is 2 2732357 - 1
has 822522 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L933F59AD52C83CFAdouble-checked
PRP56B947DAB0BAFC__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.814567.6471%1000000300000000.28895.9161%22.103469.5611%1.9140%
PrimeNet2590.028162.7119%120002200000.00262.8492%0.030763.7743%1.0624%
GPU722630.584165.0794%140002400000.00291.7069%0.587165.6754%0.5961%
Difference+5+21.2303+2.5677%+986000+29760000+0.2860+4.2091%+21.5163+3.8856%+3.8856%

Known prime factors (1 factor, 75.8 bits, 0.00277563% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2732357676262382311530878488812375.84012375073650908920
23 × 5 × 7 × 137 × 163 × 1979163119
2021-07-2316319791631194,497.812.07622.555

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.797%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-28T02:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.372%
2011-01-19T23:50:00Jocelyn LaroucheManual testing5000050000---0.006--0.538%
2011-02-28T01:46:00James Heinrichi7-9203000008000000---0.081--3.996%
2018-07-04T21:47:02Jocelyn Larouchelow 4M60000060000006---0.100--4.085%
2021-06-04T16:18:23mognutsManual testing100000030000000---0.289--5.916%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-27T18:56:00Sturle Sundeiago.ifi260261--0.056--
2012-04-10T19:50:00markroldgamer261262--0.112--
2013-01-10T10:18:00dbaughManual testing262263--0.359--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.719--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.367--
2016-02-02T09:38:41ramgeisManual testing265266--2.735--
2017-10-05T11:09:28Gordon SpenceManual testing266267--5.470--
2019-02-15T01:31:26chuenkitManual testing267268--10.94--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.729 GHz-days
Estimated T-Level:21.946
DigitsB1CurvesCompleteFacMiss
2011000109 / 1001.09033.438%
2550000109 / 2800.38967.707%

New Calculation Method

Total ECM effort:11.729 GHz-days
Estimated T-Level:21.946
DigitsB1CompleteFacMiss
20110003.5512.871%
25500000.32072.624%
302500000.02098.053%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
50000500000010210.59
50000500000070.726


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06T00:00:00ANONYMOUSv4_computers933F59AD52C83CFA0.211
2018-08-09T00:19:17kkmrkkblmbrbkold933F59AD52C83CFA0.211


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-23T06:30:20SRJ2877LTOS
67626238231153087848881
56B947DAB0BAFC__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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1010
TF factor-bounds graph:
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265
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2100
Last modified: 2021-07-23T06:30:20+00:00