is 2 112865993 - 1
has 33976050 decimal digits
takes 495.356 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
Actual277271.190364.9351%4500000450000028.63752.7460%299.827865.8980%
Target276135.594464.4737%7000002600000013.22684.0604%148.821265.9162%
Difference+1+135.5959+0.4614%+3800000-21500000+15.4107-1.3144%+151.0067-0.0182%

Known prime factors (1 factor, 82.2 bits, 0.00007286% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11286599356969840025786387216898092582.23625237823418514728
23 × 32 × 7 × 29 × 17491 × 98720813		2021-11-23174919872081316,09434.33463.930

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-11-23Ernst W. MayerManual testing450000045000002582.23628.64990.757.282.746%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-05subgeniusslacker263264--0.017--
2010-09-27sasaki3mate_ma1264265--0.033--
2012-06-10Richard8F02265266--0.066--
2013-10-12Cow_tippingManual testing266267--0.132--
2015-02-07C.D.B.i7-2600K_4500MHz267268--0.265--
2015-02-13David Barleyscrappy268269--0.530--
2015-02-19ANONYMOUS269270--1.059--
2015-02-23ANONYMOUS270271--2.119--
2019-01-08Niels_Mache_NextcloudManual testing271272--4.237--
2020-04-04tscManual testing272273--8.475--
2020-07-26tscManual testing273274--16.95--
2020-11-25arpcarManual testing274275--33.90--
2020-11-29arpcarManual testing275276--67.80--
2020-12-16arpcarManual testing276277--135.6--


ECM factoring results:
No ECM results for M112865993


Lucas-Lehmer results:
No L-L results for M112865993


PRP results:
No PRP results for M112865993


P-1 factor-bounds graph:
B1 = 4500000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
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
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270
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290
Last modified: 2023-03-25T13:08:14+00:00