is 2 3455857 - 1
has 1040317 decimal digits
takes 0.363 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
Actual26817.247567.6471 %12683762134440001.95368.4117 %19.201170.3685 %
Target2641.029965.6250 %1900017000000.01681.8553 %1.046866.2628 %
Difference+4+16.2176+2.0221 %+1249376+211744000+1.9368+6.5563%+18.1543+4.1057 %

Known prime factors (2 factors, 121.6 bits, 0.00351894% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3455857304115417928.18044
22 × 11
-4111.045e-116.672e-71.240e-6
3455857133370044037230059757127998092993.4291929623303817693552672
25 × 33 × 5237 × 23189 × 25373 × 724807
2020-12-0325373724807695,030,9910.00970.0112

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-12-03JossManual testing3455853455857622993.4290.0785.264%
2022-01-06JossManual testing1268376111642300
skipped known factor: 304115417
skipped known factor: 13337004403723005975712799809
--1.16110.652%
2022-09-03JossManual testing1268376213444000
skipped known factor: 304115417
skipped known factor: 13337004403723005975712799809
--2.04511.567%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-04-09JossManual testing267268


ECM factoring results:
Total ECM effort:0.441 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.441


Lucas-Lehmer results:
No L-L results for M3455857


PRP results:
dateuseridcompidcofactorsres64
2017-11-06Oliver KruseGTX-0
304115417
8D1D83081A8667CD
2017-12-16kkmrkkblmbrbkc4.xlarge
304115417
8D1D83081A8667CD
2020-12-03mrhw
304115417
13337004403723005975712799809
8D1D83081A8667CD


CERT results:
dateuseridcompid
2020-12-04curtiscwcm202--04l


P-1 factor-bounds graph:
B1 = 1268376, B2 = 213444000 (P-1 stage 2)
B1 = 1268376, B2 = 111642300 (P-1 stage 2)
B1 = 1268376 (P-1 stage 1)
B1 = 345585, B2 = 3455857 (P-1 stage 2)
B1 = 345585 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00