is 2 13669 - 1
has 4115 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672,173.817979.1045%10000000002480162209024503,864.500928.0891%6,038.318884.9738%5.8694%
PrimeNet2400.000065.0000%500100000.00003.3442%0.000066.1705%1.1705%
GPU722440.000268.1818%500100000.00001.3904%0.000268.6242%0.4424%
Difference+23+2,173.8178+10.9227%+999999500+248016220892450+3,864.5009+26.6987%+6,038.3187+16.3496%+16.3496%

Known prime factors (4 factors, 170.9 bits, 1.24992871% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13669300719618.19811
11
-1112.561e-124.418e-105.820e-10
13669956831619.86835
5 × 7
2008-08-26575.148e-121.461e-92.910e-9
136691640281720.64660
22 × 3 × 5
2008-08-26451.035e-111.159e-92.328e-9
13669572650727985097062575828085033607134112.141209470600623709511513581127015
5 × 7 × 19 × 29 × 69004912783 × 157406775883013
2021-09-30690049127831574067758830131.327e+132,471.14,580.6

11 Composite Factors:
exponentprime factorscomposite factordigitsbits*
136692877372614891238.066
136694932636620391238.844
1366915694717095111340.513
136694719699630124384091858.711
13669172206954268950403560740445903221293504940130.339
13669547929968708708407481492162430791315100140132.009
13669939308108750122994898941867147010087595140132.787
13669164772952260114083589426841594025133485586971946150.207
13669282467795155228236903014899346581726531510876946150.985
13669898759117003488935332149445684140809123707128146152.655
1366927027394290617218914414864915668913997887208385510
39
52170.853
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-12-14T18:21:02Lisander Viaene30.8b510000009113723048430-
skipped known factor: 300719
skipped known factor: 956831
skipped known factor: 1640281
--142.0--14.129%
2021-12-14T20:36:04Lisander Viaene30.8b510110110178389316415410-
skipped known factor: 300719
skipped known factor: 956831
skipped known factor: 1640281
--1,221--23.894%
2022-03-04T09:24:57Ethan O'ConnorManual testing1000000000248016220902450-
skipped known factor: 300719
skipped known factor: 956831
skipped known factor: 1640281
--3,865--28.089%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??20.64671.32720e-131.63985e-58.07323e-13
2008-08-26T19:58:00ANONYMOUSManual testing??19.86863.87100e-141.63985e-52.35469e-13


ECM factoring results:

Old Calculation Method

Total ECM effort:22.423 GHz-days
Estimated T-Level:36.364
DigitsB1CurvesCompleteFacMiss
20110003412 / 10034.1200.000%
25500003412 / 28012.1860.000%
302500003264 / 6405.1000.607%
3510000002703 / 15801.71118.063%
4030000001282 / 47000.27376.125%

New Calculation Method

Total ECM effort:22.423 GHz-days
Estimated T-Level:36.364
DigitsB1CompleteFacMiss
2011000511.0910.000%
2550000108.8990.000%
3025000018.9520.000%
3510000002.6926.775%
4030000000.32172.563%
45110000000.03396.730%
50440000000.00399.694%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001480.030
250000250000005510.567
50000050000000100.021
10000001000000001,4215.848
30000003000000001,23915.30
3000000528000000430.662


Lucas-Lehmer results:
No L-L results for M13669


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:11:28Oliver KruseOliver-PC
300719
956831
1640281
2136116207B1B2__no
2017-09-21T19:22:07Oliver KruseManual testing
300719
956831
1640281
2136116207B1B2__no
2017-10-12T16:01:15kkmrkkblmbrbkManual testing
300719
956831
1640281
2136116207B1B2__no
2020-04-17T13:48:10Oliver KruseManual testing
300719
956831
1640281
8E47A43A290BE5__no
2021-09-30T18:25:54H Michaelson
300719
956831
1640281
5726507279850970625758280850336071
8E47A43A290BE58Bno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 248016220902450 (P-1 stage 2)
B1 = 101101101, B2 = 78389316415410 (P-1 stage 2)
B1 = 1000000, B2 = 9113723048430 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 101101101 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-04T09:24:57+00:00