is 2 1277 - 1
has 385 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ecm on 2021-07-16, 0.0% done, ETC 2021-08-24
0 L-L tests remaining
ResidueStatus
L-L5613A480590E78BAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26846,675.706183.8235%5000000000003400000000000240627.030129.4581%47,302.736288.5888%16.0888%
PrimeNet2400.000172.5000%500100000.00001.7119%0.000172.9708%0.4708%
GPU722440.001875.0000%500100000.00000.6566%0.001875.1642%0.1642%
Difference+24+46,675.7042+8.8235%+4999999999503+399999999990240+627.0301+28.8015%+47,302.7344+13.4247%+13.4247%

Known prime factors:
No known factors for M1,277

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-02-11T00:00:00ANONYMOUSv4_computers100001000000---1.51169e-6--0.172%
2001-02-11T00:00:00ANONYMOUSv4_computers1000000100000000---0.000--2.942%
2001-05-13T00:00:00ANONYMOUSv4_computers30000000004290000000---0.073--9.343%
2002-05-25T00:00:00ANONYMOUSv4_computers10737418244290000000---0.030--9.346%
2002-07-27T00:00:00ANONYMOUSv4_computers21474836484290000000---0.054--9.364%
2002-09-14T00:00:00ANONYMOUSv4_computers32212254724290000000---0.078--9.336%
2002-12-25T00:00:00ANONYMOUSv4_computers42900000002147483647---0.101--9.298%
2003-09-29T00:00:00ANONYMOUSv4_computers1000000100000000---0.000--2.942%
2003-11-28T00:00:00ANONYMOUSv4_computers1000000100000000---0.000--2.942%
2008-10-22T11:10:00Markus TervoorenManual testing450000000004500000000000---6.803--21.098%
2012-08-14T02:14:00Jocelyn LaroucheManual testing500000000002147483647---1.182--13.186%
2012-08-16T22:54:00Jocelyn LaroucheManual testing1500000000002147483647---3.546--14.998%
2012-08-17T16:46:00Jocelyn LaroucheManual testing2000000000002147483647---4.729--15.476%
2012-08-19T13:00:00Jocelyn LaroucheManual testing3100000000002147483647---7.329--16.208%
2012-08-21T10:48:00Jocelyn LaroucheManual testing5000000000002147483647---11.82--17.008%
2012-08-28T10:49:00Jocelyn LaroucheManual testing10000000000002147483647---23.64--18.172%
2012-09-05T10:39:00Jocelyn LaroucheManual testing15000000000002147483647---35.46--18.853%
2012-09-14T13:42:00Jocelyn LaroucheManual testing20000000000002147483647---47.29--19.336%
2012-09-15T01:39:00Jocelyn LaroucheManual testing20000000000003000000000000---48.57--20.174%
2012-09-15T12:42:00Jocelyn LaroucheManual testing20000000000004500000000000---50.51--20.999%
2012-09-18T11:39:00Jocelyn LaroucheManual testing200000000000010000000000000---57.59--22.592%
2012-09-22T05:03:00Jocelyn LaroucheManual testing200000000000020000000000000---70.47--23.939%
2012-09-25T16:14:00Jocelyn LaroucheManual testing200000000000030000000000000---83.35--24.713%
2016-02-29T00:01:41James Hintz08_04_201424047437656601.923795012528E+1412---301.6--28.134%
2016-05-15T10:55:08NoPolarBearsHereManual testing714879390545037401601512---0.740--16.876%
2016-08-06T10:53:22NoPolarBearsHereManual testing87239082440671740934788012---10.60--21.915%
2016-08-28T05:23:54James Hintz04_29_201643569131074233.4855304859384E+1412---546.4--29.210%
2016-10-31T00:06:46Bruno VictalManual testing10000001.0031929860615E+15---1,292--14.618%
2016-12-17T00:42:36kanaanManual testing100000020000006---2.49312e-5--1.092%
2016-12-17T00:42:36kanaanManual testing10000001000000012---3.52363e-5--1.809%
2017-01-25T13:30:22ANONYMOUSManual testing30100000000012---0.001--0.000%
2017-03-13T15:10:44James Hintz11_04_201650000000000034.0000000000024E+1412---627.0--29.458%
2019-09-21T12:56:09storm5510Manual testing24544834829196358678632012---3.078--19.583%
2020-11-10T23:37:37KuyiytereaManual testing100100000000000012---1.288--0.045%
2020-11-11T18:51:32KuyiytereaManual testing30100000000012---0.001--0.000%
2020-11-11T18:51:32KuyiytereaManual testing301000000000012---0.013--0.000%
2020-11-11T18:51:32KuyiytereaManual testing3010000000000012---0.129--0.001%
2021-02-09T20:24:52Martin ChristensenMy_New_Machine1000000080000000012---0.001--5.698%
2021-06-29T17:53:43DKZWaaaf10000000001000000000---0.024--7.175%
unknown5000000000003400000000000240---627.0--29.458%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-08T05:15:38GURA LOVE1000000000070000000000027--1.230
2021-05-25T02:55:25ViliamF31000000000001000000000000027--16.09
2021-05-30T00:37:18ViliamF31000000000001000000000000065--16.09
2021-06-13T07:53:23ViliamF31000000000000100000000000027--35.94
2021-06-28T22:12:49ViliamF31000000000000100000000000065--35.94


