is 2 31010867 - 1
has 9335202 decimal digits
takes 34.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L4A933410CD07277Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.838765.2778%37000076775001.22593.7077%32.064666.5652%1.2874%
PrimeNet2670.958262.6866%14000050000000.64604.9823%1.604264.5456%1.8591%
GPU7227115.416564.7887%22000065000000.89723.6888%16.313766.0876%1.2989%
Difference+1+15.4222+0.4890%+150000+1177500+0.3287+0.0190%+15.7509+0.4776%+0.4776%

Known prime factors (1 factor, 85.2 bits, 0.00027487% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31010867457196523938960689530862872685.241737155339673284029
3 × 141917 × 238267 × 7266737
2021-09-122382677266737292,5480.99141.1802

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-01T00:00:00ANONYMOUSv4_computers3700007677500---1.226--3.708%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-12T20:33:27ATHec2-P_13000001080000027P-12685.2411.675


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-08-31T00:00:00Net_Forcev4_computers?256--0.000--
2003-06-30T00:00:00ANONYMOUSv4_computers?259--0.001--
2005-09-03T00:00:00Team Prime Ribv4_computers?267--0.482--
2011-05-22T16:07:00UngelovendeManual testing267268--0.964--
2012-05-03T06:42:00XyzzyManual testing268269--1.928--
2013-04-01T03:36:00GrunwalderGIMPManual testing269270--3.856--
2019-01-20T23:34:08ramgeisManual testing270271--7.711--
2019-06-20T06:18:22LaurVManual testing271272--15.42--


ECM factoring results:
Exponent "31010867" not found


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-05-29T00:00:00ANONYMOUSv4_computersEE919AA833FD1E__34.13
2009-05-06T11:44:00curtisccsc107-03L4A933410CD07277E34.13
2013-12-26T12:49:00ChuckMaingear_i7-9704A933410CD07277E34.13


PRP results:
Exponent "31010867" not found


P-1 factor-bounds graph:
B1 = 300000, B2 = 10800000 (P-1 stage 2)
B1 = 370000, B2 = 7677500 (P-1 stage 2)
B1 = 370000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
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108
TF factor-bounds graph:
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2100
Last modified: 2021-09-12T20:33:27+00:00