is 2 12391 - 1
has 3731 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
Actual2672,398.024279.1045 %1000000000001204171990467946501,876,193.898840.5702 %1,878,591.922987.5818 %
Target2440.000268.1818 %500500000.00001.3495 %0.000268.6112 %
Difference+23+2,398.0240+10.9227 %+99999999500+120417199046744650+1,876,193.8988+39.2207%+1,878,591.9227+18.9706 %

Known prime factors (3 factors, 143.3 bits, 1.15629469% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12391198257617.5978
23
-881.412e-122.288e-94.656e-9
1239154049543825.6882181
3 × 727
2008-08-2637275.311e-101.214e-82.106e-8
1239112603639227492175890254279518233199.99250858039010137099064862721
11699 × 4347212497661090611579
2009-07-101169943472124976610906115791.350e+136.773e+101.265e+11

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-09kkmrkkblmbrbkManual testing1000000001000000000012
skipped known factor: 198257
skipped known factor: 54049543
---41.686%
2023-05-13ANONYMOUST5810100000000000120417199046794650
skipped known factor: 198257
skipped known factor: 54049543
--3,044,19079.215%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
25.688
8


ECM factoring results:
Total ECM effort:57.806 GHz-days
Estimated T-Level:39.963
DigitsB1CompleteFacMiss
20110001,086.5030.000%
2550000267.3620.000%
3025000050.9000.000%
3510000007.8170.040%
4030000000.99337.061%
45110000000.10989.646%
50440000000.01098.960%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000001530.029
1000001000000010.000
2000002000000010.001
250000250000001300.122
4000004000000010.001
50000050000000250.047
10000001000000001,5176.156
30000003000000004,06351.45


Lucas-Lehmer results:
No L-L results for M12391


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
198257
54049543
1260363922749217589025427951823
EA18A7FEF03C887D
2017-09-21Oliver KruseManual testing
198257
54049543
1260363922749217589025427951823
EA18A7FEF03C887D
2017-10-02kkmrkkblmbrbkManual testing
198257
54049543
1260363922749217589025427951823
EA18A7FEF03C887D
2017-12-07ATHManual testing
198257
54049543
1260363922749217589025427951823
EA18A7FEF03C887D
2020-04-17Oliver KruseManual testing
198257
54049543
1260363922749217589025427951823
97A4BB84D5BC79DC


CERT results:
No CERT results for M12391


P-1 factor-bounds graph:
B1 = 100000000000, B2 = 120417199046794650 (P-1 stage 2)
B1 = 100000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
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109
1010
1011
100
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109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=39.96 ~= 116-bit
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2100
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2120
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Last modified: 2024-03-13T02:15:48+00:00