is 2 6973843 - 1
has 2099336 decimal digits
takes 1.521 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
Actual2674.260865.6716 %843000206877132035.889512.1273 %40.150269.8347 %
Target2674.260865.6716 %4500045000000.09102.2392 %4.351766.4403 %
Difference---+798000+2064271320+35.7985+9.8881%+35.7985+3.3944 %

Known prime factors (3 factors, 130.0 bits, 0.00186469% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6973843184806839511134.1051325
52 × 53
-25534.223e-108.387e-61.609e-5
69738432644481265611237.94418960
24 × 3 × 5 × 79
2008-09-0816792.898e-96.144e-61.030e-5
69738432865188925128390711857.99120542396245
3 × 5 × 7 × 1627 × 120247
2015-07-3116271202470.00310.00260.0039

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2024-01-03Stef42Manual testing8430002068771320
skipped known factor: 18480683951
skipped known factor: 264448126561
skipped known factor: 286518892512839071
--33.3712.127%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-08Will EdgingtonManual testing??
37.944
12
2015-07-31TJAOIManual testing257258*
57.991
18
0.003


ECM factoring results:
No ECM results for M6973843


Lucas-Lehmer results:
No L-L results for M6973843


PRP results:
dateuseridcompidcofactorsres64
2017-10-27kkmrkkblmbrbkc4.xlarge
18480683951
264448126561
286518892512839071
6F16CB0357740B7A
2019-02-15ATHec2-PRPCFDC
18480683951
264448126561
286518892512839071
6F16CB0357740B7A


CERT results:
No CERT results for M6973843


P-1 factor-bounds graph:
B1 = 843000, B2 = 2068771320 (P-1 stage 2)
B1 = 843000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
this exponent TF target: 67
TF double-checked to: 67
250
260
270
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00