dqde4 20047 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20047, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 33420435
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
9138^4+20047*2018^4=10909^4+20047*2007^4
80813^4+20047*9611^4=120907^4+20047*317^4

Found 2 solutions.
Search finished successfully.

real 39m49.833s
user 39m47.459s
sys 0m2.342s

-bash-3.1$ time ./dqde4 20048 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20048, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 153126989
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2331^4+20048*696^4=4837^4+20048*676^4
7156^4+20048*709^4=9312^4+20048*303^4
1544^4+20048*827^4=3692^4+20048*823^4
8272^4+20048*923^4=11776^4+20048*101^4
14146^4+20048*1067^4=14862^4+20048*963^4
7332^4+20048*1251^4=14864^4+20048*631^4
53861^4+20048*3133^4=56367^4+20048*1884^4
21236^4+20048*5249^4=42488^4+20048*4963^4
37846^4+20048*6443^4=57382^4+20048*5987^4
61339^4+20048*7300^4=87589^4+20048*4970^4
8396^4+20048*7663^4=16664^4+20048*7661^4
236293^4+20048*8278^4=238057^4+20048*353^4
204756^4+20048*15261^4=230572^4+20048*5533^4
169022^4+20048*16291^4=204106^4+20048*12521^4
669142^4+20048*21431^4=672642^4+20048*2931^4
54269^4+20048*24598^4=186307^4+20048*23528^4
149393^4+20048*29017^4=244049^4+20048*27317^4
8906^4+20048*30133^4=353302^4+20048*14747^4
80816^4+20048*30427^4=240668^4+20048*28841^4
729596^4+20048*44059^4=774004^4+20048*2213^4
788497^4+20048*55246^4=870117^4+20048*8301^4
232808^4+20048*60367^4=718972^4+20048*17701^4
745293^4+20048*104754^4=986227^4+20048*97024^4

Found 23 solutions.
Search finished successfully.

real 46m9.235s
user 45m55.336s
sys 0m13.899s

-bash-3.1$ time ./dqde4 20049 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20049, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 252868906
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
49^4+20049*24^4=277^4+20049*14^4
1864^4+20049*229^4=2863^4+20049*32^4
303^4+20049*284^4=1164^4+20049*283^4
20203^4+20049*523^4=20221^4+20049*461^4
15384^4+20049*959^4=16401^4+20049*418^4
16065^4+20049*1180^4=18021^4+20049*154^4
28283^4+20049*2066^4=30239^4+20049*1704^4
3883^4+20049*3554^4=33386^4+20049*3143^4
78520^4+20049*3707^4=80405^4+20049*582^4
20757^4+20049*3974^4=39828^4+20049*3397^4
27734^4+20049*4313^4=44360^4+20049*3675^4
7361^4+20049*4441^4=52297^4+20049*2001^4
35343^4+20049*5102^4=60771^4+20049*2944^4
22900^4+20049*5165^4=61534^4+20049*1791^4
33713^4+20049*5966^4=49580^4+20049*5665^4
37491^4+20049*6956^4=62754^4+20049*6389^4
100706^4+20049*7057^4=110323^4+20049*3858^4
6382^4+20049*7439^4=48599^4+20049*7264^4
11513^4+20049*8858^4=105401^4+20049*1138^4
89951^4+20049*10408^4=131566^4+20049*2729^4
416267^4+20049*13262^4=417967^4+20049*8916^4
58862^4+20049*13963^4=166241^4+20049*4766^4
47221^4+20049*14241^4=153269^4+20049*10849^4
56984^4+20049*15677^4=186701^4+20049*4246^4
117679^4+20049*15734^4=194126^4+20049*2021^4
94179^4+20049*24164^4=271197^4+20049*16552^4
232651^4+20049*26072^4=294328^4+20049*21991^4
47536^4+20049*27051^4=87634^4+20049*27017^4
189486^4+20049*27137^4=331788^4+20049*6829^4
105568^4+20049*27661^4=306058^4+20049*19809^4
183059^4+20049*30436^4=360403^4+20049*16416^4
297344^4+20049*32791^4=403783^4+20049*21662^4
116722^4+20049*36007^4=426068^4+20049*14683^4
536553^4+20049*36211^4=581541^4+20049*19633^4
522727^4+20049*44464^4=612214^4+20049*28127^4
88652^4+20049*45431^4=362981^4+20049*42932^4
622642^4+20049*47341^4=702023^4+20049*25222^4
303676^4+20049*49781^4=589727^4+20049*27016^4
6187^4+20049*51254^4=588437^4+20049*30978^4
564966^4+20049*53017^4=714258^4+20049*4903^4
270993^4+20049*57080^4=660726^4+20049*34265^4
12374^4+20049*58933^4=700723^4+20049*13888^4
331613^4+20049*63344^4=463664^4+20049*61599^4
213228^4+20049*76073^4=834747^4+20049*55336^4
163934^4+20049*76163^4=811784^4+20049*58887^4
508317^4+20049*85609^4=640347^4+20049*83519^4
261773^4+20049*90988^4=619894^4+20049*88523^4
77202^4+20049*131561^4=770235^4+20049*129590^4
370717^4+20049*192404^4=645262^4+20049*192133^4

Found 49 solutions.
Search finished successfully.

real 72m15.630s
user 49m22.022s
sys 1m7.643s

-bash-3.1$ time ./dqde4 20050 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20050, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 112700857
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
655^4+20050*74^4=935^4+20050*32^4
367^4+20050*98^4=1169^4+20050*2^4
1234^4+20050*237^4=2838^4+20050*77^4
10523^4+20050*1195^4=15173^4+20050*293^4
8025^4+20050*1607^4=18145^4+20050*1101^4
13948^4+20050*2039^4=24548^4+20050*1015^4
2887^4+20050*2889^4=26863^4+20050*2571^4
32303^4+20050*3970^4=48071^4+20050*2456^4
1113^4+20050*4127^4=47809^4+20050*2331^4
242954^4+20050*7489^4=244046^4+20050*671^4
9708^4+20050*7619^4=52856^4+20050*7389^4
66167^4+20050*12450^4=128719^4+20050*10308^4
75131^4+20050*13001^4=156133^4+20050*4775^4
233768^4+20050*14775^4=249924^4+20050*6697^4
195893^4+20050*24493^4=302149^4+20050*11525^4
110397^4+20050*27514^4=328453^4+20050*2100^4
489445^4+20050*37421^4=555875^4+20050*15721^4
118240^4+20050*40901^4=474280^4+20050*23099^4
121135^4+20050*40974^4=403665^4+20050*35026^4
661915^4+20050*43614^4=717075^4+20050*8564^4
168859^4+20050*49263^4=431037^4+20050*45293^4
329412^4+20050*52813^4=638984^4+20050*15123^4
373565^4+20050*54333^4=646245^4+20050*31519^4
781972^4+20050*56233^4=856096^4+20050*36919^4
360303^4+20050*74099^4=886521^4+20050*20639^4
89825^4+20050*75298^4=836065^4+20050*52814^4
345869^4+20050*87196^4=987533^4+20050*57704^4
520997^4+20050*129700^4=739747^4+20050*128390^4

