is 2 2680241 - 1
has 806833 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-L1DBB4D952FE5D3C4double-checked
PRPA2B6EC1D29DF589Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26822.238667.6471%2000000500000000.51696.8661%22.755569.8684%2.2214%
PrimeNet2590.028762.7119%120002200000.00262.8393%0.031363.7706%1.0587%
GPU722630.595565.0794%130002200000.00271.6223%0.598265.6459%0.5665%
Difference+5+21.6432+2.5677%+1987000+49780000+0.5141+5.2438%+22.1573+4.2226%+4.2226%

Known prime factors (1 factor, 71.4 bits, 0.00266552% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
268024132082000928682145220312271.442598490973921415
5 × 1303 × 91863541661
2020-09-02130391863541661319.54560.521,046.9

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%
2010-11-20T12:24:00Jocelyn LaroucheManual testing2000020000---0.002--0.268%
2010-12-05T18:17:00markrtiny1050002283750---0.025--2.549%
2016-06-14T05:07:20Jocelyn LaroucheManual testing15184145675006---0.044--3.186%
2016-12-17T04:47:50Jocelyn Larouchelow 4M182209182209---0.020--1.163%
2016-12-29T21:56:33Jocelyn Larouchelow 4M218650218650---0.024--1.277%
2017-03-03T01:10:49Jocelyn Larouchelow 4M31485631485606---0.053--3.267%
2018-02-20T11:49:00Jocelyn Larouchelow 4M377827377827---0.042--1.660%
2018-08-23T10:06:01Jocelyn Larouchelow 4M90782718156546---0.107--3.061%
2018-08-29T01:29:31Jocelyn Larouchelow 4M90782736313086---0.118--3.734%
2019-11-16T14:17:39masserManual testing20000005000000012---0.517--6.866%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-31T17:15:00Sturle Sundekrebs.ifi260261--0.057--
2012-05-18T02:28:00markroldgamer261262--0.115--
2013-01-14T12:25:00dbaughManual testing262263--0.366--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.733--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.394--
2016-01-25T14:29:40ramgeisManual testing265266--2.788--
2017-09-13T08:55:32Gordon SpenceManual testing266267--5.576--
2019-05-27T13:36:55TJAOIManual testing267268--11.15--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.759 GHz-days
Estimated T-Level:2.300
DigitsB1CurvesCompleteFacMiss
201100046 / 1000.46062.982%
255000046 / 2800.16484.825%

New Calculation Method

Total ECM effort:4.759 GHz-days
Estimated T-Level:2.300
DigitsB1CompleteFacMiss
20110001.48422.676%
25500000.13487.449%
302500000.00899.178%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.656
50000500000010.103


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00foxkidv4_computers1DBB4D952FE5D3C40.207
2018-07-26T09:52:26kkmrkkblmbrbkold1DBB4D952FE5D3C40.207


PRP results:
dateuseridcompidcofactorsres64PRP
2020-09-03T02:13:21jvang3600
3208200092868214522031
A2B6EC1D29DF589Bno


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 907827, B2 = 3631308 (P-1 stage 2)
B1 = 907827, B2 = 1815654 (P-1 stage 2)
B1 = 907827 (P-1 stage 1)
B1 = 314856, B2 = 3148560 (P-1 stage 2)
B1 = 151841, B2 = 4567500 (P-1 stage 2)
B1 = 377827 (P-1 stage 1)
B1 = 314856 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 218650 (P-1 stage 1)
B1 = 182209 (P-1 stage 1)
B1 = 151841 (P-1 stage 1)
B1 = 105000 (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: 2020-09-03T02:13:21+00:00