is 2 113 - 1
has 35 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 PRP tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPE7EC6DE6DC3B14E8PRP-tested
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.020784.0909%500800000.00000.2864%0.020784.1365%
Difference-44-0.0207-84.0909%-500-800000.0000-0.2864%-0.0207-84.1365%

Known prime factors (5 factors, 113.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1133391411.72715
3 × 5		-352.420e-124.583e-119.001e-11
11323279514.507103
103		-11031.974e-119.666e-111.524e-10
11365993516.010292
22 × 73		-4738.214e-111.144e-101.200e-10
1131868569720.8348268
22 × 3 × 13 × 53		-13532.212e-92.238e-103.900e-10
113
hide decimal representation
1066818132868207
1649.922

11 Composite Factors:
P-1 results:
No P-1 results for M113


Trial Factoring results:
No TF results for M113


ECM factoring results:
No ECM results for M113


Lucas-Lehmer results:
No L-L results for M113


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-24Luke_Richardswork-laptopE7EC6DE6DC3B14E8no
2018-01-24-p95holder- @bopoh13Lucius_Yorkfield
3391
23279
65993
1868569
PRP


P-1 factor-bounds graph:
100
101
102
100
101
102
103
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.9
250
Last modified: 2023-07-11T14:45:05+00:00