is 2 13581397 - 1
has 4088408 decimal digits
takes 6.026 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LB931B0DDCFFF9693double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273140.843067.1233 %74000036996687013.41786.3870 %154.260769.2231 %
Target2698.790565.2174 %90000110000000.44032.7849 %9.230866.1861 %
Difference+4+132.0525+1.9059 %+650000+358966870+12.9774+3.6021%+145.0300+3.0371 %

Known prime factors (1 factor, 85.1 bits, 0.00062649% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13581397410661203748671627911036492685.0861511851850544798992
24 × 18199 × 132499 × 39185837
2022-07-0613249939185837595,9281.45412.5653

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-03ANONYMOUSv4_computers1500001837500--0.1562.913%
2022-07-06James Heinrichi3-810074000036996687022685.08615.179.003%


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-06-23ANONYMOUSv4_computers212650.275
2014-06-23NesowaManual testing2652660.550
2015-08-07NesowaManual testing2662671.100
2017-12-23ANONYMOUSManual testing2672682.201
2018-01-24ramgeisManual testing2682694.402
2021-08-09SRBaseManual testing2692708.804
2021-09-04SRBaseManual testing27027117.61
2021-10-24ANONYMOUSManual testing27127235.21
2021-12-13ANONYMOUSManual testing27227370.43


ECM factoring results:
Total ECM effort:0.675 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.675


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-07ANONYMOUSv4_computersB931B0DDCFFF96936.026
2005-02-02Torchwood Institutev4_computersB931B0DDCFFF96936.026


PRP results:
dateuseridcompidcofactorsres64
2022-08-24Ryan Propperboulder
41066120374867162791103649
A1A6A7D52DABF994


CERT results:
dateuseridcompid
2022-08-24Naegi Makoto1700


P-1 factor-bounds graph:
B1 = 740000, B2 = 369966870 (P-1 stage 2)
B1 = 740000 (P-1 stage 1)
B1 = 150000, B2 = 1837500 (P-1 stage 2)
B1 = 150000 (P-1 stage 1)
104
105
106
104
105
106
107
108
109
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
290
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Last modified: 2024-03-13T02:15:48+00:00