is 2 6910759 - 1
has 2080346 decimal digits
takes 1.507 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L457B35E7584FE8E5double-checked
PRP99F50755A6063FF3PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272138.383368.0556%40000004143239108.33317.9703%146.716470.6016%2.5461%
PrimeNet2630.230963.4921%280007000000.02043.1593%0.251464.6455%1.1534%
GPU722674.299765.6716%450009000000.02902.2358%4.328666.4392%0.7675%
Difference+5+134.0836+2.3839%+3955000+413423910+8.3042+5.7345%+142.3878+4.1625%+1.7786%

Known prime factors (1 factor, 84.0 bits, 0.00121493% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6910759188253806697912909355186792683.9611362034233127742621
103 × 17749 × 57637 × 12926339
2021-12-015763712926339414,8230.23990.4159

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-24T00:00:001997rj7v4_computers35000341250---0.016--0.798%
2011-11-21T11:40:00James Heinrichi7-9201300002665000---0.085--1.985%
2020-01-09T22:09:34takahashivaio6000001200000012---0.386--3.581%
2021-11-24T03:20:50Seth_TrManual testing400000011000000012---3.091--6.530%
2021-12-01T11:15:07Seth_TrManual testing40000004143239102683.9618.3333.01416.677.970%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-29T00:00:00ANONYMOUSv4_computers21261--0.044--
1998-07-29T00:00:00ANONYMOUSv4_computers21262--0.089--
2005-02-02T00:00:00ANONYMOUSv4_computers21263--0.231--
2014-02-09T10:09:00NesowaManual testing263264--0.284--
2014-02-17T19:28:00lycornManual testing264265--0.541--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.081--
2016-04-01T12:34:44Gordon SpenceManual testing266267--2.163--
2018-02-25T11:47:52-Anonymous-Manual testing267268--4.325--
2019-12-16T13:09:44mnd9Manual testing268269--8.651--
2021-07-14T22:39:25takahashiManual testing269270--17.30--
2021-08-10T15:22:00SRBaseManual testing270271--34.60--
2021-09-26T07:30:50SRBaseManual testing271272--69.20--


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)
1999-08-22T00:00:00carlos56v4_computers457B35E7584FE8E51.507
2001-09-10T00:00:001997rj7v4_computers457B35E7584FE8E51.507


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-08T16:20:47GANLMS-11
18825380669791290935518679
99F50755A6063FF3no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 414323910 (P-1 stage 2)
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
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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TF factor-bounds graph:
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Last modified: 2021-12-08T16:20:47+00:00