is 2 31033421 - 1
has 9341991 decimal digits
takes 34.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LCCCB5937E9D7D04Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2670.957562.6866 %37000076775001.22596.0731 %2.183464.9526 %
Target27115.405364.7887 %220000325000003.15803.6891 %18.563366.0877 %
Difference-4-14.4478-2.1022 %+150000-24822500-1.9321+2.3839%-16.3799-1.1351 %

Known prime factors (1 factor, 67.0 bits, 0.00021605% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
310334211526275029950145889432167.0492459082790051
263 × 9350124677
2011-05-2426393501246771.1266813.041,518.5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2007-02-05ANONYMOUSv4_computers3700007677500--1.2264.102%
2011-05-24UngelovendeManual testing2167.0491.3730.000%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-08-31Net_Forcev4_computers212560.000
2005-12-19sannerud.comv4_computers212670.482


ECM factoring results:
No ECM results for M31033421


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2007-03-04ANONYMOUSv4_computersCCCB5937E9D7D04A34.16


PRP results:
No PRP results for M31033421


CERT results:
No CERT results for M31033421


P-1 factor-bounds graph:
B1 = 370000, B2 = 7677500 (P-1 stage 2)
B1 = 370000 (P-1 stage 1)
101
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103
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105
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101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
256
this exponent TF target: 71
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00