is 2 12379 - 1
has 3727 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
Actual2672,400.348879.1045 %1000000000001204171990467946501,876,193.898840.5690 %1,878,594.247587.5816 %
Target2440.000268.1818 %500500000.00001.3491 %0.000268.6111 %
Difference+23+2,400.3486+10.9227 %+99999999500+120417199046744650+1,876,193.8988+39.2199%+1,878,594.2473+18.9705 %

Known prime factors (2 factors, 52.3 bits, 0.42254345% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12379123791616.9185
5
-157.053e-133.483e-105.820e-10
12379449968975031135.3891817469
32 × 89 × 2269
2008-08-268922693.698e-75.942e-86.591e-8

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-09kkmrkkblmbrbkManual testing1000000001000000000012
skipped known factor: 123791
skipped known factor: 44996897503
---41.684%
2023-05-13ANONYMOUST5810100000000000120417199046794650
skipped known factor: 123791
skipped known factor: 44996897503
--3,044,19079.214%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
35.389
11


ECM factoring results:
Total ECM effort:540.130 GHz-days
Estimated T-Level:38.974
DigitsB1CompleteFacMiss
2011000824.6190.000%
2550000193.0090.000%
3025000038.3310.000%
3510000006.0470.236%
4030000000.79545.168%
45110000000.09091.395%
50440000000.00999.102%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001560.029
1000001000000010.000
2000002000000010.001
250000250000001300.122
4000004000000010.001
50000050000000250.047
10000001000000001,5176.156
30000003000000003785.981
3000000229728749251,375524.8
110000002200000000502.999


Lucas-Lehmer results:
No L-L results for M12379


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
123791
44996897503
352D279FDEEA2D05
2017-09-21Oliver KruseManual testing
123791
44996897503
352D279FDEEA2D05
2017-10-12kkmrkkblmbrbkManual testing
123791
44996897503
352D279FDEEA2D05
2020-04-17Oliver KruseManual testing
123791
44996897503
6093F89D0CF8267E


CERT results:
No CERT results for M12379


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
101
102
103
104
105
106
107
108
109
1010
1011
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=38.97 ~= 113-bit
250
260
270
280
290
2100
2110
2120
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00