is 2 113728117 - 1
has 34235575 decimal digits
takes 499.140 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
Actual2791,076.542965.8228%4000000400000025.45562.1693%1,101.998466.5642%
Target276134.566564.4737%7000002600000013.22684.0641%147.793365.9175%
Difference+3+941.9764+1.3491%+3300000-22000000+12.2288-1.8948%+954.2051+0.6467%

Known prime factors (1 factor, 80.6 bits, 0.00007083% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11372811717814189893150277832331592580.5597831919829091287
3 × 31 × 773 × 1801 × 60491183		2022-01-081801604911833,340.120.98439.173

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-01-08Ernst W. MayerManual testing400000040000002580.55925.46998.350.912.169%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-06-271997rj7compa263264--0.017--
2010-10-03ANONYMOUSnb264265--0.033--
2012-06-08Donna NobleOpt6128x4x4265266--0.066--
2014-11-14j-lu266267--0.131--
2015-02-23g0bManual testing267268--0.263--
2015-03-03Per Jessenbeaufort2268269--0.526--
2015-03-11Nickwork2269270--1.051--
2015-03-16ANONYMOUS270271--2.103--
2018-12-25Niels_Mache_NextcloudManual testing271272--4.205--
2020-04-22SRBaseManual testing272273--8.411--
2020-09-12Daniil TsarkovManual testing273274--16.82--
2021-03-18arpcarManual testing274275--33.64--
2021-03-18arpcarManual testing275276--67.28--
2021-03-18arpcarManual testing276277--134.6--
2021-03-18arpcarManual testing277278--269.1--
2021-03-31arpcarManual testing278279--538.3--


ECM factoring results:
No ECM results for M113728117


Lucas-Lehmer results:
No L-L results for M113728117


PRP results:
No PRP results for M113728117


P-1 factor-bounds graph:
B1 = 4000000 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
TF factor-bounds graph:
279
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
250
260
270
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290
Last modified: 2023-03-25T13:08:14+00:00