is 2 112508281 - 1
has 33868368 decimal digits
takes 493.786 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
Actual277272.052664.9351%4500000450000028.63752.7449%300.690165.8976%0.9625%
PrimeNet2728.500162.5000%4500002400000011.02915.5221%19.529264.5708%2.0708%
GPU72276136.025564.4737%7000002600000013.22684.0589%149.252365.9157%1.4420%
Difference+1+136.0271+0.4614%+3800000-21500000+15.4107-1.3139%+151.4378-0.0181%-0.0181%

Known prime factors (1 factor, 82.3 bits, 0.00007312% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11250828158240433647804147726161592582.26825882731977659559
331 × 1607 × 4729 × 10289563
2021-10-3047291028956311,7573.59616.6633

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-10-30T22:57:43Paul UnderwoodManual testing450000045000002582.26828.64987.657.282.745%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-09T14:58:00RichardUNKNOWN263264--0.017--
2010-09-26T17:26:00Donna NoblePH2-940-v3-MVB264265--0.033--
2012-05-31T19:57:00HardyP Germanyws-HP-Z800_3.6GHz265266--0.066--
2013-10-06T20:13:00PascalBieriManual testing266267--0.133--
2013-10-14T10:55:00PascalBieriManual testing267268--0.266--
2014-11-20T23:12:00La GüiraManual testing268269--0.531--
2014-11-20T23:12:00La GüiraManual testing269270--1.063--
2015-02-11T12:50:00Preben SManual testing270271--2.125--
2018-12-28T18:00:57Niels_Mache_NextcloudManual testing271272--4.251--
2020-04-22T05:21:38SRBaseManual testing272273--8.502--
2020-10-01T15:23:01Architects CubedGPU72_TF273274--17.00--
2020-12-01T01:26:28arpcarManual testing274275--34.01--
2020-12-07T14:58:54arpcarManual testing275276--68.01--
2021-05-07T08:02:49Johan ViljoenManual testing276277--136.0--


ECM factoring results:
No ECM results for M112508281


Lucas-Lehmer results:
No L-L results for M112508281


PRP results:
No PRP results for M112508281


P-1 factor-bounds graph:
B1 = 4500000 (P-1 stage 1)
102
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106
107
102
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108
TF factor-bounds graph:
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275
274
273
272
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Last modified: 2021-10-30T22:57:43+00:00