is 2 2106353 - 1
has 634076 decimal digits
takes 0.138 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPB32F483C46345B__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26828.297767.6471%25000001250000000.87467.9007%29.172370.2032%2.5561%
PrimeNet2580.018262.0690%90001600000.00162.6793%0.019963.0852%1.0163%
GPU722620.291764.5161%100001400000.00161.4522%0.293365.0314%0.5153%
Difference+6+28.0060+3.1309%+2490000+124860000+0.8730+6.4485%+28.8790+5.1717%+5.1717%

Known prime factors (1 factor, 82.6 bits, 0.00392348% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
210635375473373276252272425389912582.6421791565166813261415
3 × 5 × 23 × 59 × 61 × 1442884832593
2020-07-31611442884832593732,2347,494.713,998

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.224%
2009-08-02T00:38:00harleeP4_260020000260000---0.003--0.877%
2010-12-29T20:12:00Jocelyn LaroucheManual testing3000030000---0.003--0.352%
2011-01-10T23:57:00Jocelyn LaroucheManual testing5000050000---0.005--0.510%
2011-01-24T22:38:00James HeinrichQ66001400003010000---0.028--2.767%
2016-07-17T03:53:37Jocelyn LaroucheManual testing186340602000012---0.048--3.382%
2016-11-08T17:01:21Jocelyn Larouchelow 4M223608223608---0.021--1.241%
2017-05-31T03:38:55Jocelyn Larouchelow 4M37268037268006---0.053--3.362%
2017-06-10T03:57:32Jocelyn Larouchelow 4M44721644721606---0.064--3.583%
2017-07-09T14:53:34mikrMSI250000012500000012---0.875--7.901%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:05Mark RoseManual testing21260--0.073--
2009-01-02T18:15:00Sturle Sundefungo.ifi260261--0.073--
2012-03-29T23:47:00Sebastian HornbostelManual testing261262--0.146--
2013-09-04T10:21:00ramgeisManual testing262263--0.466--
2015-03-15T12:13:00VictordeHollanderManual testing263264--0.932--
2015-03-15T12:13:00VictordeHollanderManual testing264265--1.774--
2015-12-27T16:49:17ramgeisManual testing265266--3.548--
2016-10-01T21:16:26Gordon SpenceManual testing266267--7.095--
2019-05-20T13:24:31TJAOIManual testing267268--14.19--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.364 GHz-days
Estimated T-Level:21.964
DigitsB1CurvesCompleteFacMiss
2011000110 / 1001.10033.103%
2550000110 / 2800.39367.465%

New Calculation Method

Total ECM effort:9.364 GHz-days
Estimated T-Level:21.964
DigitsB1CompleteFacMiss
20110003.5482.877%
25500000.32172.564%
302500000.02098.045%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001099.279
50000500000010.085


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14T22:44:56MadPooManual testingB2B876B9032236__0.138


PRP results:
dateuseridcompidcofactorsres64PRP
2020-07-31T15:04:10ATHec2-PRPCF
7547337327625227242538991
B32F483C46345B__no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 447216, B2 = 4472160 (P-1 stage 2)
B1 = 372680, B2 = 3726800 (P-1 stage 2)
B1 = 186340, B2 = 6020000 (P-1 stage 2)
B1 = 447216 (P-1 stage 1)
B1 = 372680 (P-1 stage 1)
B1 = 140000, B2 = 3010000 (P-1 stage 2)
B1 = 223608 (P-1 stage 1)
B1 = 186340 (P-1 stage 1)
B1 = 140000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 20000, B2 = 260000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-07-31T15:04:10+00:00