is 2 257837 - 1
has 77617 decimal digits
takes 0.002 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
Actual267115.243073.1343%30000000100358126969105,417.947323.4464%5,533.190379.4333%
Target2440.000059.0909%45001200000.000110.3882%0.000163.3406%
Difference+23+115.2430+14.0434%+29995500+10035812576910+5,417.9472+13.0581%+5,533.1902+16.0927%

Known prime factors (4 factors, 209.8 bits, 0.08137698% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2578371547023720.5613
3
-135.421e-131.099e-82.017e-8
25783794884017826.500184
23 × 23
2008-07-218233.605e-118.736e-81.613e-7
257837318083193431134.88961683
3 × 29 × 709
2008-07-21297091.199e-86.544e-77.106e-7
25783731108227954713429674648484340507562774339127.871603253760218925710325680261958283
32 × 13 × 23 × 127 × 30949 × 79769 × 1461329 × 489275925731
2022-04-2914613294892759257315.369e+11264.14493.32

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-18Oliver KruseOllaptop30000000300000000024-
skipped known factor: 1547023
skipped known factor: 94884017
skipped known factor: 31808319343
--1.901--12.597%
2022-04-29Oliver KruseThreadripper-PC300000001003581269691039127.8715,4180.00410,83623.446%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21J FeitsmaManual testing??34.889113.11828e-90.0046.48286e-9
2008-07-21J FeitsmaManual testing??26.50081.38094e-120.0042.87096e-12


ECM factoring results:
Total ECM effort:15.448 GHz-days
Estimated T-Level:27.682
DigitsB1CompleteFacMiss
201100038.1580.000%
25500005.2610.519%
302500000.53658.482%
3510000000.04395.771%
4030000000.00399.715%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002812.048
250000250000002208.017
2500003425000070.286
2500003646419170.294
25000036500000140.588
25000038500000281.204
25000023541903070.969
25000055133578572.041


Lucas-Lehmer results:
No L-L results for M257837


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptop
1547023
94884017
31808319343
9EE5DC2ECF33ED__no
2017-09-22Oliver KruseManual testing
1547023
94884017
31808319343
9EE5DC2ECF33ED__no
2017-10-12Oliver KruseGTX-19EE5DC2ECF33ED__no
2017-11-06kkmrkkblmbrbkc4.xlarge
1547023
94884017
31808319343
9EE5DC2ECF33ED__no
2020-04-17Oliver KruseAddPrpType5
1547023
94884017
31808319343
8E88DFA397B508__no
2022-04-29aperson12012_VP113
1547023
94884017
31808319343
311082279547134296746484843405075627743
8E88DFA397B508BAno
2022-04-30Oliver KruseServer-Phi
1547023
94884017
31808319343
311082279547134296746484843405075627743
8E88DFA397B508BAno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-07T04:32:39+00:00