is 2 6948679 - 1
has 2091761 decimal digits
takes 1.515 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA12394E48BD9E72Bdouble-checked
PRP10614ECD2466BF7DPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272137.628168.0556%40000004568186709.06528.0813%146.693370.6371%2.5815%
PrimeNet2630.229763.4921%280007000000.02043.1622%0.250164.6465%1.1544%
GPU722674.276265.6716%450009000000.02902.2378%4.305266.4398%0.7682%
Difference+5+133.3519+2.3839%+3955000+455918670+9.0362+5.8435%+142.3881+4.1972%+1.8133%

Known prime factors (1 factor, 81.1 bits, 0.00116653% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
694867925176650941157000266437112581.058181161418890964745
5 × 617 × 154277 × 380635561
2021-12-03154277380635561116,3206.603112.247

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00ANONYMOUSv4_computers3000030000---0.009--0.234%
2011-09-04T13:04:00Carsten Kossendeymother44500013350000---0.363--3.514%
2021-11-07T02:25:56Seth_TrManual testing20000005800000012---1.597--5.520%
2021-12-03T09:31:45Seth_TrManual testing40000004568186702581.0589.0653.03018.138.081%


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--0.283--
2014-02-16T12:45:00lycornManual testing264265--0.538--
2015-06-26T13:39:00VictordeHollanderManual testing265266--1.075--
2016-04-05T22:46:26Gordon SpenceManual testing266267--2.151--
2018-02-26T00:48:47-Anonymous-Manual testing267268--4.302--
2020-04-10T07:57:04TJAOIManual testing268269--8.603--
2021-07-31T07:00:35takahashiManual testing269270--17.21--
2021-08-11T16:39:04SRBaseManual testing270271--34.41--
2021-09-25T07:09:34SRBaseManual testing271272--68.83--


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)
1999-03-15T00:00:00Stephen Woodv4_computersE6DEE0BC0131A0__1.515
1999-09-22T00:00:00ANONYMOUSv4_computersA12394E48BD9E72B1.515
2002-05-11T00:00:00ANONYMOUSv4_computersA12394E48BD9E72B1.515


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-09T08:37:28LaurVZero818
2517665094115700026643711
10614ECD2466BF7Dno


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: 2021-12-09T08:37:28+00:00