is 2 2686273 - 1
has 808649 decimal digits
takes 0.207 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L67A7F0ABE7AE0F76double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26944.443368.1159%3000000900000000.86687.1892%45.310170.4081%2.2922%
PrimeNet2590.028662.7119%120002200000.00262.8404%0.031263.7710%1.0591%
GPU722630.594165.0794%130002200000.00271.6230%0.596965.6461%0.5668%
Difference+6+43.8491+3.0366%+2987000+89780000+0.8641+5.5661%+44.7132+4.7620%+4.7620%

Known prime factors:
No known factors for M2686273

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_computers15000217500---0.003--0.671%
2010-12-22T11:37:00Jocelyn LaroucheManual testing2000020000---0.002--0.225%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.314%
2011-02-02T12:14:00markrtiny1050002283750---0.025--2.264%
2016-06-17T04:08:31Jocelyn LaroucheManual testing16178245675006---0.045--2.883%
2016-12-19T18:37:54Jocelyn Larouchelow 4M194138194138---0.022--1.054%
2017-01-10T10:25:16Jocelyn Larouchelow 4M232965232965---0.026--1.159%
2017-04-04T20:17:35Jocelyn Larouchelow 4M33546933546906---0.056--3.007%
2018-09-03T21:22:24Jocelyn Larouchelow 4M486562486562---0.054--1.650%
2019-07-03T12:33:16BigBrotherWinston30000009000000012---0.867--7.189%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-02-01T03:00:00Sturle Sundegerle.ifi260261--0.057--
2012-05-07T21:54:00markroldgamer261262--0.114--
2013-01-14T12:26:00dbaughManual testing262263--0.365--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.731--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.391--
2016-01-26T10:48:53ramgeisManual testing265266--2.782--
2017-09-13T08:55:34Gordon SpenceManual testing266267--5.564--
2019-04-29T13:20:16TJAOIManual testing267268--11.13--
2021-07-26T11:06:07TJAOIManual testing268269--22.25--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.397 GHz-days
Estimated T-Level:22.446
DigitsB1CurvesCompleteFacMiss
2011000137 / 1001.37025.236%
2550000137 / 2800.48961.253%

New Calculation Method

Total ECM effort:14.397 GHz-days
Estimated T-Level:22.446
DigitsB1CompleteFacMiss
20110005.3140.492%
25500000.49261.167%
302500000.03196.944%
3510000000.00199.855%


ECM Summary

B1B2factorcurvesGHz-days
50000500000012312.73
50000665000070.827
50000686519970.840


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00Greg Hewgillv4_computers67A7F0ABE7AE0F760.207


PRP results:
No PRP results for M2686273


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 335469, B2 = 3354690 (P-1 stage 2)
B1 = 486562 (P-1 stage 1)
B1 = 161782, B2 = 4567500 (P-1 stage 2)
B1 = 335469 (P-1 stage 1)
B1 = 232965 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 194138 (P-1 stage 1)
B1 = 161782 (P-1 stage 1)
B1 = 105000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (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: 2022-05-13T06:14:02+00:00