is 2 2815493 - 1
has 847548 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-L974E2767491BD3FFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.553767.1642 %3600003048021901.89798.0561 %12.451669.8095 %
Target2630.566965.0794 %1500013000000.00951.7916 %0.576465.7050 %
Difference+4+9.9868+2.0848 %+345000+303502190+1.8884+6.2645%+11.8752+4.1045 %

Known prime factors (1 factor, 73.6 bits, 0.00261398% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2815493142813429944700132984812373.5972536206446698680
23 × 3 × 5 × 7 × 3019293388927
2016-02-1883019293388927679.4018,42334,408

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.683%
2010-11-13JossManual testing1500015000--0.0020.515%
2010-11-16markrtiny10000021000006--0.0264.422%
2023-01-29USAFSS6917th_Scty_Sq360000304802190--2.09111.355%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.055
2009-02-13Sturle Sundeginglo.ifi2602610.055
2012-02-20markroldgamer2612620.109
2013-01-10dbaughManual testing2622630.349
2015-04-21VictordeHollanderManual testing2632640.697
2015-04-21VictordeHollanderManual testing2642651.327
2016-02-12ramgeisManual testing2652662.654


ECM factoring results:
Total ECM effort:1.408 GHz-days
Estimated T-Level:2.885
DigitsB1CompleteFacMiss
20110000.57756.162%
25500000.05394.802%
302500000.00399.664%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.103
50000500000030.305


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06jburkelv4_computers974E2767491BD3FF0.217


PRP results:
dateuseridcompidcofactorsres64
2017-10-21Oliver KruseGTX-1
14281342994470013298481
B7A56A3DB37F12F4
2017-12-06kkmrkkblmbrbkc4.xlarge
14281342994470013298481
B7A56A3DB37F12F4


CERT results:
No CERT results for M2815493


P-1 factor-bounds graph:
B1 = 360000, B2 = 304802190 (P-1 stage 2)
B1 = 360000 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
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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this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=2.88 ~= -7-bit
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Last modified: 2024-02-29T14:28:04+00:00