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29T00:00:00ANONYMOUSv4_computers251253--0.705--
1999-12-08T00:00:00ANONYMOUSv4_computers253254--0.940--
2000-01-12T00:00:00ANONYMOUSv4_computers254255--1.879--
2000-07-12T00:00:00ANONYMOUSv4_computers?256--7.517--
2002-08-17T00:00:00Alex Kruppav4_computers?257--15.03--
2002-08-24T00:00:00Alex Kruppav4_computers?257--15.03--
2010-12-10T19:19:00monstManual testing258260--90.21--
2014-02-28T21:47:00Sid & AndyManual testing260261--120.3--
2015-06-16T22:06:00snme2pm1G1261262--240.5--
2016-02-15T08:06:50snme2pm1G1262263--768.7--
2017-03-22T15:27:10Ducho_YYZManual testing263264--1,537--
2017-08-15T04:14:08Ducho_YYZManual testing264265--2,926--
2018-05-29T04:45:19Andriy MakukhaManual testing265266--5,852--
2018-06-03T15:38:54Andriy MakukhaManual testing266267--11,704--
2020-12-17T09:15:45Ruslan BorisovManual testing267268--23,407--


ECM factoring results:
Total ECM effort:9,172,685.828 GHz-days
Estimated T-Level:62.878
DigitsB1CurvesCompleteFacMiss
2011000732598 / 1007,325.9800.000%
2550000690073 / 2802,464.5460.000%
30250000375089 / 640586.0770.000%
351000000255093 / 1580161.4510.000%
403000000240095 / 470051.0840.000%
4511000000237311 / 970024.4650.000%
5044000000234705 / 1710013.7250.000%
55110000000229610 / 465004.9380.717%
60260000000227140 / 1120002.02813.159%
65800000000207193 / 3600000.57656.240%

