is 2 135000193 - 1
has 40639108 decimal digits
takes 751.876 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
Actual27556.680762.6667 %1250000125000010.09462.1834 %66.775363.4818 %
Target277226.726863.6364 %80000015000000072.10653.9426 %298.833365.0700 %
Difference-2-170.0461-0.9697 %+450000-148750000-62.0119-1.7593 %-232.0580-1.5883 %

Known prime factors (1 factor, 88.3 bits, 0.00006542% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1350001933840553600556205546687864012788.3111422425225924012400
24 × 3 × 52 × 17 × 672 × 25867 × 600487
2016-12-0325867600487705,5540.46170.4935

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2015-11-23HBendtzManual testing500020000012--0.1270.224%
2016-12-03James Heinrich3930K1250000125000012788.31110.091.758%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-11-25oilwarzonedotcomdadsmachine2642650.028
2012-10-29subgeniusck-pasqual2652660.055
2015-01-24vwflat4j-laptop2662670.111
2016-01-22DerekManual testing2672680.221
2016-01-22DerekManual testing2682690.443
2016-01-25Adam StinchcombeManual testing2692700.886
2016-02-02guruManual testing2702711.771
2016-02-08guruManual testing2712723.543
2016-10-19James HeinrichManual testing2722737.085
2016-10-19James HeinrichManual testing27327414.17
2016-12-02James HeinrichManual testing27427528.34


ECM factoring results:
No ECM results for M135000193


Lucas-Lehmer results:
No L-L results for M135000193


PRP results:
No PRP results for M135000193


CERT results:
No CERT results for M135000193


P-1 factor-bounds graph:
B1 = 1250000 (P-1 stage 1)
B1 = 5000, B2 = 200000 (P-1 stage 2)
B1 = 5000 (P-1 stage 1)
102
103
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105
106
107
102
103
104
105
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107
TF factor-bounds graph:
275
274
273
272
271
270
269
268
267
266
265
this exponent TF target: 77
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00