is 2 2357969 - 1
has 709820 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE32E66932E38A34Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.601567.1642 %2000000600000000.50557.6015 %13.106969.6602 %
Target2620.260564.5161 %1300011000000.00711.8367 %0.267665.1679 %
Difference+5+12.3409+2.6481 %+1987000+58900000+0.4984+5.7647%+12.8393+4.4923 %

Known prime factors (1 factor, 74.1 bits, 0.00314359% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2357969205963686260541341469832374.1254367395972138339
7 × 22469 × 27767756033
2015-06-1322469277677560331,622.5148.20276.78

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.794%
2010-11-03JossManual testing2000020000--0.0020.725%
2010-12-22Oscar Östlin7501175011--0.0081.611%
2011-01-23Oscar Östlin9000018225006--0.0194.604%
2014-08-07JossManual testing117220117220--0.0122.010%
2014-10-22JossManual testing144440144440--0.0152.214%
2018-04-27alpertronManual testing20000006000000012---11.346%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2009-01-17Sturle Sundekinner.ifi2602610.065
2012-05-29Sebastian HornbostelManual testing2612620.130
2013-12-04Jerry HallettManual testing2622630.416
2015-03-06VictordeHollanderManual testing2632640.833
2015-03-06VictordeHollanderManual testing2642651.585


ECM factoring results:
Total ECM effort:6.415 GHz-days
Estimated T-Level:21.240
DigitsB1CompleteFacMiss
20110002.6606.993%
25500000.24878.041%
302500000.01698.436%


ECM Summary

B1B2factorcurvesGHz-days
500005000000120.942
50000500000030.273
500007050000505.199


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-15ANONYMOUSv4_computersE32E66932E38A34A0.159


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
20596368626054134146983
DCC48A741609DB72
2017-11-01Oliver KruseGTX-3
20596368626054134146983
DCC48A741609DB72


CERT results:
No CERT results for M2357969


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 = 144440 (P-1 stage 1)
B1 = 117220 (P-1 stage 1)
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
1010
1011
TF factor-bounds graph:
265
264
263
262
261
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.24 ~= 54-bit
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Last modified: 2024-02-29T14:28:04+00:00