is 2 52691 - 1
has 15862 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actualunknown10000000020000000000.291047.2912%0.291047.2912%47.2912%
PrimeNet2400.000060.0000%550100000.00004.8846%0.000061.9538%1.9538%
GPU722440.000063.6364%500100000.00002.0708%0.000064.3894%0.7530%
Difference-440.0000-63.6364%+99999500+1999990000+0.2910+45.2203%+0.2910-17.0982%-17.0982%

Known prime factors (2 factors, 142.7 bits, 0.27078808% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
526917692887722.87573
73
2011-02-031731.077e-117.039e-91.109e-8
52691116186315835793837363211905707350208737119.80611025252494334311112259390190673
34 × 19 × 1493 × 1561963151549 × 3071986709851
2020-10-18156196315154930719867098513.379e+122,351.04,545.3

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
52691893808198671072546131567147661300224955516943142.681
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-25T03:26:36kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 7692887
--0.291--39.590%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-27T18:13:40ATHcolab-Pp115000000150000000027--0.146
2021-11-12T12:59:25fbaurubuntu50000000400000000065--0.410


Trial Factoring results:
No TF results for M52691


ECM factoring results:

Old Calculation Method

Total ECM effort:15.803 GHz-days
Estimated T-Level:31.924
DigitsB1CurvesCompleteFacMiss
20110001473 / 10014.7300.000%
25500001473 / 2805.2610.514%
302500001192 / 6401.86215.506%
351000000608 / 15800.38568.050%

New Calculation Method

Total ECM effort:15.803 GHz-days
Estimated T-Level:31.924
DigitsB1CompleteFacMiss
2011000144.5880.000%
255000025.2270.000%
302500003.5122.983%
3510000000.39667.269%
4030000000.03796.342%
45110000000.00399.696%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.289
250000250000005843.004
100000010000000054611.23
1000000100000000621.276


Lucas-Lehmer results:
No L-L results for M52691


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:02:20Oliver KruseOllaptop
7692887
358A55E8C26B02__no
2017-09-21T20:27:58Oliver KruseManual testing
7692887
358A55E8C26B02__no
2017-10-13T06:11:13kkmrkkblmbrbkManual testing
7692887
358A55E8C26B02__no
2020-04-17T13:45:18Oliver KruseAddPrpType5
7692887
E0FB7EEA833A2B__no
2020-10-18T11:04:17M Millercruncher
7692887
1161863158357938373632119057073502087
E0FB7EEA833A2B0Cno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-11-12T12:59:25+00:00