is 2 3393073 - 1
has 1021417 decimal digits
takes 0.356 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
Actual26817.566667.6471 %11310242134440001.93388.2957 %19.500570.3310 %
Target2641.049065.6250 %1800016000000.01591.7914 %1.064966.2408 %
Difference+4+16.5176+2.0221 %+1113024+211844000+1.9180+6.5043%+18.4356+4.0902 %

Known prime factors (1 factor, 47.7 bits, 0.00140485% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
33930732235718872596411547.66832945340
22 × 3 × 5 × 549089
-55490895.669e-60.00460.0085

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-03-15JossManual testing33930737323806
skipped known factor: 223571887259641
---5.331%
2022-01-09JossManual testing1131024111642300
skipped known factor: 223571887259641
--1.14010.539%
2022-09-05JossManual testing1131024213444000
skipped known factor: 223571887259641
--2.02511.442%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-07-09JossManual testing267268


ECM factoring results:
Total ECM effort:0.377 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.377


Lucas-Lehmer results:
No L-L results for M3393073


PRP results:
dateuseridcompidcofactorsres64
2017-11-05Oliver KruseGTX-0
223571887259641
F19F2FC6FBDA3526
2017-12-15kkmrkkblmbrbkc4.xlarge
223571887259641
F19F2FC6FBDA3526


CERT results:
No CERT results for M3393073


P-1 factor-bounds graph:
B1 = 1131024, B2 = 213444000 (P-1 stage 2)
B1 = 1131024, B2 = 111642300 (P-1 stage 2)
B1 = 1131024 (P-1 stage 1)
B1 = 339307, B2 = 3732380 (P-1 stage 2)
B1 = 339307 (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
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00