Found 28 solutions.
Search finished successfully.

real 43m2.965s
user 42m53.027s
sys 0m9.937s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20051 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20051, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 13397129
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
37811^4+20051*2869^4=42393^4+20051*1713^4
66024^4+20051*15629^4=174588^4+20051*10931^4
203464^4+20051*16531^4=237658^4+20051*5689^4

Found 3 solutions.
Search finished successfully.

real 24m35.974s
user 24m35.253s
sys 0m0.721s

-bash-3.1$ time ./dqde4 20052 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20052, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 65571602
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1466^4+20052*217^4=2546^4+20052*137^4
16469^4+20052*706^4=16741^4+20052*32^4
5927^4+20052*1599^4=11497^4+20052*1547^4
12742^4+20052*2549^4=30566^4+20052*53^4
74733^4+20052*6592^4=90861^4+20052*2588^4
129713^4+20052*8861^4=141809^4+20052*3277^4
193643^4+20052*9359^4=197371^4+20052*6781^4
109219^4+20052*9591^4=120893^4+20052*8369^4
114219^4+20052*11567^4=150981^4+20052*4669^4
4159^4+20052*13132^4=155663^4+20052*4626^4
99279^4+20052*15799^4=149409^4+20052*14341^4
528993^4+20052*37234^4=552399^4+20052*32984^4
115763^4+20052*42349^4=490253^4+20052*24227^4
106049^4+20052*57763^4=663167^4+20052*34957^4
587602^4+20052*64233^4=823798^4+20052*3033^4
644439^4+20052*71537^4=667833^4+20052*70619^4
594696^4+20052*122411^4=694956^4+20052*121669^4

Found 17 solutions.
Search finished successfully.

real 33m19.194s
user 33m13.810s
sys 0m5.384s

-bash-3.1$ time ./dqde4 20053 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20053, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 24713775
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
4739^4+20053*1456^4=15677^4+20053*1108^4
27613^4+20053*18069^4=209377^4+20053*10191^4
260747^4+20053*53639^4=585241^4+20053*40379^4
339798^4+20053*86017^4=702958^4+20053*81087^4

Found 4 solutions.
Search finished successfully.

real 30m37.904s
user 30m36.582s
sys 0m1.321s

-bash-3.1$ time ./dqde4 20054 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20054, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 75441836
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
66519^4+20054*18276^4=206897^4+20054*12062^4
20130^4+20054*18305^4=211998^4+20054*10369^4
190463^4+20054*27643^4=254519^4+20054*25759^4
5339^4+20054*67687^4=805331^4+20054*11189^4
7325^4+20054*73476^4=870715^4+20054*26382^4

Found 5 solutions.
Search finished successfully.

real 57m47.625s
user 57m39.678s
sys 0m7.875s

-bash-3.1$ time ./dqde4 20055 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20055, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 144609638
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
17344^4+20055*4339^4=39118^4+20055*3945^4
24971^4+20055*17925^4=193051^4+20055*13579^4
693378^4+20055*19891^4=694428^4+20055*17153^4
314623^4+20055*25027^4=364573^4+20055*2167^4
24865^4+20055*27903^4=252155^4+20055*25221^4
237821^4+20055*29087^4=363829^4+20055*6329^4
43744^4+20055*47989^4=135806^4+20055*47951^4
58243^4+20055*53270^4=633917^4+20055*5646^4
395125^4+20055*60894^4=675895^4+20055*46208^4
795448^4+20055*100669^4=991414^4+20055*92903^4

Found 10 solutions.
Search finished successfully.

real 48m2.534s
user 47m50.384s
sys 0m12.138s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20056 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20056, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 241705138
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1628^4+20056*233^4=2732^4+20056*151^4
18923^4+20056*1367^4=20821^4+20056*847^4
4176^4+20056*1747^4=19652^4+20056*1173^4
28762^4+20056*2709^4=36214^4+20056*1221^4
11720^4+20056*5237^4=62320^4+20056*1013^4
34786^4+20056*5273^4=63562^4+20056*2383^4
54523^4+20056*6220^4=78811^4+20056*1930^4
47616^4+20056*8971^4=107784^4+20056*1397^4
24094^4+20056*9977^4=85294^4+20056*9239^4
9818^4+20056*16067^4=170266^4+20056*12541^4
178266^4+20056*17473^4=203442^4+20056*15529^4
334044^4+20056*17717^4=346556^4+20056*3531^4
202534^4+20056*20095^4=264910^4+20056*6121^4
326249^4+20056*21583^4=353527^4+20056*7421^4
158771^4+20056*22108^4=271379^4+20056*3442^4
113038^4+20056*22891^4=274406^4+20056*1843^4
316364^4+20056*28707^4=367104^4+20056*22859^4
372987^4+20056*32879^4=454821^4+20056*1613^4
131401^4+20056*38975^4=263785^4+20056*37981^4
340658^4+20056*41199^4=391202^4+20056*39297^4
383242^4+20056*44029^4=519646^4+20056*33083^4
221496^4+20056*48281^4=577708^4+20056*2529^4
148747^4+20056*52012^4=502763^4+20056*45154^4
40676^4+20056*62409^4=435264^4+20056*60481^4
113657^4+20056*64212^4=172647^4+20056*64178^4
504185^4+20056*87649^4=540985^4+20056*87257^4

Found 26 solutions.
Search finished successfully.

real 69m44.649s
user 47m36.455s
sys 1m0.381s

-bash-3.1$ time ./dqde4 20057 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20057, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 29151364
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
45779^4+20057*6272^4=77151^4+20057*306^4
13061^4+20057*7202^4=36353^4+20057*7144^4
22932^4+20057*8397^4=99998^4+20057*191^4
126241^4+20057*8818^4=139181^4+20057*256^4
17429^4+20057*11467^4=62799^4+20057*11337^4
56413^4+20057*25148^4=296849^4+20057*10742^4
167864^4+20057*37259^4=444198^4+20057*12663^4
5329^4+20057*63572^4=727381^4+20057*39262^4

Found 8 solutions.
Search finished successfully.

real 38m51.117s
user 38m48.942s
sys 0m2.162s

-bash-3.1$ time ./dqde4 20058 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20058, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 15281394
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
168537^4+20058*7886^4=172449^4+20058*916^4
72731^4+20058*21756^4=152963^4+20058*21098^4

Found 2 solutions.
Search finished successfully.

real 30m4.575s
user 30m3.456s
sys 0m0.971s

-bash-3.1$ time ./dqde4 20059 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20059, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 93424099
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
3181^4+20059*5023^4=36937^4+20059*4829^4
53529^4+20059*12307^4=147061^4+20059*2391^4
44468^4+20059*14141^4=168466^4+20059*2281^4
146265^4+20059*20920^4=251189^4+20059*11226^4
110554^4+20059*21287^4=255596^4+20059*1837^4
592727^4+20059*22207^4=598469^4+20059*5971^4
12669^4+20059*23446^4=212609^4+20059*21156^4
118562^4+20059*27231^4=319152^4+20059*14357^4
340407^4+20059*40268^4=397147^4+20059*37878^4
100569^4+20059*62101^4=269751^4+20059*61829^4
511093^4+20059*65166^4=772683^4+20059*43754^4

