is 2 2540113 - 1
has 764651 decimal digits
takes 0.176 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8659E306099B6F79double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.465467.6471%30000001350000001.02508.2616%24.490570.3199%2.6729%
PrimeNet2590.030262.7119%110002000000.00212.6833%0.032463.7124%1.0006%
GPU722630.628365.0794%120001800000.00211.4769%0.630565.5951%0.5157%
Difference+5+22.8371+2.5677%+2988000+134820000+1.0229+6.7847%+23.8600+4.7248%+4.7248%

Known prime factors (1 factor, 88.0 bits, 0.00346492% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25401133122341131448367217059248792788.01361460673825305551703
19 × 5903 × 547987854750979
2020-07-09590354798785475097932,813,7043,002,7155,608,235

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.236%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.755%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.366%
2011-01-07T22:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.530%
2011-04-05T19:27:00James HeinrichWHS3000008000000---0.072--3.958%
2018-08-11T22:21:47Jocelyn Larouchelow 4M60000060000006---0.090--4.048%
2018-08-30T20:06:57mikrMSI300000013500000012---1.025--8.262%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-02-04T06:24:00Sturle Sundeczerny.ifi260261--0.060--
2012-06-15T09:42:00Sebastian HornbostelManual testing261262--0.121--
2013-01-23T08:30:00dbaughManual testing262263--0.386--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.773--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.471--
2015-11-08T21:03:13ramgeisManual testing265266--2.942--
2017-08-08T13:42:10Gordon SpenceManual testing266267--5.884--
2019-04-29T13:20:21TJAOIManual testing267268--11.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.147 GHz-days
Estimated T-Level:2.250
DigitsB1CurvesCompleteFacMiss
201100045 / 1000.45063.619%
255000045 / 2800.16185.129%

New Calculation Method

Total ECM effort:4.147 GHz-days
Estimated T-Level:2.250
DigitsB1CompleteFacMiss
20110001.45223.419%
25500000.13187.705%
302500000.00899.195%


ECM Summary

B1B2factorcurvesGHz-days
500005000000433.963
50000500000020.184


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15T00:00:00ANONYMOUSv4_computers8659E306099B6F790.176
2018-06-09T17:56:46kkmrkkblmbrbkold8659E306099B6F790.176


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-10T12:53:37mnd9mnd
312234113144836721705924879
35CCE63B111F69D3no
2020-07-10T17:10:38Yuji HASEGAWAvj20a
312234113144836721705924879
35CCE63B111F69D3no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-10T17:10:38+00:00