is 2 2686513 - 1
has 808721 decimal digits
takes 0.207 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L89E6206F7FAE3C95double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26822.186767.6471 %2000000500000000.51696.8678 %22.703669.8690 %
Target2630.594165.0794 %1300011000000.00811.6231 %0.602265.6462 %
Difference+5+21.5926+2.5677 %+1987000+48900000+0.5088+5.2447%+22.1014+4.2228 %

Known prime factors (1 factor, 85.9 bits, 0.00319656% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2686513710031365823134833896245532685.87613214739065530947252
22 × 3 × 7 × 11 × 14301665655336523
2020-09-1011143016656553365232,916,69487,263,798162,984,473

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.674%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.688%
2010-12-22JossManual testing2000020000--0.0020.632%
2010-12-26JossManual testing3000030000--0.0040.835%
2011-02-02markrtiny10500022837506--0.0284.504%
2016-06-17JossManual testing16178045675006--0.0505.500%
2016-12-19JossManual testing194136194136---2.275%
2017-01-10JossManual testing232963232963---2.461%
2017-04-04JossManual testing33546633546606--0.0625.587%
2018-09-03JossManual testing486559486559---3.294%
2019-05-29BigBrotherWinston5000001000000012--0.1117.190%
2019-11-17masserManual testing20000005000000012--0.57010.351%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.057
2009-01-26Sturle Sundegigotte.ifi2602610.057
2012-05-09Grant McCrackenhome2612620.114
2013-01-14dbaughManual testing2622630.365
2015-02-23VictordeHollanderManual testing2632640.731
2015-02-23VictordeHollanderManual testing2642651.391
2016-01-26ramgeisManual testing2652662.782
2017-09-13Gordon SpenceManual testing2662675.563
2019-04-29TJAOIManual testing26726811.13


ECM factoring results:
Total ECM effort:4.931 GHz-days
Estimated T-Level:20.890
DigitsB1CompleteFacMiss
20110001.92314.616%
25500000.17883.700%
302500000.01198.884%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.427
50000500000050.504


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02arnaudv4_computers89E6206F7FAE3C950.207
2018-07-28kkmrkkblmbrbkold89E6206F7FAE3C950.202


PRP results:
dateuseridcompidcofactorsres64
2020-09-12benthomasWork2
71003136582313483389624553
69D06ADA1CB2E63A


CERT results:
dateuseridcompid
2020-09-12Ben Deloi-0161cd35236054cbc


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 335466, B2 = 3354660 (P-1 stage 2)
B1 = 486559 (P-1 stage 1)
B1 = 161780, B2 = 4567500 (P-1 stage 2)
B1 = 335466 (P-1 stage 1)
B1 = 232963 (P-1 stage 1)
B1 = 105000, B2 = 2283750 (P-1 stage 2)
B1 = 194136 (P-1 stage 1)
B1 = 161780 (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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this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=20.89 ~= 53-bit
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Last modified: 2024-02-29T14:28:04+00:00