is 2 31024991 - 1
has 9339453 decimal digits
takes 34.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5678BBCB4178932Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.824665.2778%380000102600001.46563.9472%32.290266.6483%1.3706%
PrimeNet2670.957762.6866%14000050000000.64604.9826%1.603864.5458%1.8592%
GPU7227115.409564.7887%22000065000000.89723.6890%16.306766.0877%1.2989%
Difference+1+15.4152+0.4890%+160000+3760000+0.5684+0.2582%+15.9836+0.5606%+0.5606%

Known prime factors (1 factor, 75.7 bits, 0.00024410% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31024991627052583063285647132492375.7311010560459249264
24 × 7 × 11 × 1187 × 691036321
2021-09-231187691036321378.1860.091112.23

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-01T00:00:00Sturle Sundev4_computers38000010260000---1.466--3.947%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-23T15:31:55ATHec2-P_13000001080000027P+12375.7311.675


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers21256--0.000--
2003-06-30T00:00:00ANONYMOUSv4_computers21259--0.002--
2005-09-03T00:00:00Remote009v4_computers21267--0.958--
2011-05-24T20:23:00UngelovendeManual testing267268--0.963--
2012-05-08T12:43:00bcp19Manual testing268269--1.927--
2013-03-27T08:46:00bcp19Manual testing269270--3.854--
2018-11-19T12:11:00ramgeisManual testing270271--7.708--
2019-06-24T22:18:08LaurVManual testing271272--15.42--


ECM factoring results:
No ECM results for M31024991


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2009-05-11T10:06:00DocPLGibson5678BBCB4178932A34.15
2013-10-15T04:30:00GrunwalderGIMPcompute-0-45678BBCB4178932A34.15


PRP results:
No PRP results for M31024991


P-1 factor-bounds graph:
B1 = 380000, B2 = 10260000 (P-1 stage 2)
B1 = 300000, B2 = 10800000 (P+1 stage 2)
B1 = 380000 (P-1 stage 1)
B1 = 300000 (P+1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-09-23T15:31:55+00:00