is 2 2023951 - 1
has 609270 decimal digits
takes 0.133 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LD39EDC795BDFB354double-checked
PRPE8636D7E47247422verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.449869.1176%40000002000000001.39948.7502%30.849271.8199%2.7023%
PrimeNet2580.019063.7931%90001500000.00162.6129%0.020664.7392%0.9461%
GPU722620.303566.1290%80001200000.00131.2738%0.304966.5605%0.4315%
Difference+6+29.1462+2.9886%+3992000+199880000+1.3981+7.4764%+30.5443+5.2594%+5.2594%

Known prime factors (1 factor, 84.6 bits, 0.00418102% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2023951297659489657200266466148892684.6227353426284954533644
22 × 3 × 7 × 23 × 283 × 13449191750899
2020-12-06283134491917508993,554,74569,858130,476

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.017%
2003-01-09T00:00:00ANONYMOUSv4_computers25000412500---0.004--1.078%
2010-12-11T00:04:00Jocelyn LaroucheManual testing202395202395---0.019--1.171%
2013-10-21T08:49:00David Campeaui5-2500k58000015080000---0.131--4.746%
2019-03-16T18:47:41mikrMSI400000020000000012---1.399--8.750%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-02T00:00:00Gavin Brockv4_computers21258--0.019--
2016-02-23T16:29:03Mark RoseManual testing258260--0.057--
2009-01-02T21:31:00Sturle Sundefoster.ifi260261--0.076--
2012-02-05T18:47:00Sebastian HornbostelManual testing261262--0.152--
2013-02-11T20:23:00dbaughManual testing262263--0.485--
2015-04-10T15:56:00VictordeHollanderManual testing263264--0.970--
2015-04-10T15:56:00VictordeHollanderManual testing264265--1.846--
2015-10-31T16:44:07ramgeisManual testing265266--3.692--
2016-07-02T13:21:35Gordon SpenceManual testing266267--7.384--
2019-03-18T03:51:01chuenkitManual testing267268--14.77--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.875 GHz-days
Estimated T-Level:22.714
DigitsB1CurvesCompleteFacMiss
2011000152 / 1001.52021.704%
2550000152 / 2800.54358.052%

New Calculation Method

Total ECM effort:12.875 GHz-days
Estimated T-Level:22.714
DigitsB1CompleteFacMiss
20110005.8460.289%
25500000.54158.221%
302500000.03496.646%
3510000000.00299.841%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015012.71
50000500000020.169


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-29T00:00:00Gavin Brockv4_computersD39EDC795BDFB3540.133
2016-07-15T14:29:57Mark RosemichelangeloD39EDC795BDFB3540.133


PRP results:
dateuseridcompidcofactorsres64PRP
2020-12-06T20:14:20mrhx
29765948965720026646614889
E8636D7E47247422no


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 202395 (P-1 stage 1)
B1 = 25000, B2 = 412500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-12-06T20:14:20+00:00