is 2 1412597 - 1
has 425235 decimal digits
takes 0.054 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6FD051F268970A4Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26721.035068.6567 %2000000600000000.28577.2093 %21.320670.9164 %
Target2600.108765.0000 %60003500000.00141.2450 %0.110165.4358 %
Difference+7+20.9262+3.6567 %+1994000+59650000+0.2843+5.9643%+21.2105+5.4806 %

Known prime factors (1 factor, 65.7 bits, 0.00465151% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1412597602262762413091204412065.70721317571905260
22 × 5 × 1065878595263
2015-03-03510658785952635.16473,215.06,004.7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21Xyzzyv4_computers15000232500--0.0012.353%
2003-09-21Team Prime Ribv4_computers15000232500--0.0012.353%
2009-07-15markrlounge20000050000006--0.0307.169%
2014-11-06JossManual testing245437245437--0.0163.263%
2015-01-14JossManual testing368155368155--0.0243.801%
2015-02-14JossManual testing404970404970--0.0263.933%
2015-02-21alpertronManual testing20000006000000012--0.33412.600%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-10-20ANONYMOUSv4_computers212570.014
2003-07-13ANONYMOUSv4_computers212580.027
2009-02-16Sturle Sundegicy.ifi2602610.109
2011-05-07GrunwalderGIMPManual testing212631.130


ECM factoring results:
Total ECM effort:29.385 GHz-days
Estimated T-Level:25.704
DigitsB1CompleteFacMiss
201100014.6540.000%
25500001.65119.189%
302500000.14186.866%
3510000000.01099.021%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024913.40
50000500000020.094
250000350000005015.89


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computers6FD051F268970A4E0.054


PRP results:
dateuseridcompidcofactorsres64
2017-09-30Oliver KruseGTX-1
60226276241309120441
B80E079331FAAFA8
2017-10-26kkmrkkblmbrbkc4.xlarge
60226276241309120441
B80E079331FAAFA8


CERT results:
No CERT results for M1412597


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 200000, B2 = 5000000 (P-1 stage 2)
B1 = 404970 (P-1 stage 1)
B1 = 368155 (P-1 stage 1)
B1 = 245437 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 15000, B2 = 232500 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.7 ~= 69-bit
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Last modified: 2024-02-09T03:30:02+00:00