is 2 12373 - 1
has 3725 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
Actual2672,401.512879.1045 %1000000000001204171990467946501,876,193.898840.5684 %1,878,595.411587.5815 %
Target2440.000268.1818 %500500000.00001.3489 %0.000268.6110 %
Difference+23+2,401.5126+10.9227 %+99999999500+120417199046744650+1,876,193.8988+39.2195%+1,878,595.4113+18.9704 %

Known prime factors (2 factors, 65.5 bits, 0.52969254% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1237322825710411031.08892240
24 × 5 × 1153
-1611532.312e-82.229e-83.365e-8
12373234821475431134.451948927
3 × 7 × 73 × 619
2008-08-26736191.850e-72.938e-84.249e-8

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-09-09kkmrkkblmbrbkManual testing1000000001000000000012
skipped known factor: 2282571041
skipped known factor: 23482147543
---41.683%
2023-05-13ANONYMOUST5810100000000000120417199046794650
skipped known factor: 2282571041
skipped known factor: 23482147543
--3,044,19079.213%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
34.451
11


ECM factoring results:
Total ECM effort:86.014 GHz-days
Estimated T-Level:39.962
DigitsB1CompleteFacMiss
20110001,086.4190.000%
2550000267.3200.000%
3025000050.8900.000%
3510000007.8160.040%
4030000000.99237.069%
45110000000.10989.648%
50440000000.01098.961%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001560.029
1000001000000010.000
2000002000000010.001
250000250000001300.122
4000004000000010.001
50000050000000250.047
10000001000000001,5176.156
30000003000000004,06279.66


Lucas-Lehmer results:
No L-L results for M12373


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
2282571041
23482147543
B05BF8F607E18642
2017-09-21Oliver KruseManual testing
2282571041
23482147543
B05BF8F607E18642
2017-10-12kkmrkkblmbrbkManual testing
2282571041
23482147543
B05BF8F607E18642
2020-04-17Oliver KruseManual testing
2282571041
23482147543
0C5831A0753BB878


CERT results:
No CERT results for M12373


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
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1016
1017
1018
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: 2024-02-29T14:28:04+00:00