Found 11 solutions.
Search finished successfully.

real 47m35.851s
user 47m27.924s
sys 0m7.895s

-bash-3.1$ time ./dqde4 20060 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20060, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 230399827
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
589^4+20060*57^4=707^4+20060*45^4
2051^4+20060*647^4=5501^4+20060*601^4
4113^4+20060*744^4=8159^4+20060*562^4
16331^4+20060*1657^4=20933^4+20060*1109^4
22251^4+20060*3183^4=38299^4+20060*1661^4
4596^4+20060*7991^4=78228^4+20060*6857^4
42637^4+20060*9710^4=114499^4+20060*4696^4
69096^4+20060*10833^4=131504^4+20060*337^4
606802^4+20060*25711^4=614498^4+20060*17201^4
101365^4+20060*55279^4=353525^4+20060*54097^4
327331^4+20060*62191^4=718147^4+20060*38825^4
264725^4+20060*71317^4=593355^4+20060*66819^4
153314^4+20060*72931^4=824498^4+20060*47939^4
95969^4+20060*112615^4=705487^4+20060*110389^4

Found 14 solutions.
Search finished successfully.

real 69m46.172s
user 48m34.841s
sys 0m58.314s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20061 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20061, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 107432217
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2064^4+20061*173^4=2394^4+20061*113^4
633^4+20061*1177^4=14007^4+20061*137^4
14238^4+20061*1427^4=18696^4+20061*569^4
1092^4+20061*1783^4=21198^4+20061*451^4
43098^4+20061*2701^4=46062^4+20061*947^4
25227^4+20061*4937^4=56433^4+20061*3229^4
89229^4+20061*6163^4=98007^4+20061*1361^4
39558^4+20061*7079^4=80808^4+20061*4747^4
56124^4+20061*7999^4=95448^4+20061*4609^4
22149^4+20061*11459^4=111309^4+20061*9899^4
14553^4+20061*11719^4=139377^4+20061*2687^4
105663^4+20061*14194^4=135069^4+20061*13184^4
58428^4+20061*15377^4=183252^4+20061*4079^4
118302^4+20061*16351^4=198546^4+20061*7841^4
26505^4+20061*33709^4=383631^4+20061*21445^4
124158^4+20061*35977^4=427302^4+20061*12617^4
35523^4+20061*37220^4=437025^4+20061*17822^4
522439^4+20061*37425^4=562561^4+20061*28745^4
556739^4+20061*74646^4=920809^4+20061*2812^4
110154^4+20061*108761^4=500592^4+20061*108149^4

Found 20 solutions.
Search finished successfully.

real 51m17.812s
user 51m7.916s
sys 0m9.877s

-bash-3.1$ time ./dqde4 20062 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20062, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 34601350
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1137^4+20062*181^4=1369^4+20062*177^4
11917^4+20062*1249^4=13877^4+20062*1123^4
66284^4+20062*2269^4=66536^4+20062*1853^4
49151^4+20062*3269^4=53393^4+20062*269^4
26219^4+20062*4478^4=54029^4+20062*976^4
75677^4+20062*10028^4=120547^4+20062*5912^4
90613^4+20062*12441^4=152997^4+20062*1457^4
80774^4+20062*13081^4=156122^4+20062*6503^4
24698^4+20062*13501^4=50818^4+20062*13469^4
87551^4+20062*14133^4=161649^4+20062*9683^4
72329^4+20062*18119^4=171281^4+20062*16043^4
124112^4+20062*22199^4=267356^4+20062*617^4
115067^4+20062*29111^4=347507^4+20062*1099^4
52709^4+20062*32681^4=388333^4+20062*9323^4
144153^4+20062*34844^4=416103^4+20062*6008^4
432703^4+20062*39674^4=492889^4+20062*33656^4
414887^4+20062*46498^4=572239^4+20062*29968^4
636730^4+20062*52017^4=746890^4+20062*7281^4
126471^4+20062*93214^4=492679^4+20062*92298^4

Found 19 solutions.
Search finished successfully.

real 43m59.106s
user 43m56.490s
sys 0m2.592s

-bash-3.1$ time ./dqde4 20063 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20063, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 29644256
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
29558^4+20063*7864^4=30631^4+20063*7861^4
38673^4+20063*14413^4=98862^4+20063*14008^4
389023^4+20063*15203^4=393434^4+20063*5248^4
71717^4+20063*26486^4=312473^4+20063*11624^4
35794^4+20063*42508^4=505907^4+20063*2663^4
845266^4+20063*46794^4=860089^4+20063*41487^4
457022^4+20063*48274^4=606317^4+20063*30533^4
607586^4+20063*75779^4=756698^4+20063*69571^4
40101^4+20063*501639^4=782432^4+20063*501602^4

Found 9 solutions.
Search finished successfully.

real 38m23.189s
user 38m20.945s
sys 0m2.202s

-bash-3.1$ time ./dqde4 20064 -m 200000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20064, N = 200000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 16885492
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2852^4+20064*429^4=3836^4+20064*403^4
2620^4+20064*477^4=5740^4+20064*61^4
2202^4+20064*1051^4=12234^4+20064*569^4
2817^4+20064*1138^4=9087^4+20064*1076^4
16327^4+20064*1448^4=19583^4+20064*883^4
2724^4+20064*1723^4=20508^4+20064*59^4
478^4+20064*1867^4=20498^4+20064*1353^4
55349^4+20064*1902^4=55459^4+20064*1749^4
3462^4+20064*2713^4=22074^4+20064*2551^4
26234^4+20064*3395^4=36266^4+20064*2895^4
7358^4+20064*3659^4=30766^4+20064*3407^4
54944^4+20064*5219^4=69992^4+20064*67^4
17159^4+20064*5222^4=33727^4+20064*5113^4
8858^4+20064*5901^4=68054^4+20064*3463^4
156792^4+20064*6709^4=159216^4+20064*3307^4
152898^4+20064*8159^4=158094^4+20064*4811^4
21173^4+20064*9346^4=111157^4+20064*2352^4
62974^4+20064*9381^4=100882^4+20064*7617^4
51803^4+20064*9544^4=114085^4+20064*3820^4
32817^4+20064*10696^4=124359^4+20064*5917^4
73903^4+20064*11026^4=108839^4+20064*9813^4
119027^4+20064*12708^4=150773^4+20064*10081^4
10256^4+20064*13613^4=99488^4+20064*13101^4
20567^4+20064*15472^4=84521^4+20064*15298^4
32548^4+20064*18043^4=96196^4+20064*17861^4
127832^4+20064*20913^4=164768^4+20064*20241^4
144446^4+20064*27373^4=151058^4+20064*27321^4
86204^4+20064*27437^4=164332^4+20064*27021^4

Found 28 solutions.
Search finished successfully.

