is 2 13276919 - 1
has 3996751 decimal digits
takes 5.891 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-
PRPBC776A9BAF935749PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.238064.1791%3000002101291507.54778.8882%9.785767.3629%3.1838%
PrimeNet2640.268162.5000%6000017000000.09614.3505%0.364264.1314%1.6314%
GPU722684.489464.7059%9000024000000.13893.1787%4.628265.8278%1.1219%
Difference-1-2.2513-0.5268%+210000+207729150+7.4088+5.7095%+5.1575+1.5352%+2.0619%

Known prime factors (2 factors, 144.0 bits, 0.00108495% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1327691954398761761425206011962.238204862143700
22 × 52 × 43 × 47642359
2000-09-0843476423590.07191.66993.1189
1327691942368834382721768962259992581.809159558231780738321
3 × 521 × 5741 × 56629 × 314003
2021-08-195662931400359,5690.04550.0741

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
132769192304812127694962487542693332472826800930539944144.048
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-06-20T03:47:13nordisweet16_30.8b14300000300000---0.193--2.166%
2022-06-22T14:57:55nordisweet16_30.8b14300000210129150-
skipped known factor: 5439876176142520601
skipped known factor: 4236883438272176896225999
--7.548--8.888%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-19T22:05:09ATHec2-P_11000001000000027P-12581.8090.403


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-09-08T00:00:00ANONYMOUSv4_computers??62.238190.02612.140.053


ECM factoring results:
No ECM results for M13276919


Lucas-Lehmer results:
No L-L results for M13276919


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-29T03:38:25Poaooffice-CN2
5439876176142520601
4236883438272176896225999
BC776A9BAF935749no


P-1 factor-bounds graph:
B1 = 300000, B2 = 210129150 (P-1 stage 2)
B1 = 100000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
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TF factor-bounds graph:
267
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2100
Last modified: 2022-06-29T03:38:25+00:00