is 2 113731487 - 1
has 34236590 decimal digits
takes 499.155 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
Actual278538.254765.3846%4000000400000025.45562.3954%563.710366.2138%
Target276134.562564.4737%7000002600000013.22684.0642%147.789365.9175%
Difference+2+403.6922+0.9109%+3300000-22000000+12.2288-1.6688%+415.9210+0.2963%

Known prime factors (1 factor, 108.4 bits, 0.00009528% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11373148741829797377445391456853651523998333108.3661838971707872130057389193
34 × 47 × 211 × 769 × 8513 × 23021 × 15190657
2022-03-1923021151906571.499e+95.40559.837

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-16Paul UnderwoodManual testing4000000400000033108.36625.46998.350.912.395%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-06-271997rj7compa263264--0.017--
2010-09-30oodairaLinux01264265--0.033--
2012-06-12carlos56amd600265266--0.066--
2014-11-18GrunwalderGIMPNumCrunch1266267--0.131--
2015-02-23g0bManual testing267268--0.263--
2015-02-26pussijussiJUHA3268269--0.526--
2015-03-13arnaudsgp-11-120269270--1.051--
2015-03-18TBM Primetbmprime270271--2.103--
2018-12-25Niels_Mache_NextcloudManual testing271272--4.205--
2020-04-22SRBaseManual testing272273--8.410--
2020-07-29Daniil TsarkovManual testing273274--16.82--
2021-03-13yoyorocks1Manual testing274275--33.64--
2021-03-14ZenzomaManual testing275276--67.28--
2021-03-31arpcarManual testing276277--134.6--
2021-04-19arpcarManual testing277278--269.1--


ECM factoring results:
No ECM results for M113731487


Lucas-Lehmer results:
No L-L results for M113731487


PRP results:
No PRP results for M113731487


P-1 factor-bounds graph:
B1 = 4000000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
278
277
276
275
274
273
272
271
270
269
268
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67.7
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2100
2110
Last modified: 2023-03-25T13:08:14+00:00