is 2 1441361 - 1
has 433893 decimal digits
takes 0.055 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L34D9C2FD7F334728double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26720.615268.6567%2000000600000000.28577.2245%20.900870.9211%2.2644%
PrimeNet2560.006762.5000%65001100000.00072.7778%0.007363.5417%1.0417%
GPU722600.106665.0000%6000900000.00061.3554%0.107165.4744%0.4744%
Difference+7+20.5086+3.6567%+1994000+59910000+0.2851+5.8691%+20.7937+5.4467%+5.4467%

Known prime factors (1 factor, 71.7 bits, 0.00497649% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
144136139141961688896227774232271.7291357812570511351
509 × 769 × 3468931331
2015-10-057693468931331333.9110.46319.542

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-29T00:00:00Team Prime Ribv4_computers15000243750---0.002--0.838%
2010-05-17T14:39:00Rob_Deetwopc100000200000---0.006--1.215%
2010-05-18T14:46:00Rob_Deetwopc2000001000000---0.013--2.331%
2010-05-19T19:13:00Rob_Deetwopc2000002000000---0.017--2.817%
2010-05-20T16:31:00Rob_Deetwopc2000003000000---0.020--3.108%
2010-05-21T15:50:00Rob_Deetwopc2000004000000---0.023--3.318%
2010-05-22T16:10:00Rob_Deetwopc2000005000000---0.026--3.482%
2014-11-14T01:20:00Jocelyn LaroucheManual testing244530244530---0.014--1.385%
2015-01-27T21:58:00Jocelyn LaroucheManual testing325469325469---0.018--1.589%
2015-01-30T21:42:00Jocelyn LaroucheManual testing358015358015---0.020--1.660%
2015-02-13T18:00:00Jocelyn LaroucheManual testing393816393816---0.022--1.733%
2015-02-25T03:47:00Jocelyn LaroucheManual testing476516476516---0.026--1.885%
2015-03-03T20:46:00Jocelyn LaroucheManual testing524167524167---0.029--1.964%
2015-03-10T07:55:00Jocelyn LaroucheManual testing576583576583---0.032--2.045%
2015-04-08T16:58:00Jocelyn LaroucheManual testing767431767431---0.042--2.298%
2015-05-01T17:21:00Jocelyn LaroucheManual testing928591928591---0.051--2.475%
2015-05-03T21:49:00alpertronManual testing200000060000000---0.286--7.224%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-10-13T00:00:00ANONYMOUSv4_computers21257--0.013--
2003-07-21T00:00:00ANONYMOUSv4_computers21258--0.027--
2010-05-11T14:40:00Architects Cubeda3_bu2260261--0.107--
2011-07-17T18:55:00GrunwalderGIMPManual testing21263--1.107--
2015-03-22T20:54:00snme2pm1Manual testing263264--1.362--
2015-03-22T22:51:00snme2pm1Manual testing264265--2.592--
2015-09-15T08:33:00ramgeisManual testing265266--5.185--


ECM factoring results:

Old Calculation Method

Total ECM effort:25.502 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000301 / 1003.0104.855%
2550000301 / 2801.07534.064%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:25.502 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2630.000%
25500001.35725.749%
302500000.11389.315%
3510000000.00899.236%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025011.82
50000500000010.047
250000350000005013.63


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computers34D9C2FD7F3347280.055
2015-07-19T16:38:00MadPooManual testing34D9C2FD7F3347280.055


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:29:01alpertronManual testing
3914196168889622777423
C100337F031926__no
2017-10-18T06:52:06Oliver KruseThreadripper
3914196168889622777423
C100337F031926__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 928591 (P-1 stage 1)
B1 = 767431 (P-1 stage 1)
B1 = 576583 (P-1 stage 1)
B1 = 524167 (P-1 stage 1)
B1 = 476516 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 200000, B2 = 4000000 (P-1 stage 2)
B1 = 393816 (P-1 stage 1)
B1 = 358015 (P-1 stage 1)
B1 = 200000, B2 = 3000000 (P-1 stage 2)
B1 = 325469 (P-1 stage 1)
B1 = 200000, B2 = 2000000 (P-1 stage 2)
B1 = 244530 (P-1 stage 1)
B1 = 200000, B2 = 1000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000, B2 = 200000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 15000, B2 = 243750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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107
101
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1010
TF factor-bounds graph:
267
266
265
264
263
261
258
257
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2100
Last modified: 2022-01-25T11:43:31+00:00