is 2 10136719 - 1
has 3051457 decimal digits
takes 2.957 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
Actual26911.777765.2174%----11.777765.2174%
Target2685.880164.7059%7000016000000.06492.6525%5.945065.6421%
Difference+1+5.8976+0.5115%-70000-1600000-0.0649-2.6525%+5.8327-0.4247%

Known prime factors (5 factors, 203.0 bits, 0.00200311% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
10136719243281257927.85812
22 × 3
-441.768e-121.692e-63.443e-6
10136719125087112471133.542617
617
2008-09-0816171.280e-101.462e-52.661e-5
10136719228076177511134.4091125
32 × 53
2008-09-081251252.808e-105.286e-50.0001
1013671910412437756811339.92151360
25 × 3 × 5 × 107
2008-09-08321078.069e-91.526e-52.754e-5
101367191841075648160556231992167.3199081220699521
32 × 17 × 167 × 355415471
2022-02-061673554154713.05968.189415.295

26 Composite Factors:
P-1 results:
No P-1 results for M10136719


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??39.921138.44477e-106.3601.81664e-9
2008-09-08Will EdgingtonManual testing??33.542111.50765e-116.3603.24325e-11
2008-09-08Will EdgingtonManual testing??34.409115.49790e-116.3601.18271e-10
2022-02-06ViliamFManual testing26726867.319210.1286.0090.261
2022-02-06ViliamFManual testing267268
skipped known factors(?)
--2.949--
2023-01-08LordJuliusManual testing268269--5.898--


ECM factoring results:
No ECM results for M10136719


Lucas-Lehmer results:
No L-L results for M10136719


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-21Niels_Mache_NextcloudSuperDry-X
243281257
12508711247
22807617751
1041243775681
EF7EE47F8C0AA6__no
2021-02-01Oliver KruseIOS-5
243281257
12508711247
22807617751
1041243775681
EF7EE47F8C0AA6B0no
2022-02-17GANLMS-11
243281257
12508711247
22807617751
1041243775681
184107564816055623199
EF7EE47F8C0AA6B0no


P-1 factor-bounds graph:
100
101
102
103
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
269
268
2
220
230
240
250
260
270
280
290
2100
Last modified: 2023-01-08T23:43:00+00:00