is 2 13278319 - 1
has 3997173 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-
PRPFAFF633614B58125PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672.237864.1791%3000002101291507.54778.8883%9.785567.3630%3.1839%
PrimeNet2640.268162.5000%6000017000000.09614.3505%0.364164.1314%1.6314%
GPU722684.488964.7059%9000024000000.13893.1787%4.627865.8278%1.1219%
Difference-1-2.2511-0.5268%+210000+207729150+7.4088+5.7096%+5.1577+1.5352%+2.0620%

Known prime factors (3 factors, 170.1 bits, 0.00128069% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
132783191166367540971236.7634392
23 × 32 × 61
-9611.345e-97.613e-61.178e-5
1327831940617864613173950871961.817152948067497
29 × 97 × 601 × 90469
2016-06-02601904690.03040.00350.0059
1327831932788174585613210503212271.474123465080879640
23 × 33 × 5 × 19 × 797 × 7549331
2021-08-18797754933151.9080.26510.4942

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
132783194737535886832008134310149214393098.580
1327831938243062564316729074176023991513733108.237
132783191331785636231548293298532689358256517292741133.290
1327831915533515376305579203904099029959505414411627807319
19
52170.054
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-06-20T11:34:34nordisweet16_30.8b14300000300000-
skipped known factor: 116636754097
skipped known factor: 4061786461317395087
--0.193--2.166%
2022-06-22T19:23:43nordisweet16_30.8b14300000210129150-
skipped known factor: 116636754097
skipped known factor: 4061786461317395087
skipped known factor: 3278817458561321050321
--7.548--8.888%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-18T02:18:02ATHec2-P_11000001000000027P-12271.4740.403


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-06-02T16:28:40TJAOIManual testing261262*61.817190.00712.220.015


ECM factoring results:
No ECM results for M13278319


Lucas-Lehmer results:
No L-L results for M13278319


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-29T12:59:56kutensterra
116636754097
4061786461317395087
3278817458561321050321
FAFF633614B58125no


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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100
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TF factor-bounds graph:
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2100
Last modified: 2022-06-29T12:59:56+00:00