is 2 42689 - 1
has 12851 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267696.055676.1194 %85000000060244271737650033,976.927730.5038 %34,672.983383.4039 %
Target2440.000163.6364 %500500000.00001.9491 %0.000164.3451 %
Difference+23+696.0555+12.4830 %+849999500+602442717326500+33,976.9277+28.5547%+34,672.9833+19.0588 %

Known prime factors (3 factors, 128.4 bits, 0.30080667% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
42689682682489929.3477996
22 × 1999
-419992.900e-91.167e-72.106e-7
4268911437236891030.09113396
22 × 17 × 197
2008-08-26171976.365e-92.775e-83.581e-8
426895796041805586489333132168.9746788683039643104
25 × 13859 × 15307478533
2009-04-2213859153074785332,325.00.86331.6124

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-19kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 682682489
skipped known factor: 1143723689
---39.203%
2023-04-15JacobZMServer850000000602442717376500
skipped known factor: 682682489
skipped known factor: 1143723689
skipped known factor: 579604180558648933313
--56,45270.187%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
30.091
10


ECM factoring results:
Total ECM effort:26.270 GHz-days
Estimated T-Level:35.552
DigitsB1CompleteFacMiss
2011000331.0380.000%
255000062.6860.000%
302500009.2410.010%
3510000001.11032.961%
4030000000.11089.545%
45110000000.00999.079%


ECM Summary

B1B2factorcurvesGHz-days
10.006
5000050000002740.186
250000250000005832.171
10000001000000001,60523.91


Lucas-Lehmer results:
No L-L results for M42689


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
682682489
1143723689
579604180558648933313
792436364F14B3A3
2017-09-21Oliver KruseManual testing
682682489
1143723689
579604180558648933313
792436364F14B3A3
2017-11-06kkmrkkblmbrbkc4.xlarge
682682489
1143723689
579604180558648933313
792436364F14B3A3
2020-04-17Oliver KruseManual testing
682682489
1143723689
579604180558648933313
15E335A6CADC5D47


CERT results:
No CERT results for M42689


P-1 factor-bounds graph:
B1 = 850000000, B2 = 602442717376500 (P-1 stage 2)
B1 = 850000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.55 ~= 101-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00