real 1m5.790s
user 1m4.637s
sys 0m1.151s

-bash-3.1$ time ./dqde4 20065 -m 200000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20065, N = 200000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 7419492
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2823^4+20065*907^4=9071^4+20065*765^4
2894^4+20065*1275^4=12128^4+20065*1119^4
8933^4+20065*1942^4=20069^4+20065*1594^4
149721^4+20065*6782^4=152754^4+20065*2209^4
87879^4+20065*8381^4=105353^4+20065*6483^4
95279^4+20065*15278^4=117908^4+20065*14875^4
131061^4+20065*19172^4=141648^4+20065*18979^4
102936^4+20065*23681^4=147079^4+20065*23340^4

Found 8 solutions.
Search finished successfully.

real 1m3.816s
user 1m3.166s
sys 0m0.651s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20066 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20066, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 37913961
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
27311^4+20066*4649^4=32887^4+20066*4571^4
27799^4+20066*12962^4=112663^4+20066*11926^4
182546^4+20066*27663^4=336122^4+20066*8337^4
52159^4+20066*48659^4=212687^4+20066*48437^4

Found 4 solutions.
Search finished successfully.

real 33m24.044s
user 33m21.771s
sys 0m2.272s

-bash-3.1$ time ./dqde4 20067 -m 500000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20067, N = 500000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 10758581
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
6587^4+20067*441^4=7169^4+20067*53^4
2039^4+20067*763^4=6841^4+20067*693^4
4227^4+20067*1612^4=16701^4+20067*1304^4
17842^4+20067*7609^4=89182^4+20067*3783^4
271687^4+20067*12048^4=276811^4+20067*274^4
80963^4+20067*34052^4=92951^4+20067*34042^4

Found 6 solutions.
Search finished successfully.

real 6m46.721s
user 6m45.942s
sys 0m0.751s

-bash-3.1$ time ./dqde4 20068 -m 200000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20068, N = 200000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 4318324
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
509^4+20068*101^4=973^4+20068*89^4
3214^4+20068*643^4=7654^4+20068*269^4
1878^4+20068*1489^4=17722^4+20068*177^4
13907^4+20068*1719^4=19789^4+20068*1311^4
24474^4+20068*2297^4=30542^4+20068*1239^4
96797^4+20068*4998^4=100077^4+20068*692^4
35590^4+20068*8101^4=70550^4+20068*7493^4
67833^4+20068*9944^4=119913^4+20068*4798^4
158292^4+20068*10273^4=170748^4+20068*2849^4
158803^4+20068*11303^4=175757^4+20068*4639^4
41776^4+20068*12931^4=138812^4+20068*9901^4
2512^4+20068*13675^4=162184^4+20068*4715^4

Found 12 solutions.
Search finished successfully.

real 0m39.451s
user 0m39.157s
sys 0m0.290s

-bash-3.1$ time ./dqde4 20069 -m 500000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20069, N = 500000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 24955065
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
2663^4+20069*311^4=3917^4+20069*107^4
9858^4+20069*1441^4=13806^4+20069*1313^4
3061^4+20069*1844^4=21849^4+20069*678^4
14016^4+20069*2703^4=26686^4+20069*2341^4
82504^4+20069*3109^4=83218^4+20069*1879^4
24708^4+20069*6707^4=43038^4+20069*6577^4
222^4+20069*6777^4=35968^4+20069*6709^4
42516^4+20069*14277^4=170018^4+20069*2953^4
46505^4+20069*57224^4=474205^4+20069*53518^4
296027^4+20069*71749^4=311349^4+20069*71691^4

Found 10 solutions.
Search finished successfully.

real 9m24.383s
user 9m22.337s
sys 0m2.012s

-bash-3.1$ time ./dqde4 20070 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20070, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 95249394
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
83731^4+20070*13033^4=145067^4+20070*9803^4
91596^4+20070*13271^4=121032^4+20070*12425^4
232996^4+20070*26845^4=298112^4+20070*22851^4
491219^4+20070*34169^4=534581^4+20070*21013^4
651005^4+20070*40569^4=688915^4+20070*25681^4
422851^4+20070*51297^4=640499^4+20070*19049^4
322113^4+20070*64084^4=679359^4+20070*51044^4
2502^4+20070*66313^4=695586^4+20070*52631^4
106257^4+20070*70318^4=734007^4+20070*56224^4
369709^4+20070*86742^4=914771^4+20070*68990^4

Found 10 solutions.
Search finished successfully.

real 42m7.799s
user 41m59.989s
sys 0m7.735s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20071 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20071, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 18898053
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
18503^4+20071*1566^4=21639^4+20071*982^4
198876^4+20071*17551^4=242686^4+20071*963^4

Found 2 solutions.
Search finished successfully.

real 35m43.430s
user 35m42.271s
sys 0m1.141s

-bash-3.1$ time ./dqde4 20072 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20072, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 2785321
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
94^4+20072*7^4=106^4+20072*1^4
173^4+20072*31^4=269^4+20072*29^4
171^4+20072*36^4=341^4+20072*32^4
3754^4+20072*229^4=3954^4+20072*147^4
604^4+20072*277^4=3256^4+20072*131^4
5666^4+20072*637^4=8114^4+20072*83^4
23268^4+20072*819^4=23416^4+20072*523^4
6108^4+20072*869^4=10104^4+20072*589^4
14188^4+20072*1343^4=18036^4+20072*63^4
9946^4+20072*1661^4=19982^4+20072*629^4
30336^4+20072*1879^4=32364^4+20072*97^4
7226^4+20072*2291^4=27298^4+20072*373^4
29481^4+20072*2589^4=35753^4+20072*1037^4
83496^4+20072*3273^4=84464^4+20072*841^4
16693^4+20072*3601^4=40821^4+20072*2409^4
18205^4+20072*3631^4=43555^4+20072*217^4
4058^4+20072*3641^4=9462^4+20072*3639^4
63514^4+20072*4787^4=71234^4+20072*2699^4
29398^4+20072*4799^4=54874^4+20072*3281^4
6178^4+20072*4987^4=54038^4+20072*3731^4
23496^4+20072*5151^4=51388^4+20072*4391^4
16452^4+20072*5197^4=24564^4+20072*5171^4
33487^4+20072*5798^4=69841^4+20072*1648^4
47344^4+20072*7141^4=72316^4+20072*6211^4
39666^4+20072*8063^4=67818^4+20072*7577^4
66904^4+20072*9901^4=96716^4+20072*8891^4

Found 26 solutions.
Search finished successfully.

real 0m10.691s
user 0m10.429s
sys 0m0.261s

-bash-3.1$ time ./dqde4 20073 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20073, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 27729615
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
47876^4+20073*4843^4=61258^4+20073*3241^4
18862^4+20073*5043^4=59008^4+20073*2647^4
61513^4+20073*17971^4=72307^4+20073*17943^4
116291^4+20073*20554^4=231641^4+20073*14496^4
126781^4+20073*36219^4=394421^4+20073*26957^4
638528^4+20073*89163^4=839258^4+20073*82697^4

Found 6 solutions.
Search finished successfully.

real 34m43.618s
user 34m41.967s
sys 0m1.651s

-bash-3.1$ time ./dqde4 20074 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20074, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 43803428
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
79529^4+20074*2500^4=79903^4+20074*1070^4
115291^4+20074*15912^4=195587^4+20074*1662^4
901109^4+20074*27884^4=905227^4+20074*52^4
442443^4+20074*46007^4=598243^4+20074*9549^4
568923^4+20074*52181^4=709627^4+20074*4581^4
679039^4+20074*214808^4=814343^4+20074*214522^4

