is 2 115361 - 1
has 34728 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
Actual267257.573374.6269 %10000000020000000000.770511.8471 %258.343977.6329 %
Target2440.000061.3636 %18001400000.00005.3971 %0.000163.4489 %
Difference+23+257.5733+13.2632 %+99998200+1999860000+0.7705+6.4500%+258.3438+14.1840 %

Known prime factors (2 factors, 92.1 bits, 0.07981558% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1153611059540026171236.625459228
22 × 3 × 72 × 11 × 71
-49711.111e-71.901e-73.776e-7
115361492646033388099511755.451213523648975
52 × 7 × 13 × 93856549
2011-10-0525938565490.04320.01940.0362

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-02-10kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 105954002617
skipped known factor: 49264603338809951
---41.043%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2022-05-10LordJuliusManual testing257263


ECM factoring results:
Total ECM effort:13.012 GHz-days
Estimated T-Level:30.648
DigitsB1CompleteFacMiss
201100077.0030.000%
255000011.8550.001%
302500001.37525.290%
3510000000.13087.847%
4030000000.01098.969%


ECM Summary

B1B2factorcurvesGHz-days
10.027
5000050000002660.727
250000250000005978.158
1000000100000000754.100


Lucas-Lehmer results:
No L-L results for M115361


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
105954002617
49264603338809951
CB2CEDFEFB8DAD03
2017-09-22Oliver KruseManual testing
105954002617
49264603338809951
CB2CEDFEFB8DAD03
2017-10-13kkmrkkblmbrbkManual testing
105954002617
49264603338809951
CB2CEDFEFB8DAD03
2020-04-17Oliver KruseAddPrpType5
105954002617
49264603338809951
57E0815E245A35F1
2024-02-03Wentao HuangManual testing
105954002617
49264603338809951
57E0815E245A35F1


CERT results:
dateuseridcompid
2024-02-03Edamianwaay


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
263
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.65 ~= 85-bit
250
260
270
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290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00