is 2 2362589 - 1
has 711211 decimal digits
takes 0.160 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L36401AB9AC565C36double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.576867.1642 %2000000600000000.50557.6030 %13.082369.6607 %
Target2630.675565.0794 %100007000000.00471.2707 %0.680265.5231 %
Difference+4+11.9013+2.0848 %+1990000+59300000+0.5008+6.3323%+12.4021+4.1376 %

Known prime factors (1 factor, 69.4 bits, 0.00293853% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23625897926757983057373296312169.425167755754027835
33 × 5 × 4933 × 251902537
2013-11-04493325190253750.5321.34482.5109

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.652%
2010-11-03JossManual testing2000020000--0.0020.614%
2010-12-23Oscar Östlin7501175011--0.0081.403%
2011-01-23Oscar Östlin9000018225006--0.0194.118%
2018-04-27alpertronManual testing20000006000000012---10.509%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-03-01ANONYMOUSv4_computers212590.016
2022-03-09LordJuliusManual testing21260
2009-01-14Sturle Sundeginjtje.ifi2602610.065
2012-05-30Sebastian HornbostelManual testing2612620.130


ECM factoring results:
Total ECM effort:6.553 GHz-days
Estimated T-Level:21.148
DigitsB1CompleteFacMiss
20110002.4788.394%
25500000.23079.488%
302500000.01598.555%


ECM Summary

B1B2factorcurvesGHz-days
10.266
500005000080.417
50000500000090.669
500007050000505.201


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computers36401AB9AC565C360.160


PRP results:
dateuseridcompidcofactorsres64
2017-10-12Oliver KruseGTX-1
792675798305737329631
6B1B9DEDCE2FCD16
2017-11-24kkmrkkblmbrbkc4.xlarge
792675798305737329631
6B1B9DEDCE2FCD16


CERT results:
No CERT results for M2362589


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 90000, B2 = 1822500 (P-1 stage 2)
B1 = 90000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.15 ~= 54-bit
250
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Last modified: 2024-02-09T03:30:02+00:00