ECM Summary

B1B2factorcurvesGHz-days
12012010,1000.000
12080001,300,0000.047
8008001502.76790e-5
10001000001003.40218e-5
100010000001,2000.002
200020000001,0000.003
300030000001,0000.004
400040000001,0000.005
500050000015,0000.026
500050000001,0000.007
600060000001,0000.008
700070000001,0000.009
800080001500.000
800080000001,0000.011
900090000001,0000.012
10000100001,0000.002
10000500001,0000.002
10000100000367,9980.885
1000010000002000.001
10000100000002000.003
11000110000011,6200.043
20000200000002000.005
2500010000003000.002
30000300000002000.008
3333398434710,0000.087
34543998434710,0000.190
40000400000002000.011
500005000013,5010.156
50000100000030,3000.381
50000500000069,1671.177
500001275000050,0001.279
50000500000005700.038
60000600000002000.016
70000700000002000.019
80000800000016,8000.457
80000800000002000.021
90000900000002000.024
10000010000001000.002
2500002500000012,2171.039
50000050000010,0001.153
50000050000001000.012
500000150000005000.066
10000001000000137,10231.62
100000020000001000.023
100000010000000107,00625.75
10000001000000004,8761.659
1000000100000000010,02413.39
1000000100000000000101.109
3000000300000010,0006.920
100000001000000001,0012.409
100000002000000001,0002.517
100000002500000001000.257
54875487948794874876.186
7500000075000000000101.002
7600000076000000000101.016
7700000077000000000101.029
7800000078000000000101.042
7900000079000000000101.056
8000000080000000000101.069
8100000081000000000101.082
8200000082000000000101.096
8300000083000000000101.109
8400000084000000000101.122
8500000085000000000101.136
8600000086000000000101.149
8700000087000000000101.163
8800000088000000000101.176
8900000089000000000101.189
10000000010000000001002.406
110000000110000000002,19582.15
260000000260000000002,767244.8
260000000317855988451614,93953,441
8000000008000000002,112389.7
80000000080000000002,000385.0
8000000008000000000043,64711,880
8000000008000000000001010.69
800000000129964630095482093,044
800000000158925826059161,70630,318
8000000002224937144431620496.1
800000000259925737671783239,350
800000000389886727830781596,890
800000000500000000000005277.6
800000000519847717989781056,060
850000000850000000203.921
85000000085000000000612177.0
8500000001489938239791895,0841,586,347
85000000015892628251516801,423
900000000900000000408.304
9000000009000000000015045.93
9000000001589267960281640711.8
95000000095000000018440.32
950000000190711253733168170.6
950000000259927029262081353,913
9500000005254980905791214817.2
999999999999999990017542.11
999999999999999999008,5142,897
1000000000100000000023453.97
10000000001000000000006221.09
1000000000190711767246167,037150,133
1000000000259927616348581574,552
11000000001100000000102.537
11000000002599286731042810290.2
120000000012000000006818.82
12000000002542816526251610284.2
12000000002599296124426828813.1
1200000000389890720018985217.1
12345678901234567890360102.5
1234567890500000000000008444.9
1234567890666000000000002,215163,881
14000000001400000000175.490
1400000000105099733765962151,749
150000000015000000002,9671,027
15000000003898936554514825911,264
1500000000105099826286082637,349
1600000000160000000010338.01
160000000038989459478988693,003
160000000051985570236618352,026
1600000000105099918806202141,633
1700000000170000000017367.84
1700000000389895651545581285,573
170000000051985664170458181,043
1700000000100000000000000212,332
17000000001051000344563524466.8
1800000000180000000016468.09
18000000002000000000000016360.7
180000000051985758104298181,043
180000000080000000000000302,668
180000000085000000000000151,417
1800000000100000000000000262,888
1800000000105100126976472151,751
1800000000157649589083922152,623
1800000000200000000000000296,431
1900000000519858637798684231.9
200000000020000000007132.75
2000000000200000000000200136.1
2000000000519859694554385289.9
200000000085000000000000151,418
2000000000100000000000000293,223
2000000000105100335146742222,569
2100000000519860633892782116.0
2200000000649822798224782144.8
2300000000649823620145882144.9
2400000000649824676901582144.9
25000000002500000000137.496
250000000050000000000001,0716,541
25000000002000000000000044310,059
2500000000779786606398982173.7
290000000029000000009362.21
2900000000290000000000160157.9
290000000070000000000000201,563
2900000000826409651067161,988183,137
290000000090975170616348414,155
290000000010510123721791235,7624,183,325
360000000036000000003125.74
3600000000105101931118812101,171
3600000000157651393226262111,928
3600000000210200832203682102,334
4000000000400000000000400544.3
450000000045000000009194.45
45000000007000000000000011863.5
4500000000105102833189982111,291
45000000001559572743128581173.6
45000000001576522952974325877.5
4500000000194945583102288102,168
4500000000210201734274852327,477
4500000000315300658489752113,850
4500000000420399559574622104,663
600000000060000000006083.04
76000000004200000000000005,6762,648,087
80000000008000000000001335.38
9999999990099999999900003102.1
1000000000000100000000000000011,336
various1,579724.6440


