is 2 2812597 - 1
has 846677 decimal digits
takes 0.217 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LA5B447C480A777A8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26821.192167.6471 %50000002000000001.74989.1623 %22.941970.6113 %
Target2630.567565.0794 %1500013000000.00951.7913 %0.577065.7049 %
Difference+5+20.6247+2.5677 %+4985000+198700000+1.7403+7.3710%+22.3649+4.9064 %

Known prime factors (1 factor, 68.5 bits, 0.00243627% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28125974239440202039334149532168.52275365226551108
22 × 13 × 1449331279829
2020-12-0313144933127982921.1928,843.316,517

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.683%
2010-11-12JossManual testing1500015000--0.0020.515%
2010-11-17markrtiny10000021000006--0.0264.421%
2016-05-11JossManual testing20000036000006--0.0485.414%
2017-07-30JossManual testing40000040000006--0.0745.922%
2019-09-28masserManual testing28125972812597012--0.5179.638%
2020-01-11masserManual testing500000020000000012--1.92813.166%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.055
2009-02-14Sturle Sundemorovan.ifi2602610.055
2012-02-28Grant McCrackenthumper2612620.109
2013-01-10dbaughManual testing2622630.349
2015-04-21VictordeHollanderManual testing2632640.698
2015-04-21VictordeHollanderManual testing2642651.328
2016-02-11ramgeisManual testing2652662.657
2017-10-24Gordon SpenceManual testing2662675.314
2018-12-30chuenkitManual testing26726810.63


ECM factoring results:
Total ECM effort:5.675 GHz-days
Estimated T-Level:21.014
DigitsB1CompleteFacMiss
20110002.19211.166%
25500000.20381.640%
302500000.01398.729%


ECM Summary

B1B2factorcurvesGHz-days
500005000000515.065
50000500000060.610


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-30ANONYMOUSv4_computersA5B447C480A777A80.217
2018-09-04kkmrkkblmbrbkoldA5B447C480A777A80.212


PRP results:
dateuseridcompidcofactorsres64
2020-12-03mrhx
423944020203933414953
54CDB97F0E9D47A6


CERT results:
dateuseridcompid
2020-12-03Ben Deloi-0a34903c7e7d0effb


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2812597, B2 = 28125970 (P-1 stage 2)
B1 = 2812597 (P-1 stage 1)
B1 = 400000, B2 = 4000000 (P-1 stage 2)
B1 = 400000 (P-1 stage 1)
B1 = 200000, B2 = 3600000 (P-1 stage 2)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (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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267
266
265
264
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this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.01 ~= 53-bit
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Last modified: 2024-02-29T14:28:04+00:00