is 2 2631649 - 1
has 792206 decimal digits
takes 0.203 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L986B88FF491F5B71double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27090.798868.5714%2000000600000000.57795.9508%91.376770.4417%1.8702%
PrimeNet2590.029262.7119%110002000000.00242.7009%0.031663.7190%1.0071%
GPU722630.606565.0794%130002000000.00261.5726%0.609165.6285%0.5492%
Difference+7+90.1924+3.4921%+1987000+59800000+0.5753+4.3782%+90.7676+4.8131%+1.3211%

Known prime factors (1 factor, 67.3 bits, 0.00255834% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26316491850420735357125249032167.32635157058090899
3 × 226367 × 51769999
2014-04-102263675176999917.2870.33990.5900

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.154%
2009-06-20T14:37:00harleeP4_260030000420000---0.006--0.902%
2011-01-17T07:01:00James Heinrichi7-9201800004275000---0.045--2.581%
2019-07-04T12:46:42alpertronManual testing20000006000000012-
skipped known factor: 185042073535712524903
--0.578--5.951%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.029--
2022-03-11T04:28:50LordJuliusManual testing21260--0.058--
2009-01-31T01:32:00Sturle Sundefungo.ifi260261--0.058--
2012-06-06T20:49:00lycornManual testing261264--1.236--
2013-11-15T13:12:00David CampeauManual testing264265--1.420--
2014-03-08T13:54:00Never Odd Or EvenManual testing265266--2.840--
2014-03-08T13:54:00Never Odd Or EvenManual testing266267--5.679--
2014-03-08T13:54:00Never Odd Or EvenManual testing267268--11.36--
2014-04-10T17:01:00Never Odd Or EvenManual testing26726867.326215.9960.41312.18
2014-03-08T13:54:00Never Odd Or EvenManual testing268269--22.72--
2014-03-08T13:54:00Never Odd Or EvenManual testing269270--45.43--


ECM factoring results:
Total ECM effort:0.929 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000090.929


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers986B88FF491F5B710.203


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-18T19:13:01Oliver KruseGTX-3
185042073535712524903
75CC6CA8EC6E6D__no
2017-12-02T22:35:45kkmrkkblmbrbkc4.xlarge
185042073535712524903
75CC6CA8EC6E6D__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 180000, B2 = 4275000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
B1 = 30000, B2 = 420000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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108
TF factor-bounds graph:
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267
266
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2100
Last modified: 2022-03-11T04:28:50+00:00