is 2 2667499 - 1
has 802998 decimal digits
takes 0.206 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1D11A75B7FE2B50Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.756168.1159%2000000500000000.51696.2972%45.272970.1237%2.0078%
PrimeNet2590.028862.7119%110002000000.00242.7076%0.031263.7215%1.0096%
GPU722630.598365.0794%130002200000.00271.6208%0.601065.6454%0.5660%
Difference+6+44.1578+3.0366%+1987000+49780000+0.5141+4.6764%+44.6719+4.4784%+4.4784%

Known prime factors:
No known factors for M2667499

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.193%
2003-11-28T00:00:00Team Prime Ribv4_computers15000213750---0.003--0.666%
2010-11-19T22:14:00Jocelyn LaroucheManual testing2000020000---0.002--0.224%
2010-12-10T06:15:00markrtiny1050002283750---0.025--2.262%
2014-11-06T23:05:00Jocelyn LaroucheManual testing129062129062---0.014--0.839%
2016-06-09T04:28:05Jocelyn LaroucheManual testing15196845675006---0.044--2.847%
2016-12-18T19:43:07Jocelyn Larouchelow 4M182361182361---0.020--1.018%
2017-01-10T10:25:00Jocelyn Larouchelow 4M218833218833---0.025--1.121%
2017-03-07T20:00:32Jocelyn Larouchelow 4M31511831511806---0.053--2.935%
2018-08-29T01:29:36Jocelyn Larouchelow 4M630236630236---0.071--1.845%
2018-08-30T21:10:19Jocelyn Larouchelow 4M6302361260472---0.074--2.405%
2018-09-03T21:22:17Jocelyn Larouchelow 4M6302361890708---0.078--2.737%
2018-09-04T10:43:05Jocelyn Larouchelow 4M6302362520944---0.082--2.975%
2019-11-24T14:34:10masserManual testing20000005000000012---0.517--6.297%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:18Mark RoseManual testing21260--0.058--
2009-01-31T02:16:00Sturle Sundeghirardelli.ifi260261--0.058--
2012-05-18T16:45:00markroldgamer261262--0.115--
2013-01-14T11:57:00dbaughManual testing262263--0.368--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.736--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.401--
2016-01-25T14:29:35ramgeisManual testing265266--2.801--
2017-09-08T08:21:19Gordon SpenceManual testing266267--5.603--
2019-04-29T13:20:17TJAOIManual testing267268--11.21--
2021-06-14T11:23:09TJAOIManual testing268269--22.41--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.025 GHz-days
Estimated T-Level:22.554
DigitsB1CurvesCompleteFacMiss
2011000143 / 1001.43023.759%
2550000143 / 2800.51159.952%

New Calculation Method

Total ECM effort:15.025 GHz-days
Estimated T-Level:22.554
DigitsB1CompleteFacMiss
20110005.5450.391%
25500000.51359.849%
302500000.03296.811%
3510000000.00299.849%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012913.34
50000675000070.832
50000715000070.857


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers1D11A75B7FE2B50F0.206
2018-07-23T11:34:23kkmrkkblmbrbkold1D11A75B7FE2B50F0.206


PRP results:
No PRP results for M2667499


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630236, B2 = 2520944 (P-1 stage 2)
B1 = 630236, B2 = 1890708 (P-1 stage 2)
B1 = 630236, B2 = 1260472 (P-1 stage 2)
B1 = 630236 (P-1 stage 1)
B1 = 315118, B2 = 3151180 (P-1 stage 2)
B1 = 151968, B2 = 4567500 (P-1 stage 2)
B1 = 315118 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218833 (P-1 stage 1)
B1 = 182361 (P-1 stage 1)
B1 = 151968 (P-1 stage 1)
B1 = 129062 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 213750 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
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: 2022-06-06T23:05:14+00:00