is 2 2732831 - 1
has 822665 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-LC39CE70C2B065956double-checked
PRP81A66ADC71CB8E__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.810767.6471%60000060000000.10014.0848%21.910868.9686%1.3215%
PrimeNet2590.028162.7119%120002200000.00262.8493%0.030763.7743%1.0624%
GPU722630.584065.0794%140002400000.00291.7070%0.587065.6755%0.5961%
Difference+5+21.2267+2.5677%+586000+5760000+0.0972+2.3778%+21.3239+3.2931%+3.2931%

Known prime factors (1 factor, 70.7 bits, 0.00258603% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
273283118807412572628167630472270.672344101273965133
344101273965133
2020-09-011344101273965133135.412,099,5863,921,443

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%
2011-02-28T07:54:00James Heinrichi7-9203000008000000---0.081--3.996%
2018-07-07T10:13:45Jocelyn Larouchelow 4M60000060000006---0.100--4.085%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-01-13T00:00:00ANONYMOUSv4_computers21259--0.028--
2016-02-23T16:29:20Mark RoseManual testing259260--0.028--
2009-01-28T05:10:00Sturle Sundeiago.ifi260261--0.056--
2012-04-10T02:17:00markroldgamer261262--0.112--
2013-01-14T12:27:00dbaughManual testing262263--0.359--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.718--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.367--
2016-02-02T09:38:42ramgeisManual testing265266--2.734--
2017-10-05T11:09:29Gordon SpenceManual testing266267--5.469--
2019-02-15T01:31:26chuenkitManual testing267268--10.94--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.151 GHz-days
Estimated T-Level:2.000
DigitsB1CurvesCompleteFacMiss
201100040 / 1000.40066.897%
255000040 / 2800.14386.666%

New Calculation Method

Total ECM effort:4.151 GHz-days
Estimated T-Level:2.000
DigitsB1CompleteFacMiss
20110001.29027.518%
25500000.11788.993%
302500000.00799.284%


ECM Summary

B1B2factorcurvesGHz-days
500005000000394.047
50000500000010.104


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-13T00:00:00ANONYMOUSv4_computersC39CE70C2B0659560.211
1999-08-16T00:00:00ANONYMOUSv4_computersC39CE70C2B0659560.211
2018-08-09T03:54:37kkmrkkblmbrbkoldC39CE70C2B0659560.211


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-04T22:54:43Team_InspectorPurple
1880741257262816763047
81A66ADC71CB8E__no


P-1 factor-bounds graph:
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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TF factor-bounds graph:
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Last modified: 2020-09-04T22:54:43+00:00