is 2 31547 - 1
has 9497 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
Actual267941.893677.6119%20000000050000000000.368612.3677%942.262280.3808%2.7689%
PrimeNet2400.000062.5000%500100000.00004.1564%0.000064.0586%1.5586%
GPU722440.000165.9091%500100000.00001.7847%0.000166.5175%0.6084%
Difference+23+941.8935+11.7028%+199999500+4999990000+0.3686+10.5830%+942.2621+13.8633%+13.8633%

Known prime factors (3 factors, 154.2 bits, 0.48863979% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
315475362991722.35585
5 × 17
-5171.804e-114.516e-98.128e-9
31547333388697928.3135284
22 × 1321
2008-08-26413211.296e-96.051e-81.073e-7
315471418323631866786134100875518735332103.484224795326317365539369967908
22 × 17 × 37 × 42260641 × 2114173188158693
2017-07-224226064121141731881586935.984e+1292,000171,830

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3154717879605815127271650.667
315477606456872788887236107788499097745282338125.839
31547472853067552375506825558155750360754904140131.797
315472535906745605781871725906959265782975303894163147154.151
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-09T01:59:41kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 5362991
skipped known factor: 333388697
--0.369--12.368%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:59:00ANONYMOUSManual testing??28.31391.62919e-104.02078e-53.76968e-10


ECM factoring results:

Old Calculation Method

Total ECM effort:19.335 GHz-days
Estimated T-Level:34.816
DigitsB1CurvesCompleteFacMiss
20110002388 / 10023.8800.000%
25500002388 / 2808.5290.019%
302500002107 / 6403.2923.708%
3510000001522 / 15800.96338.152%

New Calculation Method

Total ECM effort:19.335 GHz-days
Estimated T-Level:34.816
DigitsB1CompleteFacMiss
2011000275.2430.000%
255000051.3530.000%
302500007.5760.051%
3510000000.89440.896%
4030000000.08791.686%
45110000000.00799.277%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.161
250000250000005851.681
10000001000000006647.631
10000001000000008589.86


Lucas-Lehmer results:
No L-L results for M31547


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:41:50Oliver KruseOliver-PC
5362991
333388697
14183236318667861341008755187353
E5821A8D6A6CC0B7no
2017-09-21T20:27:24Oliver KruseManual testing
5362991
333388697
14183236318667861341008755187353
E5821A8D6A6CC0B7no
2017-10-02T10:35:57kkmrkkblmbrbkManual testing
5362991
333388697
14183236318667861341008755187353
E5821A8D6A6CC0__no
2017-12-07T03:12:58ATHxps
5362991
333388697
14183236318667861341008755187353
E5821A8D6A6CC0__no
2020-04-17T13:47:36Oliver KruseManual testing
5362991
333388697
14183236318667861341008755187353
15A86878853284__no


P-1 factor-bounds graph:
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (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
1016
TF factor-bounds graph:
267
2
220
230
240
250
260
270
280
290
2100
2110
Last modified: 2020-04-17T13:47:36+00:00