is 2 6101 - 1
has 1837 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
Actual2674,870.335680.5970 %400000000001696175504786763001,138,986.512939.3127 %1,143,856.848588.2249 %
Target2440.000470.4545 %500500000.00001.0844 %0.000470.7749 %
Difference+23+4,870.3352+10.1425 %+39999999500+169617550478626300+1,138,986.5129+38.2284%+1,143,856.8481+17.4499 %

Known prime factors (3 factors, 131.3 bits, 2.15271363% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
61017906897722.915648
23 × 34
-81811.044e-109.983e-92.032e-8
6101807711391929.58966195
32 × 5 × 1471
-914711.557e-81.093e-81.850e-8
61015384331520798588108685292478.83344126631050635863864
23 × 34 × 317 × 1487 × 2131 × 6673 × 10159
-66731015918,686,4388.459e-71.674e-6

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-07-08ViliamF31000000000201000000000
skipped known factor: 7906897
skipped known factor: 807711391
skipped known factor: 538433152079858810868529
--1.46648.638%
2023-07-28ANONYMOUSGreatLakes40000000000169617550478676300
skipped known factor: 7906897
skipped known factor: 807711391
skipped known factor: 538433152079858810868529
--4,287,95078.616%


Trial Factoring results:
5758596061626364656667
No TF results for M6101


ECM factoring results:
Total ECM effort:149.615 GHz-days
Estimated T-Level:39.385
DigitsB1CompleteFacMiss
2011000766.7000.000%
2550000202.3550.000%
3025000040.7210.000%
3510000006.5630.141%
4030000000.87741.600%
45110000000.10390.190%
50440000000.01198.915%
551100000000.00199.891%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,82120.32
11000000037246794284705129.3


Lucas-Lehmer results:
No L-L results for M6101


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC9F6EEAEDF13082__
2017-10-02kkmrkkblmbrbkManual testing
7906897
807711391
538433152079858810868529
9F6EEAEDF1308242
2017-12-07ATHManual testing
7906897
807711391
538433152079858810868529
9F6EEAEDF1308242
2020-04-17Oliver KruseIOS-1
7906897
807711391
538433152079858810868529
4B72F409887A4FC0
2024-02-03Wentao HuangManual testing
7906897
807711391
538433152079858810868529
4B72F409887A4FC0


CERT results:
No CERT results for M6101


P-1 factor-bounds graph:
B1 = 40000000000, B2 = 169617550478676300 (P-1 stage 2)
B1 = 40000000000 (P-1 stage 1)
B1 = 1000000000, B2 = 201000000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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105
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107
108
109
1010
1011
100
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105
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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=39.39 ~= 114-bit
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2100
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2120
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Last modified: 2024-03-13T02:15:48+00:00