is 2 112623167 - 1
has 33902952 decimal digits
takes 494.291 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
Actual277271.775064.9351%5120005120003.25831.1549%275.033365.3400%0.4050%
PrimeNet2728.491462.5000%4500002400000011.02915.5228%19.520564.5710%2.0710%
GPU72276135.886764.4737%7000002600000013.22684.0594%149.113565.9158%1.4421%
Difference+1+135.8883+0.4614%-188000-25488000-9.9685-2.9045%+125.9198-0.5758%-0.5758%

Known prime factors (1 factor, 79.0 bits, 0.00007016% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1126231676119046851214645499656972479.0182716602193940544
26 × 34 × 7 × 13 × 19 × 37 × 167 × 181 × 271
2022-03-261812711,699.80.00120.0023

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-03-26T07:38:41Ryan PropperManual testing5120005120002479.0183.258988.66.5171.155%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-05T04:49:00subgeniusslacker263264--0.017--
2010-09-26T06:49:00vapaddydebian264265--0.033--
2012-06-04T11:02:00RichardUNKNOWN265266--0.066--
2013-10-14T10:54:00PascalBieriManual testing266267--0.133--
2015-02-18T18:18:00La GüiraManual testing267268--0.265--
2015-02-18T18:18:00La GüiraManual testing268269--0.531--
2015-02-18T18:18:00La GüiraManual testing269270--1.062--
2015-08-22T01:13:00SMoffatManual testing270271--2.123--
2018-12-25T19:34:15Niels_Mache_NextcloudManual testing271272--4.247--
2020-04-21T09:56:18SRBaseManual testing272273--8.493--
2020-06-20T14:44:45La GüiraManual testing273274--16.99--
2020-11-27T13:06:24arpcarManual testing274275--33.97--
2020-12-01T01:26:50arpcarManual testing275276--67.94--
2020-12-29T00:25:19arpcarManual testing276277--135.9--


ECM factoring results:
No ECM results for M112623167


Lucas-Lehmer results:
No L-L results for M112623167


PRP results:
No PRP results for M112623167


P-1 factor-bounds graph:
B1 = 512000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
TF factor-bounds graph:
277
276
275
274
273
272
271
270
269
268
267
266
265
264
250
260
270
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2100
Last modified: 2022-03-26T07:38:41+00:00