is 2 239 - 1
has 72 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
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPBAA370A5D326CA9FPRP-tested
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actualunknown----0.00000.0000%
Target2440.009881.8182%500100000.00000.3725%0.009881.8859%
Difference-44-0.0098-81.8182%-500-100000.0000-0.3725%-0.0098-81.8859%

Known prime factors (6 factors, 239.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23947938.9041
1		-111.416e-131.474e-113.000e-11
2391913410.9024
22		-445.702e-135.897e-111.200e-10
2395737412.48612
22 × 3		-442.288e-125.897e-111.200e-10
239176383617.428369
32 × 41		-9417.889e-111.584e-102.700e-10
239134000609926.998280336
24 × 7 × 2503		-1625036.280e-82.233e-93.753e-9
239
hide decimal representation
7110008717824458123105014279253754096863768062879
49162.282

26 Composite Factors:
P-1 results:
No P-1 results for M239


Trial Factoring results:
No TF results for M239


ECM factoring results:
No ECM results for M239


Lucas-Lehmer results:
No L-L results for M239


PRP results:
dateuseridcompidcofactorsres64PRP
2018-01-24Luke_Richardswork-laptopBAA370A5D326CA9Fno
2018-01-24-p95holder- @bopoh13Lucius_Yorkfield
479
1913
5737
176383
134000609
PRP


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67.8
250
Last modified: 2023-04-26T21:34:10+00:00