is 2 131419931 - 1
has 39561342 decimal digits
takes 697.256 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27429.111863.5135 %127500012750009.80862.4380 %38.920464.4031 %
Target277232.903564.9351 %80000015000000068.69003.9300 %301.593566.3131 %
Difference-3-203.7918-1.4216 %+475000-148725000-58.8813-1.4919 %-262.6731-1.9100 %

Known prime factors (1 factor, 84.6 bits, 0.00006434% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
131419931283605076392233405755679592684.552107900329209666609
3 × 7 × 112 × 19 × 1453 × 23269 × 66103
2021-07-17232696610329,8120.19700.3643

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-17yphysicsManual testing1275000127500012684.5529.811.766%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-06-02sasaki3mate242632640.015
2010-11-15Antonvoltar2642650.028
2012-09-17VictordeHollanderManual testing2652680.398
2012-09-17VictordeHollanderManual testing2682690.455
2012-12-31VictordeHollanderManual testing2692700.910
2016-05-22taffaManual testing2702711.820
2016-05-22taffaManual testing2712723.639
2016-05-22taffaManual testing2722737.278
2016-05-22taffaManual testing27327414.56


ECM factoring results:
No ECM results for M131419931


Lucas-Lehmer results:
No L-L results for M131419931


PRP results:
No PRP results for M131419931


CERT results:
No CERT results for M131419931


P-1 factor-bounds graph:
B1 = 1275000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
TF factor-bounds graph:
274
273
272
271
270
269
268
265
264
this exponent TF target: 77
TF double-checked to: 67
250
260
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Last modified: 2024-03-13T02:15:48+00:00