Found 6 solutions.
Search finished successfully.

real 45m22.744s
user 45m20.413s
sys 0m2.332s

-bash-3.1$ time ./dqde4 20075 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20075, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 1495441
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
966^4+20075*123^4=1516^4+20075*55^4
11233^4+20075*695^4=11981^4+20075*59^4
9367^4+20075*1070^4=13469^4+20075*484^4
10528^4+20075*1211^4=15346^4+20075*47^4
16475^4+20075*1214^4=18505^4+20075*164^4
400^4+20075*1381^4=15910^4+20075*817^4
13506^4+20075*1705^4=19956^4+20075*1219^4
35540^4+20075*1829^4=36730^4+20075*79^4
3452^4+20075*1891^4=21514^4+20075*1207^4
2875^4+20075*2258^4=6615^4+20075*2256^4
8935^4+20075*2822^4=25165^4+20075*2572^4
20398^4+20075*3509^4=42236^4+20075*1145^4
20325^4+20075*3594^4=43255^4+20075*992^4
40439^4+20075*5963^4=72773^4+20075*817^4
21629^4+20075*6359^4=39003^4+20075*6255^4
10779^4+20075*8145^4=55747^4+20075*7913^4

Found 16 solutions.
Search finished successfully.

real 0m7.143s
user 0m7.032s
sys 0m0.110s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20076 -m 500000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20076, N = 500000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 28599474
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1135^4+20076*239^4=2689^4+20076*165^4
4579^4+20076*448^4=5459^4+20076*366^4
9924^4+20076*463^4=10152^4+20076*31^4
14317^4+20076*1604^4=20099^4+20076*874^4
8984^4+20076*1705^4=17588^4+20076*1415^4
102808^4+20076*5951^4=104644^4+20076*5393^4
26084^4+20076*7207^4=34144^4+20076*7177^4
51029^4+20076*9004^4=108389^4+20076*2442^4
16144^4+20076*11265^4=55340^4+20076*11183^4
380201^4+20076*14668^4=384121^4+20076*7206^4
106577^4+20076*15154^4=149119^4+20076*13632^4
124833^4+20076*21163^4=255327^4+20076*5611^4
368993^4+20076*32002^4=437393^4+20076*19652^4
347299^4+20076*34995^4=459565^4+20076*7143^4
37292^4+20076*46551^4=235168^4+20076*46169^4
108299^4+20076*63279^4=395099^4+20076*62053^4

Found 16 solutions.
Search finished successfully.

real 9m18.267s
user 9m16.588s
sys 0m1.661s

-bash-3.1$ time ./dqde4 20077 -m 500000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20077, N = 500000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 24632187
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
29^4+20077*3^4=39^4+20077*1^4
83^4+20077*107^4=1273^4+20077*23^4
8184^4+20077*641^4=9356^4+20077*321^4
8861^4+20077*764^4=10369^4+20077*518^4
12799^4+20077*1006^4=13183^4+20077*962^4
36246^4+20077*5009^4=61532^4+20077*1101^4
32723^4+20077*5037^4=57033^4+20077*3631^4
36316^4+20077*6337^4=68854^4+20077*4907^4
92453^4+20077*11751^4=146109^4+20077*1663^4
145121^4+20077*12000^4=171103^4+20077*3420^4
20541^4+20077*12451^4=141003^4+20077*8123^4
50257^4+20077*12799^4=131617^4+20077*10511^4
193903^4+20077*13527^4=213689^4+20077*2463^4
109313^4+20077*19611^4=236193^4+20077*1733^4
166331^4+20077*22221^4=216313^4+20077*20391^4
59438^4+20077*23419^4=278912^4+20077*433^4
308269^4+20077*63914^4=466777^4+20077*61996^4

Found 17 solutions.
Search finished successfully.

real 9m48.142s
user 9m46.310s
sys 0m1.831s

-bash-3.1$ time ./dqde4 20078 -m 3000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20078, N = 3000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 150901824
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...

Found 0 solutions.
Search finished successfully.

real 425m0.549s
user 424m46.821s
sys 0m13.369s

-bash-3.1$ time ./dqde4 20079 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20079, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 2470557
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
101^4+20079*7^4=106^4+20079*6^4
284^4+20079*36^4=445^4+20079*15^4
1429^4+20079*166^4=2027^4+20079*106^4
1509^4+20079*257^4=2061^4+20079*247^4
1681^4+20079*296^4=3517^4+20079*146^4
836^4+20079*608^4=7237^4+20079*89^4
12253^4+20079*1963^4=13001^4+20079*1953^4
3801^4+20079*1981^4=23466^4+20079*746^4
17499^4+20079*3013^4=36336^4+20079*718^4
88979^4+20079*3049^4=89501^4+20079*1881^4
37700^4+20079*3215^4=45152^4+20079*817^4
46701^4+20079*3572^4=52521^4+20079*2134^4
1272^4+20079*4004^4=46959^4+20079*1963^4
48149^4+20079*4073^4=56222^4+20079*2594^4
23894^4+20079*4841^4=57934^4+20079*1449^4
28181^4+20079*5794^4=69397^4+20079*1346^4
74252^4+20079*7092^4=91019^4+20079*5001^4
31898^4+20079*14740^4=64811^4+20079*14675^4

Found 18 solutions.
Search finished successfully.

real 0m10.783s
user 0m10.542s
sys 0m0.240s

-bash-3.1$ time ./dqde4 20080 -m 200000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20080, N = 200000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 10210817
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
334^4+20080*117^4=1338^4+20080*73^4
103^4+20080*118^4=1403^4+20080*31^4
52^4+20080*159^4=1056^4+20080*155^4
13046^4+20080*1291^4=17062^4+20080*35^4
14352^4+20080*2435^4=29412^4+20080*167^4
11212^4+20080*2705^4=32296^4+20080*619^4
9672^4+20080*3115^4=35776^4+20080*1899^4
33637^4+20080*3835^4=48697^4+20080*34^4
47599^4+20080*4096^4=54307^4+20080*3193^4
35613^4+20080*4868^4=39687^4+20080*4771^4
6808^4+20080*5801^4=69056^4+20080*407^4
41131^4+20080*8104^4=71317^4+20080*7502^4
78588^4+20080*8905^4=88628^4+20080*8457^4
50093^4+20080*10463^4=113057^4+20080*8032^4
22466^4+20080*10565^4=125122^4+20080*4037^4
99355^4+20080*15852^4=192225^4+20080*1273^4
111614^4+20080*16489^4=189586^4+20080*11471^4
65466^4+20080*17963^4=152814^4+20080*16705^4

Found 18 solutions.
Search finished successfully.

