is 2 112357477 - 1
has 33822971 decimal digits
takes 493.124 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
Actual277272.417764.9351 %511000188710009.61783.3151 %282.035566.0975 %
Target276136.208164.4737 %70000013000000049.28594.0582 %185.494065.9154 %
Difference+1+136.2096+0.4614 %-189000-111129000-39.6681-0.7431 %+96.5415+0.1821 %

Known prime factors (1 factor, 105.9 bits, 0.00009428% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1123574777755820094767082790327501139454332105.935345140363679004771098923
13 × 59 × 89 × 137 × 15749 × 413477 × 5667421
2022-04-2341347756674211.353e+94.45305.3552

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-04-23Ryan PropperManual testing51100018871000232105.9359.623.660%


Trial Factoring results:
575859606162636465666768697071727374757677
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2010-05-06Richard2632640.017
2010-09-26Richardsvn_022642650.033
2012-08-03Richard2652660.067
2013-10-12Cow_tippingManual testing2662670.133
2014-11-20La GüiraManual testing2672701.862
2015-02-09yangyangManual testing2702712.128
2018-12-31Niels_Mache_NextcloudManual testing2712724.257
2020-04-21SRBaseManual testing2722738.513
2020-09-27el groccoGPU72_TF27327417.03
2020-11-19arpcarManual testing27427534.05
2020-12-06arpcarManual testing27527668.10
2021-01-01arpcarManual testing276277136.2


ECM factoring results:
No ECM results for M112357477


Lucas-Lehmer results:
No L-L results for M112357477


PRP results:
No PRP results for M112357477


CERT results:
No CERT results for M112357477


P-1 factor-bounds graph:
B1 = 511000, B2 = 18871000 (P-1 stage 2)
B1 = 511000 (P-1 stage 1)
104
105
106
104
105
106
107
108
TF factor-bounds graph:
277
276
275
274
273
272
271
270
267
266
265
264
this exponent TF target: 76
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00