is 2 234798731 - 1
has 70681461 decimal digits
takes 2,321.899 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2670.126658.2090%----0.126658.2090%0.0000%
PrimeNet27532.589262.6667%9000005500000055.16915.6895%87.758364.7908%2.1241%
GPU72279521.438964.5570%14000005500000061.94804.1848%583.386966.0402%1.4832%
Difference-12-521.3123-6.3480%-1400000-55000000-61.9480-4.1848%-583.2603-7.8312%-7.8312%

Known prime factors (3 factors, 168.3 bits, 0.00007169% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2347987311282001071271236.900273
3 × 7 × 13
2007-12-297134.129e-110.00010.0002
234798731181438992787781591512063.97638637132325
52 × 11 × 113 × 173 × 7187
2017-06-2017371870.01230.00800.0105
2347987312008142422470914169292167.444427630595344
24 × 397 × 67322197
2022-08-05397673221970.244052.59998.230

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
234798731232604983124085804082605536917731100.876
2347987312574440736870444885446002135298332104.344
234798731364355338507538449747378506647885766727940131.421
23479873146710393428960777554685430639676236962575312259743
3
51168.320
P-1 results:
No P-1 results for M234798731


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2017-06-20T15:12:13TJAOIManual testing263264*63.976200.0054,7620.011
2022-08-05T09:30:49TJAOIManual testing267268*67.444210.1174,7620.241


ECM factoring results:
No ECM results for M234798731


Lucas-Lehmer results:
No L-L results for M234798731


PRP results:
No PRP results for M234798731


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
268
267
264
230
240
250
260
270
280
290
2100
Last modified: 2022-08-05T09:30:49+00:00