is 2 6950081 - 1
has 2092183 decimal digits
takes 1.516 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF80B6D581915FC3Cdouble-checked
PRP919536B94586B9C2PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.600468.0556%40000004568186709.06528.0815%146.665570.6371%2.5816%
PrimeNet2630.229663.4921%280007000000.02043.1623%0.250164.6465%1.1545%
GPU722674.275365.6716%450009000000.02902.2379%4.304366.4399%0.7682%
Difference+5+133.3250+2.3839%+3955000+455918670+9.0362+5.8436%+142.3612+4.1973%+1.8134%

Known prime factors (1 factor, 84.9 bits, 0.00122228% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6950081373622207691597792046350312684.9502687898225154482315
32 × 5 × 101 × 109 × 55813 × 97211371
2021-12-035581397211371748,5701.69133.1277

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16T00:00:00ANONYMOUSv4_computers3000030000---0.009--0.234%
2011-09-04T13:02:00Carsten Kossendeymother44500013350000---0.363--3.514%
2021-11-07T02:26:01Seth_TrManual testing20000005800000012---1.597--5.521%
2021-12-03T13:11:31Seth_TrManual testing40000004568186702684.9509.0653.03118.138.081%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21T00:00:00ANONYMOUSv4_computers21262--0.088--
2005-03-20T00:00:00ANONYMOUSv4_computers21263--0.230--
2014-02-09T10:12:00NesowaManual testing263264--0.282--
2014-02-16T01:22:00lycornManual testing264265--0.538--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.075--
2016-04-05T22:46:26Gordon SpenceManual testing266267--2.150--
2018-02-27T00:21:56-Anonymous-Manual testing267268--4.301--
2020-05-01T08:51:04TJAOIManual testing268269--8.602--
2021-07-31T07:00:39takahashiManual testing269270--17.20--
2021-08-11T16:33:46SRBaseManual testing270271--34.41--
2021-09-30T16:43:54SRBaseManual testing271272--68.81--


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)
1999-03-26T00:00:00ANONYMOUSv4_computersAC8BFA26F97460__1.516
1999-11-17T00:00:00ANONYMOUSv4_computersF80B6D581915FC3C1.516
2001-11-10T00:00:00ANONYMOUSv4_computersF80B6D581915FC3C1.516


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-11T00:58:11GANLMS-11
37362220769159779204635031
919536B94586B9C2no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456818670 (P-1 stage 2)
B1 = 2000000, B2 = 58000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 445000, B2 = 13350000 (P-1 stage 2)
B1 = 445000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-11T00:58:11+00:00