is 2 3164081 - 1
has 952484 decimal digits
takes 0.269 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LF4AEAE55C20C07A5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26937.731968.1159%30000001000000001.02247.4334%38.754370.4860%2.3701%
PrimeNet2600.048563.3333%130002400000.00312.6520%0.051764.3057%0.9724%
GPU722641.124965.6250%150002600000.00351.5813%1.128466.1686%0.5436%
Difference+5+36.6070+2.4909%+2985000+99740000+1.0189+5.8521%+37.6259+4.3174%+4.3174%

Known prime factors:
No known factors for M3164081

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.203%
2009-07-03T00:42:00Carsten Kossendeyleela15000191250---0.003--0.666%
2011-09-09T08:46:00Squeeky_SquirrelT7500_220060000960000---0.013--1.648%
2014-05-26T23:57:00Jocelyn LaroucheManual testing8028580285---0.010--0.650%
2014-09-25T21:11:00Jocelyn LaroucheManual testing100570100570---0.012--0.748%
2015-08-10T13:57:00Jocelyn LaroucheManual testing433983433983---0.054--1.607%
2015-11-05T00:02:31Jocelyn LaroucheManual testing552156552156---0.068--1.788%
2015-11-28T03:20:19HBendtzManual testing5000001200000012---0.139--4.271%
2019-07-19T02:34:37mikrMSI300000010000000012---1.022--7.433%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-06-23T00:00:00ANONYMOUSv4_computers21260--0.049--
2009-04-10T19:14:00S485122USB-A260261--0.049--
2011-10-28T22:13:00Grant McCrackenthumper261262--0.097--
2013-01-03T08:45:00dbaughManual testing262263--0.310--
2015-02-11T09:10:00VictordeHollanderManual testing263264--0.620--
2015-02-11T09:10:00VictordeHollanderManual testing264265--1.181--
2015-06-17T10:00:00ThaManual testing265266--2.362--
2017-04-22T18:10:36Gordon SpenceManual testing266267--4.723--
2019-01-21T12:54:07TJAOIManual testing267268--9.447--
2021-06-14T11:22:14TJAOIManual testing268269--18.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.883 GHz-days
Estimated T-Level:4.600
DigitsB1CurvesCompleteFacMiss
201100092 / 1000.92039.668%
255000092 / 2800.32971.953%

New Calculation Method

Total ECM effort:10.883 GHz-days
Estimated T-Level:4.600
DigitsB1CompleteFacMiss
20110003.5492.875%
25500000.32971.964%
302500000.02197.945%


ECM Summary

B1B2factorcurvesGHz-days
500005000000859.96
50000635000070.919


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-08-22T00:00:00LEE Sau Danv4_computersF4AEAE55C20C07A50.269
1999-12-08T00:00:00ANONYMOUSv4_computersF4AEAE55C20C07A50.269


PRP results:
No PRP results for M3164081


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 500000, B2 = 12000000 (P-1 stage 2)
B1 = 552156 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 433983 (P-1 stage 1)
B1 = 60000, B2 = 960000 (P-1 stage 2)
B1 = 100570 (P-1 stage 1)
B1 = 80285 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 15000, B2 = 191250 (P-1 stage 2)
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: 2022-06-03T02:20:50+00:00