is 2 2832131 - 1
has 852557 decimal digits
takes 0.219 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L78F0B9BE96C4AEF1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272337.672869.4444 %50000002000000001.74986.6933 %339.422671.4896 %
Target2630.563565.0794 %1600013000000.00961.8268 %0.573265.7173 %
Difference+9+337.1093+4.3651 %+4984000+198700000+1.7402+4.8665%+338.8494+5.7723 %

Known prime factors (1 factor, 79.5 bits, 0.00280774% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28321318661673924398602943330792479.519152917960440364569
33 × 17 × 29 × 11488089583079
2020-11-16291148808958307943,23070,096130,920

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.684%
2012-12-17Squeeky_SquirrelT7500_2200195000628875012--0.0656.023%
2017-07-10JossManual testing39000039000006---5.883%
2017-08-22JossManual testing46800046800006--0.0866.204%
2019-11-04masserManual testing28400002840000012--0.5229.664%
2020-01-29masserManual testing500000020000000012--1.92813.173%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.054
2009-02-13Sturle Sundegonzo.ifi2602610.054
2012-02-12Grant McCrackenthumper2612620.108
2012-07-15dbaughManual testing2622630.347
2012-07-16dbaughManual testing2632640.693
2012-07-18dbaughManual testing2642651.319
2012-07-18dbaughManual testing2652662.639
2012-07-23dbaughManual testing2662675.277
2012-07-27dbaughManual testing26726810.55
2012-07-29dbaughManual testing26826921.11
2012-08-28dbaughManual testing26927042.22
2012-11-19dbaughManual testing27027184.43
2013-02-23dbaughManual testing271272168.9


ECM factoring results:
Total ECM effort:5.195 GHz-days
Estimated T-Level:20.907
DigitsB1CompleteFacMiss
20110001.96214.064%
25500000.18183.402%
302500000.01198.862%


ECM Summary

B1B2factorcurvesGHz-days
500005000000454.585
50000500000060.610


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-07-27ANONYMOUSv4_computers78F0B9BE96C4AEF10.219
2018-09-11kkmrkkblmbrbkold78F0B9BE96C4AEF10.213


PRP results:
dateuseridcompidcofactorsres64
2020-11-16mrhlanai
866167392439860294333079
7CF86906278DD81E
2020-12-01oodairacom2
866167392439860294333079
7CF86906278DD81E


CERT results:
dateuseridcompid
2020-12-01WRwr42


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2840000, B2 = 28400000 (P-1 stage 2)
B1 = 2840000 (P-1 stage 1)
B1 = 468000, B2 = 4680000 (P-1 stage 2)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 6288750 (P-1 stage 2)
B1 = 468000 (P-1 stage 1)
B1 = 390000 (P-1 stage 1)
B1 = 195000 (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=20.91 ~= 53-bit
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Last modified: 2024-02-29T14:28:04+00:00