is 2 31018147 - 1
has 9337393 decimal digits
takes 34.142 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-LAEED8418285E5A7Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27230.831465.2778%385000106837501.51003.9859%32.341466.6618%1.3840%
PrimeNet2670.958062.6866%14000050000000.64604.9825%1.604064.5457%1.8591%
GPU7227115.412964.7887%22000065000000.89723.6889%16.310166.0876%1.2989%
Difference+1+15.4186+0.4890%+165000+4183750+0.6128+0.2970%+16.0314+0.5741%+0.5741%

Known prime factors (1 factor, 73.1 bits, 0.00023562% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
31018147100175040231509336087292373.085161478118327812
22 × 3 × 11 × 13 × 9001 × 10454557
2021-09-1190011045455763.4310.92271.6979

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-02-01T00:00:00jbarchukv4_computers38500010683750---1.510--3.986%
2009-01-13T18:14:00jbarchukv4_computers38500010683750---1.510--3.986%
2009-01-14T00:00:00jbarchukv4_computers38500010683750---1.510--3.986%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-11T12:13:35ATH5960X3000001230000027P-12373.0851.657


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--
2005-10-04T00:00:00TheJudgerv4_computers?267--0.482--
2006-07-10T00:00:00ANONYMOUSv4_computers?268--0.964--
2012-05-08T08:41:00bcp19Manual testing268269--1.927--
2013-01-26T11:05:00ChuckManual testing269270--3.855--
2018-05-27T22:15:30ramgeisManual testing270271--7.709--
2019-06-21T03:18:23LaurVManual testing271272--15.42--


ECM factoring results:
Exponent "31018147" not found


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-03-14T00:00:00jbarchukv4_computers43B061A023DA68__34.14
2006-10-24T00:00:00ANONYMOUSv4_computersAEED8418285E5A7F34.14
2009-01-14T00:00:00jbarchukv4_computers43B061A023DA68__34.14
2013-02-19T14:49:00ANONYMOUSv4_computersAEED8418285E5A7F34.14


PRP results:
Exponent "31018147" not found


P-1 factor-bounds graph:
B1 = 300000, B2 = 12300000 (P-1 stage 2)
B1 = 385000, B2 = 10683750 (P-1 stage 2)
B1 = 385000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
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TF factor-bounds graph:
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269
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259
256
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2100
Last modified: 2021-09-11T12:13:35+00:00