is 2 13278721 - 1
has 3997294 decimal digits
takes 5.892 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-
PRPC4CE0C3933640893PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.237764.1791%3000002101291507.54778.8883%9.785467.3630%3.1839%
PrimeNet2640.268062.5000%6000017000000.09614.3505%0.364164.1315%1.6315%
GPU722684.488864.7059%9000024000000.13893.1787%4.627665.8278%1.1219%
Difference-1-2.2510-0.5268%+210000+207729150+7.4088+5.7096%+5.1578+1.5352%+2.0620%

Known prime factors (4 factors, 189.6 bits, 0.00142805% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13278721398361631928.57015
3 × 5
-352.702e-122.000e-63.928e-6
1327872135577411600891341.694133964
22 × 107 × 313
2008-10-011073134.405e-87.606e-50.0001
132787211002876731397111546.5113776255
5 × 7 × 23 × 4691
2008-10-012346919.680e-70.00020.0003
1327872185256469747255363970572272.852321026662685568
27 × 3 × 7 × 29 × 101 × 577 × 70667
2021-08-1857770667113.930.00280.0046

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1327872114172675712088861451592270.264
13278721399507610411301648286412375.081
132787213567975825787018581141942792788.205
13278721339629063418188045648149011996731101.422
132787213033204515836930312363836450545807335114.546
1327872114213446693290885806110101723330904936116.775
1327872185501729710584052342352999393023052736119.363
132787211208312298085364889266597353856678636239706344143.116
1327872134060608500829421053689111215946673294170953745147.933
13278721304193023050149424602225657848482548365618183690349161.058
1327872112117882880107811957825413929056945884196404397812
55068793
58189.627
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-06-20T13:46:22nordisweet16_30.8b14300000300000-
skipped known factor: 398361631
skipped known factor: 3557741160089
skipped known factor: 100287673139711
skipped known factor: 8525646974725536397057
--0.193--2.166%
2022-06-22T20:40:08nordisweet16_30.8b14300000210129150-
skipped known factor: 398361631
skipped known factor: 3557741160089
skipped known factor: 100287673139711
skipped known factor: 8525646974725536397057
--7.548--8.888%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-18T13:27:47ATHec2-P_110000010000027P-12272.8520.090


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-10-01T00:44:00markrManual testing??46.511152.62065e-712.265.45537e-7
2008-10-01T00:44:00markrManual testing??41.694132.19852e-812.264.57663e-8


ECM factoring results:
No ECM results for M13278721


Lucas-Lehmer results:
No L-L results for M13278721


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-29T03:38:53Funky Waddlemain
398361631
3557741160089
100287673139711
8525646974725536397057
C4CE0C3933640893no


P-1 factor-bounds graph:
B1 = 300000, B2 = 210129150 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 100000 (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:
267
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-06-29T03:38:53+00:00