is 2 131587319 - 1
has 39611731 decimal digits
takes 698.144 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
Actual27558.150864.0000 %123000012300009.46252.1623 %67.613364.7784 %
Target277232.607364.9351 %80000015000000068.69003.9306 %301.297266.3133 %
Difference-2-174.4565-0.9351 %+430000-148770000-59.2275-1.7683 %-233.6840-1.5349 %

Known prime factors (1 factor, 90.9 bits, 0.00006910% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13158731923476821922487762052756887212890.9238920624761147296440
23 × 5 × 137 × 25759 × 80557 × 784481
2021-03-26805577844811,905,5300.91481.2613

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-03-26yphysicsManual testing1230000123000012890.9239.4621.740%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-06-07Richard2632640.015
2010-11-15oilwarzonedotcomb2bwebserver2642650.028
2012-09-30VictordeHollanderManual testing2652680.398
2012-09-30VictordeHollanderManual testing2682690.454
2013-01-23VictordeHollanderManual testing2692700.909
2015-11-24nate.andersManual testing2702711.817
2016-03-21Ruediger EckhardManual testing2712723.635
2016-03-21Ruediger EckhardManual testing2722737.269
2016-03-21Ruediger EckhardManual testing27327414.54
2016-03-21Ruediger EckhardManual testing27427529.08


ECM factoring results:
No ECM results for M131587319


Lucas-Lehmer results:
No L-L results for M131587319


PRP results:
No PRP results for M131587319


CERT results:
No CERT results for M131587319


P-1 factor-bounds graph:
B1 = 1230000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
TF factor-bounds graph:
275
274
273
272
271
270
269
268
265
264
this exponent TF target: 77
TF double-checked to: 67
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00