is 2 56431 - 1
has 16988 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-02-18, 0.0% done, ETC 2024-02-25
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267526.553176.1194 %62000000077248347649473072,384.855830.8208 %72,911.408883.4796 %
Target2440.000063.6364 %500500000.00002.1118 %0.000064.4043 %
Difference+23+526.5531+12.4830 %+619999500+772483476444730+72,384.8557+28.7090%+72,911.4088+19.0753 %

Known prime factors (1 factor, 45.9 bits, 0.08125311% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
56431635052421893831445.852562680461
7 × 191 × 420853
1999-08-311914208538.306e-53.975e-57.365e-5

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-02kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 63505242189383
---39.716%
2023-04-23JacobZGreatLakes620000000772483476494730
skipped known factor: 63505242189383
--113,57870.951%


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??45.85214


ECM factoring results:
Total ECM effort:118.387 GHz-days
Estimated T-Level:32.951
DigitsB1CompleteFacMiss
2011000177.8560.000%
255000034.0230.000%
302500004.9400.715%
3510000000.59055.417%
4030000000.05994.258%
45110000000.00599.495%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.327
250000250000005853.619
100000010000000044212.33
1000000236625753010.207
1000000413504091015082.28
215413344284304705019.62


Lucas-Lehmer results:
No L-L results for M56431


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
63505242189383
E6A0B4AB63DF020D
2017-09-21Oliver KruseManual testing
63505242189383
E6A0B4AB63DF020D
2017-09-21Oliver KruseManual testing
63505242189383
E6A0B4AB63DF020D
2017-11-06kkmrkkblmbrbkc4.xlarge
63505242189383
E6A0B4AB63DF020D
2020-04-17Oliver KruseAddPrpType5
63505242189383
D08C78FB393E07DE


CERT results:
No CERT results for M56431


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)
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.95 ~= 93-bit
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Last modified: 2024-02-22T09:58:04+00:00