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T05:57:00MadPooManual testing5613A480590E78BA2.08222e-8


PRP results:
Exponent "1277" not found


P-1 factor-bounds graph:
B1 = 1000000, B2 = 1.0031929860615E+15 (stage 2)
B1 = 5000000000003, B2 = 4.0000000000024E+14 (stage 2)
B1 = 4356913107423, B2 = 3.4855304859384E+14 (stage 2)
B1 = 2404743765660, B2 = 1.923795012528E+14 (stage 2)
B1 = 5000000000003 (stage 1)
B1 = 4356913107423 (stage 1)
B1 = 2000000000000, B2 = 30000000000000 (stage 2)
B1 = 2000000000000, B2 = 20000000000000 (stage 2)
B1 = 2000000000000, B2 = 10000000000000 (stage 2)
B1 = 2404743765660 (stage 1)
B1 = 2000000000000, B2 = 4500000000000 (stage 2)
B1 = 2000000000000, B2 = 3000000000000 (stage 2)
B1 = 2000000000000 (stage 1)
B1 = 1500000000000 (stage 1)
B1 = 1000000000000 (stage 1)
B1 = 500000000000 (stage 1)
B1 = 87239082440, B2 = 6717409347880 (stage 2)
B1 = 310000000000 (stage 1)
B1 = 45000000000, B2 = 4500000000000 (stage 2)
B1 = 200000000000 (stage 1)
B1 = 150000000000 (stage 1)
B1 = 24544834829, B2 = 1963586786320 (stage 2)
B1 = 87239082440 (stage 1)
B1 = 100, B2 = 1000000000000 (stage 2)
B1 = 50000000000 (stage 1)
B1 = 45000000000 (stage 1)
B1 = 7148793905, B2 = 450374016015 (stage 2)
B1 = 24544834829 (stage 1)
B1 = 7148793905 (stage 1)
B1 = 30, B2 = 100000000000 (stage 2)
B1 = 4290000000 (stage 1)
B1 = 3221225472, B2 = 4290000000 (stage 2)
B1 = 3221225472 (stage 1)
B1 = 3000000000, B2 = 4290000000 (stage 2)
B1 = 3000000000 (stage 1)
B1 = 2147483648, B2 = 4290000000 (stage 2)
B1 = 2147483648 (stage 1)
B1 = 1073741824, B2 = 4290000000 (stage 2)
B1 = 1073741824 (stage 1)
B1 = 1000000000 (stage 1)
B1 = 30, B2 = 10000000000 (stage 2)
B1 = 30, B2 = 1000000000 (stage 2)
B1 = 10000000, B2 = 800000000 (stage 2)
B1 = 10000000 (stage 1)
B1 = 1000000, B2 = 100000000 (stage 2)
B1 = 1000000, B2 = 10000000 (stage 2)
B1 = 1000000, B2 = 2000000 (stage 2)
B1 = 1000000 (stage 1)
B1 = 10000, B2 = 1000000 (stage 2)
B1 = 30 (stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
100
101
102
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104
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109
1010
1011
1012
1013
1014
1015
1016
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
257
256
255
254
253
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290
2100
Last modified: 2021-07-11T07:47:43+00:00