is 2 5716649 - 1
has 1720883 decimal digits
takes 0.903 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L2A93FFA06FAEBA4Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2675.197865.6716 %6500010887500.02772.4592 %5.225466.5158 %
Target2662.583465.1515 %3600040000000.05772.2727 %2.641165.9435 %
Difference+1+2.6144+0.5201 %+29000-2911250-0.0300+0.1865%+2.5843+0.5723 %

Known prime factors (1 factor, 90.1 bits, 0.00157559% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
571664913004083655871583455861379992890.071113738692509121895151
3 × 37 × 1024672905487584641
2015-11-0737102467290548758464143,861,9791.278e+102.388e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-09-08ANONYMOUSv4_computers2000020000--0.0050.450%
2011-02-10USAFSSP4_26006500010887506--0.0312.778%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-11ANONYMOUSv4_computers212620.054
2009-04-05GrunwalderGIMPManual testing2622630.172
2014-10-16NesowaManual testing2632640.343
2014-10-28lycornManual testing2642650.654
2015-09-05snme2pm1Manual testing2652661.307


ECM factoring results:
Total ECM effort:1.201 GHz-days
Estimated T-Level:0.962
DigitsB1CompleteFacMiss
20110000.19282.505%
25500000.01898.236%
302500000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.720
50000500000020.480


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-18ANONYMOUSv4_computers2A93FFA06FAEBA4C0.903
2000-09-29ANONYMOUSv4_computers2A93FFA06FAEBA4C0.903


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
1300408365587158345586137999
A4FD31CCD2F21498
2018-07-28Luigi Morelli
1300408365587158345586137999
A4FD31CCD2F21498


CERT results:
No CERT results for M5716649


P-1 factor-bounds graph:
B1 = 65000, B2 = 1088750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.96 ~= -13-bit
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Last modified: 2024-02-29T14:28:04+00:00