is 2 6351853 - 1
has 1912099 decimal digits
takes 1.126 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
Actual2674.678065.6716%1090001905075902.69376.8725%7.371768.0309%
Target2662.325165.1515%4500050000000.08092.5695%2.406066.0469%
Difference+1+2.3529+0.5201%+64000+185507590+2.6128+4.3030%+4.9657+1.9839%

Known prime factors (3 factors, 119.5 bits, 0.00188204% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6351853591357514311135.7834655
5 × 72 × 19
-49497.261e-101.259e-52.563e-5
63518531629504368631237.24612827
101 × 127
2008-09-081011275.121e-92.632e-55.282e-5
63518531005869278115211546.5157917920
25 × 5 × 17 × 41 × 71
2014-02-1341712.709e-61.096e-52.144e-5

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-11-11Stef42z8g4109000190507590-
skipped known factor: 59135751431
skipped known factor: 162950436863
skipped known factor: 100586927811521
--2.694--6.872%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-08Will EdgingtonManual testing??37.246122.23801e-94.6019.14811e-9
2014-02-13TJAOIManual testing??46.515151.23307e-64.6015.04031e-6


ECM factoring results:
No ECM results for M6351853


Lucas-Lehmer results:
No L-L results for M6351853


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-16kkmrkkblmbrbkc4.xlarge
59135751431
162950436863
100586927811521
B81D435BB2D555__no
2018-09-27ANONYMOUS
59135751431
162950436863
100586927811521
B81D435BB2D555__no


P-1 factor-bounds graph:
B1 = 109000, B2 = 190507590 (P-1 stage 2)
B1 = 109000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
2
this exponent TF target: 66
TF double-checked to: 67.9
250
260
270
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Last modified: 2023-11-11T20:10:32+00:00