is 2 2684273 - 1
has 808047 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-LA5EC264FF0F4B4AEdouble-checked
PRPC28F58B042445214verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.205267.6471%3000000900000000.86687.8039%23.072070.1718%2.5248%
PrimeNet2590.028662.7119%120002200000.00262.8400%0.031263.7709%1.0590%
GPU722630.594665.0794%130002200000.00271.6228%0.597365.6461%0.5667%
Difference+5+21.6106+2.5677%+2987000+89780000+0.8641+6.1810%+22.4747+4.5258%+4.5258%

Known prime factors (1 factor, 73.0 bits, 0.00272108% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
268427397180363429902143298972273.0411810180324987476
22 × 3 × 13 × 257 × 45150661603
2020-09-07257451506616031,042.1275.49514.55

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.240%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.786%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.371%
2011-02-03T09:16:00markrtiny1050002283750---0.025--2.550%
2016-06-15T12:00:40Jocelyn LaroucheManual testing16180245675006---0.045--3.222%
2016-12-19T18:37:55Jocelyn Larouchelow 4M194162194162---0.022--1.203%
2017-01-10T10:25:17Jocelyn Larouchelow 4M232994232994---0.026--1.319%
2017-04-07T19:41:22Jocelyn Larouchelow 4M33551033551006---0.056--3.344%
2018-09-03T21:22:24Jocelyn Larouchelow 4M486612486612---0.054--1.857%
2019-07-04T23:14:29BigBrotherWinston30000009000000012---0.867--7.804%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-31T02:54:00Sturle Sundegoober.ifi260261--0.057--
2012-05-11T05:01:00markroldgamer261262--0.114--
2013-01-23T08:31:00dbaughManual testing262263--0.366--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.731--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.392--
2016-01-26T10:48:52ramgeisManual testing265266--2.784--
2017-09-13T08:55:33Gordon SpenceManual testing266267--5.568--
2019-05-06T12:23:21TJAOIManual testing267268--11.14--


ECM factoring results:

Old Calculation Method

Total ECM effort:5.174 GHz-days
Estimated T-Level:2.500
DigitsB1CurvesCompleteFacMiss
201100050 / 1000.50060.501%
255000050 / 2800.17983.620%

New Calculation Method

Total ECM effort:5.174 GHz-days
Estimated T-Level:2.500
DigitsB1CompleteFacMiss
20110001.61319.931%
25500000.14686.435%
302500000.00999.106%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.657
50000500000050.517


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computersA5EC264FF0F4B4AE0.207
2018-07-27T07:06:12kkmrkkblmbrbkoldA5EC264FF0F4B4AE0.207


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-07T16:40:49ATHec2-PRPCF
9718036342990214329897
C28F58B042445214no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 90000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 335510, B2 = 3355100 (P-1 stage 2)
B1 = 486612 (P-1 stage 1)
B1 = 161802, B2 = 4567500 (P-1 stage 2)
B1 = 335510 (P-1 stage 1)
B1 = 232994 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 194162 (P-1 stage 1)
B1 = 161802 (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: 2020-09-07T16:40:49+00:00