is 2 2742893 - 1
has 825694 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L964F2D04C3937338double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.833167.1642 %3000002351279701.46647.5667 %12.299569.6488 %
Target2630.581965.0794 %1400012000000.00881.7082 %0.590765.6759 %
Difference+4+10.2512+2.0848 %+286000+233927970+1.4576+5.8585%+11.7088+3.9729 %

Known prime factors (1 factor, 67.3 bits, 0.00245377% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27428931822273043921667184492167.30433218084772568
23 × 2689 × 1544165339
2015-03-042689154416533911.7489.422217.598

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-16ANONYMOUSv4_computers2048204800--0.0010.678%
2003-11-28Team Prime Ribv4_computers15000225000--0.0031.711%
2010-12-21JossManual testing2000020000--0.0020.635%
2010-12-29JossManual testing3000030000--0.0040.838%
2011-01-21JossManual testing5000050000--0.0061.149%
2011-04-30James HeinrichWHS18500046250006--0.0485.621%
2023-02-26USAFSS6917th_Scty_Sq300000235127970--1.61610.767%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-30Sturle Sundegollumilla.ifi2602610.056
2012-04-05markroldgamer2612620.112
2013-01-14dbaughManual testing2622630.358


ECM factoring results:
Total ECM effort:0.930 GHz-days
Estimated T-Level:1.923
DigitsB1CompleteFacMiss
20110000.38568.071%
25500000.03696.504%
302500000.00299.776%


ECM Summary

B1B2factorcurvesGHz-days
50000500000090.828
50000500000010.101


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computers964F2D04C39373380.212


PRP results:
dateuseridcompidcofactorsres64
2017-10-20Oliver KruseGTX-2
182227304392166718449
C0EAFC2AC0A27763
2017-12-05kkmrkkblmbrbkc4.xlarge
182227304392166718449
C0EAFC2AC0A27763


CERT results:
No CERT results for M2742893


P-1 factor-bounds graph:
B1 = 300000, B2 = 235127970 (P-1 stage 2)
B1 = 185000, B2 = 4625000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 185000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (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)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
263
262
261
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=1.92 ~= -10-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00