is 2 56131 - 1
has 16898 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
Actual267529.367376.1194 %62000000077248347649473072,384.855830.8139 %72,914.223183.4779 %
Target2440.000063.6364 %500500000.00002.1086 %0.000064.4031 %
Difference+23+529.3673+12.4830 %+619999500+772483476444730+72,384.8557+28.7053%+72,914.2230+19.0748 %

Known prime factors (2 factors, 145.0 bits, 0.25839590% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
56131600259058414091445.771534694784
27 × 13 × 321331
1999-08-311283213318.350e-53.032e-55.624e-5
561317640335263576117158342771640973099.2706805807186381961089543008
25 × 3 × 7 × 347 × 506138753 × 57664868029
2016-08-11506138753576648680292.287e+126.226410.092

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-02kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 60025905841409
---39.707%
2023-04-23JacobZGreatLakes620000000772483476494730
skipped known factor: 60025905841409
skipped known factor: 764033526357611715834277164097
--113,57870.941%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-03ATHcolab-Pp215000000150000000027--0.176


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-08-31ANONYMOUSv4_computers??45.77114


ECM factoring results:
Total ECM effort:102.727 GHz-days
Estimated T-Level:32.983
DigitsB1CompleteFacMiss
2011000180.2660.000%
255000034.3990.000%
302500004.9920.679%
3510000000.59755.068%
4030000000.06094.196%
45110000000.00599.489%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003160.356
25000025000000490.303
250000250000005293.273
100000010000000045112.64
1000000324317565020.556
100000032638305305013.97
1829583496211215510043.00
238984066161195105028.63


Lucas-Lehmer results:
No L-L results for M56131


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
60025905841409
764033526357611715834277164097
85B8389290A1A093
2017-09-21Oliver KruseManual testing
60025905841409
764033526357611715834277164097
85B8389290A1A093
2017-10-02kkmrkkblmbrbkManual testing
60025905841409
764033526357611715834277164097
85B8389290A1A093
2017-12-07ATHxps
60025905841409
764033526357611715834277164097
85B8389290A1A093
2020-04-17Oliver KruseAddPrpType5
60025905841409
764033526357611715834277164097
0C9D74B67F7D823E
2024-02-03Wentao HuangManual testing
60025905841409
764033526357611715834277164097
0C9D74B67F7D823E


CERT results:
No CERT results for M56131


P-1 factor-bounds graph:
B1 = 620000000, B2 = 772483476494730 (P-1 stage 2)
B1 = 620000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
101
102
103
104
105
106
107
108
109
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=32.98 ~= 93-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-19T20:20:45+00:00