is 2 13714829 - 1
has 4128575 decimal digits
takes 6.085 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
Actual2684.346064.7059%3000002138020507.67648.1807%12.022467.5932%
Target2698.704965.2174%90000110000000.44032.7890%9.145266.1875%
Difference-1-4.3589-0.5115%+210000+202802050+7.2361+5.3917%+2.8772+1.4057%

Known prime factors (3 factors, 155.6 bits, 0.00113457% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
137148291481870541358631547.0745402439
32 × 7 × 29 × 2957
-2929571.858e-60.00010.0002
137148295041037633551911548.84118378055
5 × 89 × 41299
2008-10-0189412995.288e-60.00150.0027
137148299291371486429517111859.68933873449995
5 × 7 × 11 × 71 × 1239197
2015-12-087112391970.00890.04350.0811

4 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-08-02nordisweet16_30.8b14300000300000-
skipped known factor: 148187054135863
skipped known factor: 504103763355191
--0.193--1.930%
2022-08-30nordisweet16_30.8b14300000213802050-
skipped known factor: 148187054135863
skipped known factor: 504103763355191
skipped known factor: 929137148642951711
--7.676--8.181%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01markrManual testing??48.841152.55359e-621.018.81558e-6
2015-12-08TJAOIManual testing259260*59.689180.00321.000.011
2022-04-10LordJuliusManual testing2126447.074151.85794e-621.016.41403e-6
2022-04-10LordJuliusManual testing2126448.841155.28769e-621.011.82543e-5
2022-04-10LordJuliusManual testing2126459.689180.00921.000.031
2022-04-10LordJuliusManual testing264265--0.272--
2022-04-10LordJuliusManual testing265266--0.545--
2022-04-10LordJuliusManual testing266267--1.090--
2022-04-10LordJuliusManual testing267268--2.179--


ECM factoring results:
No ECM results for M13714829


Lucas-Lehmer results:
No L-L results for M13714829


PRP results:
dateuseridcompidcofactorsres64PRP
2022-09-19Ryan Propperboulder
148187054135863
504103763355191
929137148642951711
7C033BA169A60117no


P-1 factor-bounds graph:
B1 = 300000, B2 = 213802050 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
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105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
260
2
this exponent TF target: 69
TF double-checked to: 67.9
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Last modified: 2023-10-02T12:12:48+00:00