is 2 6900977 - 1
has 2077402 decimal digits
takes 1.505 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L65B91F8C2AA9AF67double-checked
PRP2A0AA55CF08DC86FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.579568.0556%600000120000000.38613.5802%138.965569.1992%1.1437%
PrimeNet2630.231363.4921%280007000000.02043.1586%0.251764.6452%1.1531%
GPU722674.305865.6716%450009000000.02902.2353%4.334766.4390%0.7673%
Difference+5+134.2737+2.3839%+555000+11100000+0.3571+1.3449%+134.6308+2.7603%+0.3763%

Known prime factors (1 factor, 80.0 bits, 0.00115859% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
690097711708465151175722815418712579.95484831938660103655
5 × 6577 × 690341 × 3736783
2021-11-19690341373678334,0810.27080.4442

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-12-08T00:00:00AZMangov4_computers35000341250---0.016--0.798%
2011-11-19T03:58:00James Heinrichi7-9201300002665000---0.085--1.985%
2020-01-06T21:47:04takahashivaio6000001200000012---0.386--3.580%
2021-11-19T10:10:45Seth_TrManual testing400000040000002579.9541.2653.0102.5293.043%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.089--
2005-01-20T00:00:00ANONYMOUSv4_computers21263--0.231--
2014-02-09T10:08:00NesowaManual testing263264--0.284--
2014-02-17T23:33:00lycornManual testing264265--0.541--
2015-06-21T19:55:00VictordeHollanderManual testing265266--1.083--
2016-03-31T14:38:48Gordon SpenceManual testing266267--2.166--
2018-02-27T00:21:26-Anonymous-Manual testing267268--4.331--
2019-11-25T15:23:49mnd9Manual testing268269--8.663--
2020-12-20T22:22:43takahashiManual testing269270--17.33--
2021-08-10T15:28:31SRBaseManual testing270271--34.65--
2021-09-25T07:16:48SRBaseManual testing271272--69.30--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers65B91F8C2AA9AF671.505
2002-01-02T00:00:00AZMangov4_computers65B91F8C2AA9AF671.505


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-01T11:07:57MartimPaivaLegionPinto
1170846515117572281541871
2A0AA55CF08DC86Fno


P-1 factor-bounds graph:
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 130000, B2 = 2665000 (P-1 stage 2)
B1 = 130000 (P-1 stage 1)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
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108
TF factor-bounds graph:
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Last modified: 2021-12-01T11:07:57+00:00