real 1m9.477s
user 1m8.671s
sys 0m0.790s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20081 -m 500000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20081, N = 500000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 24334130
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
7217^4+20081*1052^4=12821^4+20081*346^4
14258^4+20081*2585^4=28706^4+20081*1895^4
43302^4+20081*4419^4=57103^4+20081*2278^4
43063^4+20081*6905^4=83225^4+20081*2729^4
111682^4+20081*12007^4=120088^4+20081*11611^4
118511^4+20081*13324^4=162156^4+20081*9117^4
121621^4+20081*18574^4=181864^4+20081*16573^4
399775^4+20081*22051^4=413785^4+20081*14843^4
48408^4+20081*29871^4=307913^4+20081*24302^4
465732^4+20081*29903^4=498156^4+20081*16591^4
308002^4+20081*32119^4=389229^4+20081*24654^4
449154^4+20081*32945^4=485580^4+20081*25699^4
3919^4+20081*45274^4=477091^4+20081*35684^4

Found 13 solutions.
Search finished successfully.

real 8m19.114s
user 8m17.311s
sys 0m1.721s

-bash-3.1$ time ./dqde4 20082 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20082, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 24602000
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
48611^4+20082*31433^4=363229^4+20082*18199^4
165803^4+20082*46442^4=400093^4+20082*42984^4
183403^4+20082*49992^4=593101^4+20082*19362^4
59951^4+20082*55043^4=642329^4+20082*28959^4
461497^4+20082*123909^4=877303^4+20082*120163^4

Found 5 solutions.
Search finished successfully.

real 34m59.399s
user 34m57.294s
sys 0m1.901s

-bash-3.1$ time ./dqde4 20083 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20083, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 47028838
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
9587^4+20083*2731^4=32539^4+20083*691^4
166171^4+20083*4618^4=166633^4+20083*2356^4
20560^4+20083*6453^4=53430^4+20083*6047^4
88183^4+20083*6804^4=99963^4+20083*3674^4
55019^4+20083*12777^4=71217^4+20083*12677^4
61597^4+20083*15077^4=179701^4+20083*4643^4

Found 6 solutions.
Search finished successfully.

real 38m41.401s
user 38m37.789s
sys 0m3.132s

-bash-3.1$ time ./dqde4 20084 -m 200000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20084, N = 200000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 2235496
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
133^4+20084*44^4=523^4+20084*14^4
9170^4+20084*785^4=10914^4+20084*399^4
38592^4+20084*3897^4=39268^4+20084*3863^4
8511^4+20084*6582^4=78353^4+20084*848^4
46456^4+20084*11327^4=135264^4+20084*2241^4
79853^4+20084*12487^4=106019^4+20084*11899^4
41922^4+20084*13993^4=78582^4+20084*13831^4
135838^4+20084*16931^4=176006^4+20084*15053^4
78549^4+20084*24009^4=148843^4+20084*23591^4

Found 9 solutions.
Search finished successfully.

real 0m39.149s
user 0m38.954s
sys 0m0.190s

-bash-3.1$ time ./dqde4 20085 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20085, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 183327028
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
4^4+20085*17^4=202^4+20085*5^4
239^4+20085*177^4=2027^4+20085*109^4
6787^4+20085*1264^4=9281^4+20085*1230^4
20411^4+20085*4392^4=34007^4+20085*4210^4
725923^4+20085*20024^4=727777^4+20085*11738^4
185176^4+20085*22139^4=278324^4+20085*1723^4
176329^4+20085*23311^4=260171^4+20085*18427^4
49156^4+20085*23719^4=209992^4+20085*21657^4
377417^4+20085*47591^4=465379^4+20085*44165^4
42163^4+20085*70444^4=202637^4+20085*70384^4
125346^4+20085*71681^4=527046^4+20085*68927^4
481875^4+20085*170762^4=809415^4+20085*169816^4

Found 12 solutions.
Search finished successfully.

real 59m29.089s
user 42m30.744s
sys 0m37.382s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20086 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20086, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 38367367
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
28369^4+20086*6023^4=70367^4+20086*3361^4
71927^4+20086*7271^4=95401^4+20086*1367^4
74803^4+20086*8778^4=110619^4+20086*2536^4
95183^4+20086*18451^4=217063^4+20086*9863^4
227627^4+20086*29529^4=357771^4+20086*16727^4
465443^4+20086*53466^4=677259^4+20086*13568^4

Found 6 solutions.
Search finished successfully.

real 38m34.170s
user 38m31.713s
sys 0m2.362s

-bash-3.1$ time ./dqde4 20087 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20087, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 51418638
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
37279^4+20087*5326^4=65051^4+20087*1748^4
116777^4+20087*22574^4=237299^4+20087*18256^4
233057^4+20087*126623^4=375561^4+20087*126519^4
84512^4+20087*277679^4=612838^4+20087*277597^4

Found 4 solutions.
Search finished successfully.

real 42m35.108s
user 42m31.472s
sys 0m3.562s

-bash-3.1$ time ./dqde4 20088 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20088, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 3307512
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
84^4+20088*25^4=288^4+20088*15^4
231^4+20088*29^4=327^4+20088*23^4
444^4+20088*67^4=816^4+20088*11^4
522^4+20088*93^4=966^4+20088*77^4
633^4+20088*98^4=1191^4+20088*16^4
2958^4+20088*121^4=2994^4+20088*71^4
282^4+20088*173^4=1398^4+20088*163^4
4686^4+20088*763^4=9078^4+20088*397^4
18462^4+20088*835^4=18834^4+20088*275^4
17832^4+20088*2081^4=24204^4+20088*1609^4
69312^4+20088*2411^4=69816^4+20088*277^4
1584^4+20088*2923^4=12924^4+20088*2909^4
39642^4+20088*3091^4=45546^4+20088*61^4
79386^4+20088*3161^4=80202^4+20088*2039^4
34152^4+20088*3245^4=40848^4+20088*2515^4
14808^4+20088*3359^4=39876^4+20088*1399^4
14608^4+20088*3761^4=44416^4+20088*1713^4
30168^4+20088*5463^4=56208^4+20088*4567^4
6852^4+20088*5617^4=66804^4+20088*1423^4
28902^4+20088*5777^4=69306^4+20088*79^4
25879^4+20088*5971^4=58441^4+20088*5167^4
34638^4+20088*6667^4=80022^4+20088*1571^4
11007^4+20088*6767^4=74367^4+20088*4897^4
18969^4+20088*7928^4=72729^4+20088*7116^4
46758^4+20088*11863^4=87162^4+20088*11447^4
37884^4+20088*11957^4=75948^4+20088*11723^4
51774^4+20088*13151^4=96654^4+20088*12689^4

Found 27 solutions.
Search finished successfully.

real 0m12.365s
user 0m12.084s
sys 0m0.280s

-bash-3.1$ time ./dqde4 20089 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20089, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 43767935
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1259^4+20089*848^4=9961^4+20089*406^4
18587^4+20089*1449^4=20779^4+20089*1017^4
4721^4+20089*3881^4=44899^4+20089*2227^4
44149^4+20089*6076^4=60299^4+20089*5468^4
256803^4+20089*34588^4=426223^4+20089*8358^4
276321^4+20089*41198^4=322349^4+20089*40284^4
40619^4+20089*53561^4=635423^4+20089*18413^4
741955^4+20089*59530^4=862489^4+20089*17696^4
4507^4+20089*65306^4=722011^4+20089*46466^4
67681^4+20089*71685^4=738567^4+20089*58355^4

