is 2 112084657 - 1
has 33740844 decimal digits
takes 491.927 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
Actual277273.080864.9351%82400024205335088.88345.4247%361.964266.8372%1.9022%
PrimeNet2728.532262.5000%4500002400000011.02915.5196%19.561364.5699%2.0699%
GPU72276136.539664.4737%7000002600000013.22684.0570%149.766465.9150%1.4413%
Difference+1+136.5412+0.4614%+124000+216053350+75.6566+1.3676%+212.1978+0.9222%+0.4608%

Known prime factors (2 factors, 238.6 bits, 0.00021285% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1120846574089425963933989830904012478.4361824257696543600
24 × 52 × 41 × 2161 × 51473959
2022-04-192161514739591,002.517.86033.334
112084657160034678241322583269189869710397335325606749952149160.1317139009143835029234607457009499406119680
28 × 3 × 5 × 7 × 29 × 73 × 89 × 769 × 27917 × 36191 × 241793 × 821099 × 9138247
2022-04-1982109991382471.614e+98.109110.635

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
11208465765444996832988651354864499916997567327626979255227
9484514616145167197921
72238.567
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-04-19T08:00:33Jan S.SATURN82400024205335072238.56788.88983.9177.85.425%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-05-04T09:54:00Donna NoblePhenom9550263264--0.018--
2010-09-24T22:12:00bootmeupoldamdxp-m264265--0.033--
2012-05-31T10:48:00omiXorpLLB03-z800-09265266--0.067--
2013-10-07T00:54:00SMoffatManual testing266267--0.133--
2013-10-11T01:39:00SMoffatManual testing267268--0.267--
2014-11-14T06:51:00shaugeManual testing268269--0.533--
2014-11-14T06:51:00shaugeManual testing269270--1.067--
2014-11-14T06:51:00shaugeManual testing270271--2.133--
2019-01-05T12:13:11Niels_Mache_NextcloudManual testing271272--4.267--
2020-04-20T20:44:09SRBaseManual testing272273--8.534--
2020-05-22T06:06:02GROBERTSManual testing273274--17.07--
2020-11-18T15:27:02arpcarManual testing274275--34.14--
2020-12-08T10:27:23arpcarManual testing275276--68.27--
2021-01-06T00:24:25arpcarManual testing276277--136.5--


ECM factoring results:
No ECM results for M112084657


Lucas-Lehmer results:
No L-L results for M112084657


PRP results:
No PRP results for M112084657


P-1 factor-bounds graph:
B1 = 824000, B2 = 242053350 (P-1 stage 2)
B1 = 824000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-19T08:00:46+00:00