is 2 2035093 - 1
has 612625 decimal digits
takes 0.134 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L0988FEBBCD143199double-checked
PRP067A33A77BF96CFCPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26829.288569.1176%40000002000000001.39948.7548%30.688071.8213%2.7037%
PrimeNet2580.018963.7931%90001500000.00162.6156%0.020564.7401%0.9470%
GPU722620.301966.1290%90001200000.00141.3283%0.303366.5789%0.4499%
Difference+6+28.9866+2.9886%+3991000+199880000+1.3980+7.4265%+30.3846+5.2424%+2.2538%

Known prime factors (1 factor, 75.1 bits, 0.00369131% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2035093410999922964339226208712375.12210097816732806295
5 × 43 × 3313 × 14176453201
2021-06-193313141764532015,790.673.636137.53

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.221%
2009-01-30T06:15:00markrManual testing1000003000000---0.025--2.577%
2014-07-04T02:22:00Jocelyn LaroucheManual testing131539131539---0.013--0.928%
2014-10-17T00:38:00Jocelyn LaroucheManual testing163078163078---0.016--1.045%
2015-10-05T09:34:35Bruno Victal4790K-windows5000001500000012---0.123--4.660%
2019-05-21T15:56:42mikrMSI400000020000000012---1.399--8.755%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.057--
2009-01-02T06:54:00Sturle Sundegiasha.ifi260261--0.075--
2012-02-10T19:47:00Sebastian HornbostelManual testing261262--0.151--
2013-08-29T08:26:00ramgeisManual testing262263--0.482--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.965--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.836--
2015-11-01T21:50:57ramgeisManual testing265266--3.672--
2016-07-29T19:18:38Gordon SpenceManual testing266267--7.344--
2019-03-20T02:02:09chuenkitManual testing267268--14.69--


ECM factoring results:
Total ECM effort:16.418 GHz-days
Estimated T-Level:23.413
DigitsB1CompleteFacMiss
20110007.3490.064%
25500000.68350.531%
302500000.04395.773%
3510000000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000016113.65
500006200000211.953
50000675000060.581
766202325961010.237


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-10T00:00:00ANONYMOUSv4_computers0988FEBBCD1431990.134
2016-07-15T17:36:01Mark Roseleonardo0988FEBBCD1431990.134


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-19T14:47:55SRJ2877LTOS
41099992296433922620871
067A33A77BF96CFCno


P-1 factor-bounds graph:
B1 = 4000000, B2 = 200000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 163078 (P-1 stage 1)
B1 = 131539 (P-1 stage 1)
B1 = 100000 (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: 2021-06-19T14:47:55+00:00