is 2 13268561 - 1
has 3994235 decimal digits
takes 5.887 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4FF41F54456A726Cdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual27136.030966.1972 %50000031519950011.35217.0430 %47.383068.5779 %
Target2684.492264.7059 %90000120000000.47543.1784 %4.967565.8277 %
Difference+3+31.5387+1.4913 %+410000+303199500+10.8768+3.8646%+42.4155+2.7502 %

Known prime factors (1 factor, 75.0 bits, 0.00056487% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
13268561364956108810709221442812374.9501375266348817740
22 × 32 × 5 × 19 × 379 × 643 × 1650101
2021-08-236431650101374.470.05820.1080

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-24ANONYMOUSv4_computers1600002360000--0.1803.475%
2023-10-23nordisweet16_30.8b14500000500000--0.2962.381%
2023-10-30nordisweet16_30.8b14500000315199500
skipped known factor: 36495610881070922144281
--12.839.142%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-08-23ATHec2-P_1200000760000027P-12374.9500.414


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-05-10ANONYMOUSv4_computers212640.148
2013-05-16lycornManual testing2642650.282
2014-06-01NesowaManual testing2652660.563
2015-07-20NesowaManual testing2662671.126
2017-12-22ANONYMOUSManual testing2672682.253
2018-01-14ramgeisManual testing2682694.506
2021-08-07SRBaseManual testing2692709.011
2021-08-31SRBaseManual testing270271


ECM factoring results:
Total ECM effort:0.621 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-24ANONYMOUSv4_computers4FF41F54456A726C5.887
2005-02-12Sturle Sundev4_computers4FF41F54456A726C5.887


PRP results:
dateuseridcompidcofactorsres64
2022-06-27firejugglerMaison
36495610881070922144281
6AE854607A433EF8


CERT results:
dateuseridcompid
2022-06-27Ben Deloi-0a64a7c2ed5dff7d9


P-1 factor-bounds graph:
B1 = 500000, B2 = 315199500 (P-1 stage 2)
B1 = 200000, B2 = 7600000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 160000, B2 = 2360000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 160000 (P-1 stage 1)
101
102
103
104
105
106
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
271
270
269
268
267
266
265
264
this exponent TF target: 68
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00