is 2 3455951 - 1
has 1040345 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
Actual26817.247067.6471 %10500001116423001.07757.5297 %18.324570.0831 %
Target2641.029965.6250 %1900017000000.01681.8554 %1.046866.2628 %
Difference+4+16.2171+2.0221 %+1031000+109942300+1.0607+5.6744%+17.2778+3.8204 %

Known prime factors (3 factors, 162.4 bits, 0.00469975% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3455951345940695111135.0105005
5 × 7 × 11 × 13
-11131.435e-91.692e-63.409e-6
34559515500548332326668491858.93279580820624
24 × 3 × 36697 × 45179
2015-10-1336697451790.02050.00570.0114
34559514113680646851840592732168.47959515899485436
22 × 32 × 3631 × 15131 × 30091
2019-06-02151313009131.9840.00240.0047

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2019-06-02JossManual testing2000020000022168.4790.0051.613%
2020-11-18JossManual testing34559534559516
skipped known factor: 34594069511
skipped known factor: 550054833232666849
skipped known factor: 411368064685184059273
---5.264%
2022-01-07JossManual testing1050000111642300
skipped known factor: 34594069511
skipped known factor: 550054833232666849
skipped known factor: 411368064685184059273
--1.12810.494%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2015-10-13TJAOIManual testing258259*
58.932
18
0.010
2021-02-09JossManual testing265266
2022-05-12LordJuliusManual testing262267
2021-08-08JossManual 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 M3455951


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
34594069511
550054833232666849
43A55D733851C97C
2017-11-22Oliver KruseGTX-0
34594069511
550054833232666849
43A55D733851C97C
2019-06-02ATHec2-PRPCF
34594069511
550054833232666849
411368064685184059273
7F615CAEDA4F5113
2019-06-03marssystemsSystem01
34594069511
550054833232666849
411368064685184059273
7F615CAEDA4F5113


CERT results:
No CERT results for M3455951


P-1 factor-bounds graph:
B1 = 1050000, B2 = 111642300 (P-1 stage 2)
B1 = 1050000 (P-1 stage 1)
B1 = 345595, B2 = 3455951 (P-1 stage 2)
B1 = 345595 (P-1 stage 1)
B1 = 20000, B2 = 200000 (P-1 stage 2)
B1 = 20000 (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
267
266
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