Found 10 solutions.
Search finished successfully.

real 30m9.949s
user 30m7.293s
sys 0m2.612s

-bash-3.1$ time ./dqde4 20090 -m 500000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20090, N = 500000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 70051318
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
547^4+20090*43^4=629^4+20090*17^4
97^4+20090*100^4=1177^4+20090*46^4
14^4+20090*195^4=2282^4+20090*99^4
23497^4+20090*2633^4=31729^4+20090*1891^4
5241^4+20090*2932^4=29937^4+20090*2414^4
19859^4+20090*4565^4=35931^4+20090*4353^4
10339^4+20090*7187^4=60277^4+20090*6697^4
43519^4+20090*9672^4=111559^4+20090*5910^4
13097^4+20090*10145^4=24577^4+20090*10141^4
34963^4+20090*11080^4=122131^4+20090*7988^4
106841^4+20090*11936^4=139559^4+20090*9428^4
60130^4+20090*12011^4=135030^4+20090*8373^4
158473^4+20090*12904^4=184961^4+20090*5422^4
123660^4+20090*13171^4=155640^4+20090*10579^4
162988^4+20090*14285^4=197708^4+20090*5171^4
141215^4+20090*17168^4=215015^4+20090*4082^4
282426^4+20090*17987^4=302418^4+20090*8419^4
80773^4+20090*18512^4=220829^4+20090*5870^4
226296^4+20090*18911^4=266196^4+20090*9601^4
43589^4+20090*22363^4=266077^4+20090*5311^4
66763^4+20090*23954^4=123357^4+20090*23760^4
299721^4+20090*24039^4=326671^4+20090*20269^4
358131^4+20090*26947^4=390981^4+20090*20681^4
83841^4+20090*28207^4=335991^4+20090*5813^4
141275^4+20090*89371^4=415675^4+20090*88853^4

Found 25 solutions.
Search finished successfully.

real 10m32.764s
user 10m27.720s
sys 0m5.044s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20091 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20091, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 2831972
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
13^4+20091*10^4=115^4+20091*6^4
1127^4+20091*129^4=1489^4+20091*103^4
942^4+20091*131^4=1608^4+20091*31^4
893^4+20091*237^4=2003^4+20091*221^4
1195^4+20091*281^4=3359^4+20091*5^4
2154^4+20091*673^4=7944^4+20091*299^4
808^4+20091*723^4=8474^4+20091*359^4
4786^4+20091*851^4=10216^4+20091*303^4
5633^4+20091*854^4=9899^4+20091*568^4
4354^4+20091*891^4=8878^4+20091*763^4
9803^4+20091*955^4=10325^4+20091*923^4
6149^4+20091*1138^4=13399^4+20091*616^4
10043^4+20091*1490^4=14075^4+20091*1366^4
23110^4+20091*1591^4=25324^4+20091*605^4
31526^4+20091*1667^4=32696^4+20091*289^4
5036^4+20091*1783^4=21242^4+20091*261^4
38331^4+20091*2672^4=42033^4+20091*1322^4
7611^4+20091*2737^4=32571^4+20091*719^4
11222^4+20091*3401^4=40544^4+20091*541^4
40333^4+20091*3429^4=48119^4+20091*1329^4
29051^4+20091*3536^4=39739^4+20091*2868^4
87963^4+20091*3841^4=89049^4+20091*2869^4
2609^4+20091*3911^4=45899^4+20091*1901^4
14102^4+20091*4563^4=54358^4+20091*979^4
21829^4+20091*4641^4=55277^4+20091*1801^4
28995^4+20091*5864^4=63747^4+20091*4460^4
28277^4+20091*6786^4=70283^4+20091*5534^4
36311^4+20091*7189^4=81151^4+20091*4947^4
29593^4+20091*31999^4=63793^4+20091*31993^4

Found 29 solutions.
Search finished successfully.

real 0m13.163s
user 0m12.893s
sys 0m0.270s

-bash-3.1$ time ./dqde4 20092 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20092, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 13692455
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
8176^4+20092*1209^4=11916^4+20092*1079^4

Found 1 solutions.
Search finished successfully.

real 30m8.029s
user 30m7.167s
sys 0m0.861s

-bash-3.1$ time ./dqde4 20093 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20093, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 33046853
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
190345^4+20093*13942^4=211515^4+20093*7692^4
170349^4+20093*70998^4=732953^4+20093*57704^4

Found 2 solutions.
Search finished successfully.

real 37m13.283s
user 37m11.325s
sys 0m1.951s

-bash-3.1$ time ./dqde4 20094 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20094, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 2385489
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
128^4+20094*77^4=916^4+20094*19^4
619^4+20094*109^4=1013^4+20094*99^4
419^4+20094*119^4=941^4+20094*113^4
3241^4+20094*247^4=3679^4+20094*99^4
7361^4+20094*302^4=7463^4+20094*84^4
12179^4+20094*687^4=12709^4+20094*373^4
3365^4+20094*965^4=7459^4+20094*921^4
33239^4+20094*1616^4=34135^4+20094*20^4
66799^4+20094*1877^4=67007^4+20094*339^4
9783^4+20094*1882^4=13857^4+20094*1828^4
48727^4+20094*2794^4=50561^4+20094*2008^4
61249^4+20094*3067^4=63095^4+20094*625^4
34287^4+20094*3533^4=46089^4+20094*401^4
4852^4+20094*4183^4=49804^4+20094*87^4
51283^4+20094*4871^4=65341^4+20094*383^4
32969^4+20094*9966^4=71713^4+20094*9632^4

Found 16 solutions.
Search finished successfully.

real 0m12.472s
user 0m12.251s
sys 0m0.220s

-bash-3.1$ time ./dqde4 20095 -m 500000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20095, N = 500000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 26122156
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
55229^4+20095*2949^4=57303^4+20095*1199^4
5167^4+20095*3377^4=37319^4+20095*2407^4
55149^4+20095*3511^4=59168^4+20095*1242^4
37776^4+20095*9604^4=94851^4+20095*8227^4
157628^4+20095*14890^4=200063^4+20095*3533^4
387131^4+20095*17592^4=395169^4+20095*1946^4
146189^4+20095*19080^4=183369^4+20095*17738^4
27349^4+20095*19915^4=193696^4+20095*17188^4
212387^4+20095*45020^4=438691^4+20095*39220^4

Found 9 solutions.
Search finished successfully.

real 9m10.397s
user 9m8.654s
sys 0m1.741s

(続く)

引用して返信編集・削除(未編集)

-bash-3.1$ time ./dqde4 20096 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20096, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 3134707
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
316^4+20096*85^4=940^4+20096*61^4
308^4+20096*1243^4=14612^4+20096*587^4
1708^4+20096*1295^4=14620^4+20096*857^4
124^4+20096*1363^4=16204^4+20096*379^4
16159^4+20096*1928^4=16193^4+20096*1927^4
3211^4+20096*2434^4=28331^4+20096*1321^4
17788^4+20096*2453^4=22548^4+20096*2307^4
41016^4+20096*3787^4=49776^4+20096*2531^4
4889^4+20096*5689^4=66119^4+20096*3134^4
24348^4+20096*6711^4=79612^4+20096*2617^4
60776^4+20096*7191^4=90584^4+20096*1257^4
68939^4+20096*7708^4=94027^4+20096*5258^4

