is 2 5718253 - 1
has 1721366 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-LDE335373E5307B84double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2675.196365.6716 %6500010887500.02772.4593 %5.224066.5159 %
Target2662.582765.1515 %3600040000000.05772.2728 %2.640465.9435 %
Difference+1+2.6136+0.5201 %+29000-2911250-0.0300+0.1865%+2.5836+0.5723 %

Known prime factors (1 factor, 78.3 bits, 0.00136952% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
57182533753563630790350351950632478.31332820895042509927
3 × 12889 × 848808933781
2015-11-071288984880893378110,70510,58919,778

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-06-06Carsten Kossendeymother30000405000--0.0131.818%
2011-05-16USAFSSP4_26006500010887506--0.0312.779%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-21ANONYMOUSv4_computers212610.027
1998-05-23ANONYMOUSv4_computers212620.054
2009-02-05GrunwalderGIMPManual testing2622630.172
2014-10-16NesowaManual testing2632640.343
2014-10-28lycornManual testing2642650.653
2015-09-05snme2pm1Manual testing2652661.307


ECM factoring results:
Total ECM effort:1.289 GHz-days
Estimated T-Level:0.962
DigitsB1CompleteFacMiss
20110000.19282.505%
25500000.01898.236%
302500000.00199.888%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.808
50000500000020.480


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21ANONYMOUSv4_computersDE335373E5307B840.903
2000-10-07ANONYMOUSv4_computersDE335373E5307B840.903


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
375356363079035035195063
8F9CD5909976167E
2018-07-24ATHec2-PRPCFDC
375356363079035035195063
8F9CD5909976167E


CERT results:
No CERT results for M5718253


P-1 factor-bounds graph:
B1 = 65000, B2 = 1088750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 30000, B2 = 405000 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
103
104
105
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
266
265
264
263
262
261
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=0.96 ~= -13-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00