is 2 31028317 - 1
has 9340455 decimal digits
takes 34.153 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF96679FCE63B5451double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.821365.2778%16500031350000.52162.6986%31.342966.2148%0.9370%
PrimeNet2670.957662.6866%14000050000000.64604.9827%1.603764.5458%1.8592%
GPU7227115.407864.7887%22000065000000.89723.6891%16.305066.0877%1.2990%
Difference+1+15.4135+0.4890%-55000-3365000-0.3756-0.9904%+15.0379+0.1271%+0.1271%

Known prime factors (1 factor, 75.1 bits, 0.00024197% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31028317398929902199144081793112375.079642848115479715
32 × 5 × 139 × 13381 × 7680553
2021-09-21133817680553295.450.68811.2474

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-05-29T22:39:00Carsten Kossendeyleela1650003135000---0.522--2.699%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-21T18:33:42ATH5960X3000001230000027P-12375.0791.657


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers21256--0.000--
2005-09-03T00:00:00Team Prime Ribv4_computers21268--1.921--
2012-04-17T21:04:00Stef42Manual testing268269--1.927--
2013-01-26T19:39:00ChuckManual testing269270--3.853--
2018-12-24T16:29:48ramgeisManual testing270271--7.707--
2019-06-23T20:18:07LaurVManual testing271272--15.41--


ECM factoring results:
No ECM results for M31028317


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-07-10T00:00:00Grey Smithv4_computersF96679FCE63B545134.15
2013-04-12T10:27:00HardyP Germanyws-HP-Z800_3.6GHzF96679FCE63B545134.15


PRP results:
No PRP results for M31028317


P-1 factor-bounds graph:
B1 = 300000, B2 = 12300000 (P-1 stage 2)
B1 = 165000, B2 = 3135000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 165000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2021-09-21T18:33:42+00:00