Found 12 solutions.
Search finished successfully.

real 0m15.348s
user 0m15.117s
sys 0m0.230s

-bash-3.1$ time ./dqde4 20097 -m 100000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20097, N = 100000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 4801964
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
72^4+20097*7^4=93^4+20097*2^4
23^4+20097*11^4=131^4+20097*1^4
351^4+20097*26^4=384^4+20097*19^4
411^4+20097*136^4=807^4+20097*134^4
138^4+20097*157^4=1776^4+20097*103^4
3446^4+20097*229^4=3743^4+20097*8^4
1362^4+20097*257^4=1971^4+20097*248^4
449^4+20097*462^4=5293^4+20097*284^4
1154^4+20097*579^4=6887^4+20097*152^4
2323^4+20097*589^4=3709^4+20097*579^4
982^4+20097*591^4=7037^4+20097*72^4
3204^4+20097*719^4=7989^4+20097*514^4
4024^4+20097*863^4=10331^4+20097*174^4
694^4+20097*951^4=11276^4+20097*341^4
26731^4+20097*978^4=26938^4+20097*587^4
33923^4+20097*1154^4=33991^4+20097*1056^4
11994^4+20097*1499^4=18693^4+20097*238^4
8943^4+20097*1574^4=17853^4+20097*1088^4
34462^4+20097*1607^4=34651^4+20097*1504^4
679^4+20097*1823^4=21343^4+20097*921^4
2526^4+20097*1957^4=22917^4+20097*986^4
5228^4+20097*2091^4=24758^4+20097*823^4
39261^4+20097*2230^4=41127^4+20097*880^4
22237^4+20097*2297^4=27043^4+20097*1913^4
2150^4+20097*2397^4=28540^4+20097*103^4
8192^4+20097*2545^4=30319^4+20097*600^4
42516^4+20097*2669^4=45264^4+20097*1453^4
18119^4+20097*2842^4=29383^4+20097*2406^4
5521^4+20097*3144^4=35509^4+20097*2078^4
34614^4+20097*3349^4=44619^4+20097*262^4
37673^4+20097*3851^4=45989^4+20097*3143^4
86456^4+20097*4167^4=88598^4+20097*1987^4
70753^4+20097*4348^4=75316^4+20097*1343^4
11838^4+20097*5849^4=43833^4+20097*5606^4
6187^4+20097*6369^4=70141^4+20097*4583^4
72517^4+20097*7356^4=91976^4+20097*5221^4
14536^4+20097*7587^4=86993^4+20097*4646^4
12522^4+20097*7751^4=55686^4+20097*7481^4
40665^4+20097*7796^4=64605^4+20097*7378^4
61783^4+20097*8446^4=70517^4+20097*8228^4
23717^4+20097*12746^4=91519^4+20097*12304^4
64672^4+20097*16613^4=82046^4+20097*16537^4

Found 42 solutions.
Search finished successfully.

real 0m16.485s
user 0m16.124s
sys 0m0.360s

-bash-3.1$ time ./dqde4 20098 -m 200000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20098, N = 200000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 4996649
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
93^4+20098*8^4=107^4+20098*6^4
771^4+20098*329^4=3867^4+20098*157^4
1073^4+20098*359^4=3113^4+20098*331^4
7560^4+20098*641^4=7900^4+20098*609^4
4486^4+20098*717^4=7578^4+20098*589^4
4951^4+20098*853^4=9553^4+20098*617^4
1561^4+20098*2434^4=21761^4+20098*2212^4
76387^4+20098*6011^4=87803^4+20098*2551^4
28313^4+20098*10552^4=125711^4+20098*1354^4
5277^4+20098*11518^4=85669^4+20098*11052^4
47522^4+20098*11961^4=136298^4+20098*7719^4
33688^4+20098*12123^4=102708^4+20098*11269^4
77190^4+20098*15281^4=150650^4+20098*13233^4
90589^4+20098*16222^4=195421^4+20098*2426^4
104361^4+20098*20648^4=177023^4+20098*19302^4

Found 15 solutions.
Search finished successfully.

real 1m2.130s
user 1m1.699s
sys 0m0.432s

-bash-3.1$ time ./dqde4 20099 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20099, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 87114583
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
1185^4+20099*234^4=2795^4+20099*88^4
4079^4+20099*1445^4=9253^4+20099*1415^4
39909^4+20099*2331^4=40487^4+20099*2167^4
8759^4+20099*5516^4=65673^4+20099*864^4
285524^4+20099*14909^4=295556^4+20099*4547^4
18172^4+20099*16819^4=110906^4+20099*16409^4
71603^4+20099*19489^4=173963^4+20099*17783^4
109357^4+20099*19712^4=236903^4+20099*6098^4
225366^4+20099*25279^4=305964^4+20099*17813^4
293541^4+20099*27423^4=350423^4+20099*20731^4

Found 10 solutions.
Search finished successfully.

real 44m55.375s
user 44m47.614s
sys 0m7.755s

-bash-3.1$ time ./dqde4 20100 -m 1000000
--- Diophantine Equation A^4 + h*B^4 = C^4 + h*D^4 Search Started ---
Settings: h = 20100, N = 1000000, FILTER_MOD = 1360, HASH_MOD = 9999991, Verbose = OFF
[2/4] Computing and filtering (z^4 - x^4) / h...
Total nodes collected after filter: 139841863
[3/4] Creating hash index table...
[4/4] Generating y^4 - w^4 and performing main search...
799^4+20100*111^4=1201^4+20100*91^4
139^4+20100*303^4=3077^4+20100*251^4
8578^4+20100*755^4=10454^4+20100*99^4
25195^4+20100*1669^4=26395^4+20100*1383^4
6920^4+20100*1797^4=21220^4+20100*821^4
59290^4+20100*3401^4=61310^4+20100*2599^4
32755^4+20100*3652^4=45635^4+20100*2098^4
534634^4+20100*24187^4=545138^4+20100*10731^4
203425^4+20100*25508^4=316655^4+20100*9558^4
24214^4+20100*36369^4=88802^4+20100*36353^4
64648^4+20100*42321^4=500564^4+20100*17089^4
541424^4+20100*43547^4=630668^4+20100*5141^4
195487^4+20100*49252^4=588241^4+20100*402^4
218163^4+20100*56942^4=646941^4+20100*37180^4
657765^4+20100*58483^4=805515^4+20100*15983^4
522125^4+20100*66378^4=718045^4+20100*56072^4
408588^4+20100*68497^4=810588^4+20100*37231^4
318555^4+20100*78601^4=738645^4+20100*69899^4
329870^4+20100*80449^4=956990^4+20100*29407^4
405347^4+20100*82711^4=991597^4+20100*14477^4

Found 20 solutions.
Search finished successfully.

real 44m6.701s
user 43m56.375s
sys 0m10.106s

(以上)

引用して返信編集・削除(未編集)

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