is 2 3393017 - 1
has 1021400 decimal digits
takes 0.356 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD7FA93C5D70109EFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26817.566967.6471 %11310052134440001.93388.2957 %19.500870.3309 %
Target2641.049065.6250 %1800016000000.01591.7913 %1.064966.2408 %
Difference+4+16.5179+2.0221 %+1113005+211844000+1.9180+6.5043%+18.4359+4.0902 %

Known prime factors (2 factors, 142.4 bits, 0.00419607% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33930176212265438105539331112169.07491544861668915
5 × 337 × 1319 × 41189761
2022-01-0913194118976135.1860.34190.6383
3393017116258501620973991730392373.3001713202462896207
3 × 31 × 61 × 263 × 929 × 1236017
2009-06-139291236017563.760.01040.0192

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-03-14JossManual testing33930137323186
skipped known factor: 11625850162097399173039
---5.331%
2022-01-09JossManual testing113100511164230022169.0741.14010.539%
2022-09-05JossManual testing1131005213444000
skipped known factor: 621226543810553933111
skipped known factor: 11625850162097399173039
--2.02511.442%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-05ANONYMOUSv4_computers212600.023
2009-03-25S485122USB-Z2602610.045
2022-04-24LordJuliusManual testing21262
2022-04-24LordJuliusManual testing262263
2022-04-24LordJuliusManual testing263264
2022-04-24LordJuliusManual testing264265
2022-04-24LordJuliusManual testing265266
2022-04-24LordJuliusManual testing266267
2021-07-09JossManual testing267268


ECM factoring results:
Total ECM effort:0.299 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.299


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-04-05ANONYMOUSv4_computersD7FA93C5D70109EF0.356
2000-10-07ANONYMOUSv4_computersD7FA93C5D70109EF0.356
2001-01-21ANONYMOUSv4_computersD7FA93C5D70109EF0.356


PRP results:
dateuseridcompidcofactorsres64
2017-11-05Oliver KruseGTX-2
11625850162097399173039
E80983773C257ECD
2017-12-15kkmrkkblmbrbkc4.xlarge
11625850162097399173039
E80983773C257ECD
2022-01-12LordJuliusWhitebox
621226543810553933111
11625850162097399173039
E80983773C257ECD


CERT results:
dateuseridcompid
2022-01-12ManuelJCi9-9940x


P-1 factor-bounds graph:
B1 = 1131005, B2 = 213444000 (P-1 stage 2)
B1 = 1131005, B2 = 111642300 (P-1 stage 2)
B1 = 1131005 (P-1 stage 1)
B1 = 339301, B2 = 3732318 (P-1 stage 2)
B1 = 339301 (P-1 stage 1)
101
102
103
104
105
106
107
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
250
260
270
280
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Last modified: 2024-02-29T14:28:04+00:00