is 2 8134657 - 1
has 2448776 decimal digits
takes 2.124 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3F39E18A74F04586double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272117.562968.0556%150000080057835017.05117.9750%134.614070.6031%2.5476%
PrimeNet2630.196263.4921%360009000000.03153.6153%0.227764.8119%1.3199%
GPU722673.652865.6716%5500013000000.04652.6231%3.699366.5721%0.9005%
Difference+5+113.9101+2.3839%+1445000+799278350+17.0046+5.3519%+130.9147+4.0310%+4.0310%

Known prime factors:
No known factors for M8134657

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-12-02T00:00:00ANONYMOUSv4_computers45000731250---0.031--1.117%
2012-10-21T21:12:00NesowaEPC1000001975000---0.077--1.787%
2021-12-17T18:04:28FlaukrotistColab_HLM21500000800578350---17.05--7.975%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-06T00:00:00ANONYMOUSv4_computers21263--0.196--
2013-09-20T19:01:00AxelssonManual testing263264--0.241--
2014-01-02T21:19:00David CampeauManual testing264265--0.459--
2015-05-26T01:41:00snme2pm1Manual testing265266--0.919--
2015-12-01T20:25:41snme2pm1Manual testing266267--1.837--
2018-07-05T05:31:10chuenkitManual testing267268--3.675--
2019-12-08T18:46:30mnd9Manual testing268269--7.349--
2021-08-19T16:09:27SRBaseManual testing269270--14.70--
2021-08-27T17:17:59SRBaseManual testing270271--29.40--
2021-10-15T18:18:14SRBaseManual testing271272--58.79--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.382 GHz-days
Estimated T-Level:0.300
DigitsB1CurvesCompleteFacMiss
20110006 / 1000.06094.148%
25500006 / 2800.02197.876%

New Calculation Method

Total ECM effort:2.382 GHz-days
Estimated T-Level:0.300
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-14T00:00:00ANONYMOUSv4_computers3F39E18A74F045862.124
2003-01-25T00:00:00ANONYMOUSv4_computers3F39E18A74F045862.124


PRP results:
No PRP results for M8134657


P-1 factor-bounds graph:
B1 = 1500000, B2 = 800578350 (P-1 stage 2)
B1 = 1500000 (P-1 stage 1)
B1 = 100000, B2 = 1975000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 45000, B2 = 731250 (P-1 stage 2)
B1 = 45000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-12-17T18:04:28+00:00