is 2 13749971 - 1
has 4139154 decimal digits
takes 6.101 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
Actual2672.161064.1791 %3000002138020507.67648.9411 %9.837467.3819 %
Target2698.682765.2174 %90000110000000.44032.7901 %9.123066.1879 %
Difference-2-6.5217-1.0383 %+210000+202802050+7.2361+6.1510%+0.7144+1.1940 %

Known prime factors (4 factors, 240.8 bits, 0.00175119% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
137499711004771980840091546.5143653724
22 × 3 × 304477
-43044771.261e-60.01070.0199
1374997165448822462192411652.539237996220
22 × 5 × 7 × 11 × 154543
2014-08-16111545435.818e-50.00540.0101
13749971312034260186190502572064.7581134672430168
23 × 127 × 7499 × 148927
2018-01-0474991489270.28870.00980.0098
137499711487137517218870045734712476.9775407784195395285
5 × 11 × 103 × 3779 × 5651 × 44701
2022-08-095651447011,523.80.00500.0074

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-08-09nordisweet16_30.8b1430000030000012476.9770.2081.710%
2022-09-09nordisweet16_30.8b14300000213802050
skipped known factor: 100477198084009
skipped known factor: 6544882246219241
skipped known factor: 31203426018619050257
skipped known factor: 148713751721887004573471
--9.857.476%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2014-08-16TJAOIManual testing??
52.539
16
3.69230e-5
2018-01-04TJAOIManual testing264265*
64.758
20
0.206


ECM factoring results:
No ECM results for M13749971


Lucas-Lehmer results:
No L-L results for M13749971


PRP results:
dateuseridcompidcofactorsres64
2022-09-28Perigbreagan
100477198084009
6544882246219241
31203426018619050257
148713751721887004573471
77D8457855E09827


CERT results:
dateuseridcompid
2022-09-28curtiscwcm202--09l


P-1 factor-bounds graph:
B1 = 300000, B2 = 213802050 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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109
TF factor-bounds graph:
this exponent TF target: 69
TF double-checked to: 67
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Last modified: 2024-03-13T02:15:48+00:00