is 2 2342129 - 1
has 705052 decimal digits
takes 0.158 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L285F3C67C98AA612double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26825.449067.6471 %60000001800000001.51648.9735 %26.965470.5502 %
Target2620.262364.5161 %1300010000000.00651.7853 %0.268865.1496 %
Difference+6+25.1867+3.1309 %+5987000+179000000+1.5098+7.1882%+26.6965+5.4006 %

Known prime factors (1 factor, 98.1 bits, 0.00419011% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23421293486618853186933944898035883693098.13874432681828945671756296
23 × 3 × 3101361742872736323179
2020-08-21831013617428727363231792.741e+101.655e+133.091e+13

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.792%
2010-03-01Budannan5000001000000012--0.1027.764%
2018-03-05Sid & AndyHand_In_The_Box600000018000000012--1.55713.810%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.066
2009-01-14Sturle Sundegimo.ifi2602610.066
2012-05-28Sebastian HornbostelManual testing2612620.131
2013-12-04Luigi MorelliManual testing2622630.419
2015-03-06VictordeHollanderManual testing2632640.838
2015-03-06VictordeHollanderManual testing2642651.595
2015-10-26ramgeisManual testing2652663.191
2017-06-10Gordon SpenceManual testing2662676.381
2019-03-11TJAOIManual testing26726812.76


ECM factoring results:
Total ECM effort:7.691 GHz-days
Estimated T-Level:21.566
DigitsB1CompleteFacMiss
20110003.3853.389%
25500000.31373.113%
302500000.02098.044%


ECM Summary

B1B2factorcurvesGHz-days
500005000000847.336
50000500000040.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-15ANONYMOUSv4_computers285F3C67C98AA6120.158
2018-05-08kkmrkkblmbrbkold285F3C67C98AA6120.158


PRP results:
dateuseridcompidcofactorsres64
2020-08-21ATHec2-PRPCF
348661885318693394489803588369
5AAC8E93D8B133B0


CERT results:
dateuseridcompid
2020-08-21George WoltmanKabyLake5


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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: 62
TF double-checked to: 67
ECM T-Level=21.57 ~= 55-bit
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Last modified: 2024-02-29T14:28:04+00:00