is 2 3331333 - 1
has 1002832 decimal digits
takes 0.350 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
Actual26817.892267.6471 %12000002184798001.98568.3584 %19.877870.3512 %
Target2641.068465.6250 %1800015000000.01501.7536 %1.083566.2278 %
Difference+4+16.8238+2.0221 %+1182000+216979800+1.9705+6.6048%+18.7943+4.1235 %

Known prime factors (1 factor, 24.3 bits, 0.00072802% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
333133319987999824.2533
3
-136.713e-131.689e-73.099e-7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2020-10-21JossManual testing111044111044
skipped known factor: 19987999
---1.594%
2020-10-23JossManual testing333133333133
skipped known factor: 19987999
---2.618%
2020-10-23JossManual testing33313333313336
skipped known factor: 19987999
---5.180%
2022-01-06JossManual testing1200000111642300
skipped known factor: 19987999
--1.15110.570%
2022-09-03JossManual testing1200000218479800
skipped known factor: 19987999
--1.98611.510%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2021-03-30JossManual testing267268


ECM factoring results:
Total ECM effort:0.522 GHz-days
Estimated T-Level:0.769
DigitsB1CompleteFacMiss
20110000.15485.740%
25500000.01498.587%


ECM Summary

B1B2factorcurvesGHz-days
50000500000040.522


Lucas-Lehmer results:
No L-L results for M3331333


PRP results:
dateuseridcompidcofactorsres64
2017-11-04Oliver KruseGTX-1
19987999
60263A59AA3ED6C1
2017-12-15kkmrkkblmbrbkc4.xlarge
19987999
60263A59AA3ED6C1


CERT results:
No CERT results for M3331333


P-1 factor-bounds graph:
B1 = 1200000, B2 = 218479800 (P-1 stage 2)
B1 = 1200000, B2 = 111642300 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 333133, B2 = 3331333 (P-1 stage 2)
B1 = 333133 (P-1 stage 1)
B1 = 111044 (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=0.77 ~= -14-bit
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Last modified: 2024-03-13T02:15:48+00:00