is 2 4096531 - 1
has 1233179 decimal digits
takes 0.511 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEF1C7F4205C01308double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271116.703269.0141%50000001500000002.33297.1895%119.036171.2418%2.2277%
PrimeNet2610.075063.9344%170003400000.00632.8223%0.081264.9523%1.0179%
GPU722651.780966.1538%220004000000.00771.8083%1.788666.7659%0.6120%
Difference+6+114.9223+2.8602%+4978000+149600000+2.3252+5.3813%+117.2475+4.4759%+4.4759%

Known prime factors:
No known factors for M4096531

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-07-22T19:32:00Carsten Kossendeydurandal20000300000---0.006--0.662%
2011-07-02T12:21:00harleeP4_260040000580000---0.013--1.023%
2013-07-28T10:55:00Squeeky_SquirrelP4_26001250002343750---0.044--1.984%
2020-10-10T19:09:37ViliamFManual testing5000000150000000---2.333--7.190%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-17T04:05:25ATH5960X250000018250000027--2.425


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-03T00:00:00ANONYMOUSv4_computers21261--0.075--
2010-11-17T20:05:00Grant McCrackenthumper261262--0.075--
2011-05-28T03:15:00GrunwalderGIMPManual testing21263--0.390--
2016-02-23T16:29:48Mark RoseManual testing262263--0.240--
2013-09-01T12:43:00JayderManual testing263264--0.479--
2013-10-28T03:13:00David CampeauManual testing264265--0.912--
2015-05-24T21:48:00snme2pm1Manual testing265266--1.824--
2016-10-15T21:43:26kkmrkkblmbrbkManual testing266267--3.648--
2018-11-09T16:54:03YxinityManual testing267268--7.297--
2021-07-08T15:43:02TJAOIManual testing268269--14.59--
2021-11-30T17:00:06mikrManual testing269270--29.19--
2022-04-19T18:25:23mikrManual testing270271--58.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.170 GHz-days
Estimated T-Level:0.600
DigitsB1CurvesCompleteFacMiss
201100012 / 1000.12088.638%
255000012 / 2800.04395.797%

New Calculation Method

Total ECM effort:2.170 GHz-days
Estimated T-Level:0.600
DigitsB1CompleteFacMiss
20110000.46263.031%
25500000.04395.819%
302500000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
500005000000122.170


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-29T00:00:00ANONYMOUSv4_computersEF1C7F4205C013080.511


PRP results:
No PRP results for M4096531


P-1 factor-bounds graph:
B1 = 5000000, B2 = 150000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 125000, B2 = 2343750 (P-1 stage 2)
B1 = 125000 (P-1 stage 1)
B1 = 40000, B2 = 580000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
B1 = 20000, B2 = 300000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-19T18:25:23+00:00