is 2 137077 - 1
has 41265 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
Actual267216.768173.1343 %10000000020000000000.942711.9975 %217.710876.3575 %
Target2440.000059.0909 %24002250000.00016.7325 %0.000161.8451 %
Difference+23+216.7681+14.0434 %+99997600+1999775000+0.9426+5.2650%+217.7107+14.5124 %

Known prime factors (1 factor, 28.2 bits, 0.02060487% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
137077318018641928.2451160
23 × 5 × 29
-8293.264e-104.236e-87.541e-8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2017-03-15kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 318018641
---41.359%


Trial Factoring results:
5758596061626364656667
No TF results for M137077


ECM factoring results:
Total ECM effort:13.742 GHz-days
Estimated T-Level:30.529
DigitsB1CompleteFacMiss
201100071.8080.000%
255000010.7210.002%
302500001.19030.436%
3510000000.10689.965%
4030000000.00899.214%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.942
2500002500000060510.35
1000000100000000362.449


Lucas-Lehmer results:
No L-L results for M137077


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
318018641
A6CCD407CE7FFAA6
2017-09-22Oliver KruseManual testing
318018641
A6CCD407CE7FFAA6
2017-10-13kkmrkkblmbrbkManual testing
318018641
A6CCD407CE7FFAA6
2020-04-17Oliver KruseAddPrpType5
318018641
A42F732A5DE7A9BC
2024-02-03Wentao HuangManual testing
318018641
A42F732A5DE7A9BC


CERT results:
dateuseridcompid
2024-02-03Naegi Makoto1035G1


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:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.53 ~= 85-bit
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290
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Last modified: 2024-03-13T02:15:48+00:00