is 2 2036357 - 1
has 613005 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-LEFA6DD413F53B01Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26958.627669.5652%40000002000000001.39948.0934%60.027172.0284%2.4632%
PrimeNet2580.018963.7931%90001600000.00162.6623%0.020564.7570%0.9639%
GPU722620.301766.1290%90001200000.00141.3285%0.303166.5790%0.4500%
Difference+7+58.3259+3.4362%+3991000+199880000+1.3980+6.7650%+59.7239+5.4494%+5.4494%

Known prime factors:
No known factors for M2036357

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-24T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.178%
2009-02-05T07:14:00markrManual testing1000003000000---0.025--2.288%
2014-07-04T02:22:00Jocelyn LaroucheManual testing131519131519---0.013--0.808%
2014-10-17T00:38:00Jocelyn LaroucheManual testing163038163038---0.016--0.913%
2015-10-05T13:53:02Bruno Victal4790K-windows5000001500000012---0.123--4.225%
2019-05-26T10:23:19mikrMSI400000020000000012---1.399--8.093%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-10T00:00:00ANONYMOUSv4_computers21258--0.019--
2016-02-23T16:29:04Mark RoseManual testing258260--0.057--
2009-01-02T15:27:00Sturle Sundegiasha.ifi260261--0.075--
2012-02-10T21:47:00Sebastian HornbostelManual testing261262--0.151--
2013-08-29T08:26:00ramgeisManual testing262263--0.482--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.964--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.835--
2015-11-01T21:50:57ramgeisManual testing265266--3.670--
2016-07-29T19:18:38Gordon SpenceManual testing266267--7.339--
2019-03-20T02:02:09chuenkitManual testing267268--14.68--
2021-07-29T11:14:48TJAOIManual testing268269--29.36--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.658 GHz-days
Estimated T-Level:23.518
DigitsB1CurvesCompleteFacMiss
2011000197 / 1001.97013.808%
2550000197 / 2800.70449.419%

New Calculation Method

Total ECM effort:17.658 GHz-days
Estimated T-Level:23.518
DigitsB1CompleteFacMiss
20110007.7730.042%
25500000.73348.031%
302500000.04795.369%
3510000000.00299.771%


ECM Summary

B1B2factorcurvesGHz-days
50000500000018916.02
766202325961010.237
1000001441388971.399


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computersEFA6DD413F53B01A0.134
2016-07-15T18:01:35Mark RosedonatelloEFA6DD413F53B01A0.134


PRP results:
No PRP results for M2036357


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 = 163038 (P-1 stage 1)
B1 = 131519 (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: 2021-11-10T09:29:48+00:00