is 2 3335251 - 1
has 1004011 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
Actual26817.871267.6471 %10000002411755502.14518.3050 %20.016370.3340 %
Target2641.067265.6250 %1800015000000.01501.7539 %1.082266.2279 %
Difference+4+16.8040+2.0221 %+982000+239675550+2.1300+6.5511%+18.9340+4.1061 %

Known prime factors (2 factors, 75.2 bits, 0.00225434% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
333525130951129291031.527464
24 × 29
-16299.439e-112.545e-64.959e-6
3335251139053885037191443.6612084609
2084609
2008-09-30120846094.265e-70.01730.0323

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-03-09JossManual testing33352536687766
skipped known factor: 3095112929
skipped known factor: 13905388503719
---5.291%
2021-03-10JossManual testing33352570040276
skipped known factor: 3095112929
skipped known factor: 13905388503719
---6.035%
2022-02-24JossManual testing1000000134343300
skipped known factor: 3095112929
skipped known factor: 13905388503719
--1.25910.670%
2022-09-10JossManual testing1000000241175550
skipped known factor: 3095112929
skipped known factor: 13905388503719
--2.14511.473%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-30markrManual testing??
43.661
14
2021-07-27JossManual testing267268


ECM factoring results:
Total ECM effort:0.376 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.376


Lucas-Lehmer results:
No L-L results for M3335251


PRP results:
dateuseridcompidcofactorsres64
2017-11-04Oliver KruseGTX-2
3095112929
13905388503719
00824D41DBDD4B9C
2017-12-15kkmrkkblmbrbkc4.xlarge
3095112929
13905388503719
00824D41DBDD4B9C


CERT results:
No CERT results for M3335251


P-1 factor-bounds graph:
B1 = 1000000, B2 = 241175550 (P-1 stage 2)
B1 = 1000000, B2 = 134343300 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 333525, B2 = 7004027 (P-1 stage 2)
B1 = 333525, B2 = 3668776 (P-1 stage 2)
B1 = 333525 (P-1 stage 1)
100
101
102
103
104
105
106
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
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Last modified: 2024-03-13T02:15:48+00:00