is 2 829 - 1
has 250 decimal digits
takes 0.000 GHz-days to do one PRP test
Has been fully factored.
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-
Cofactor is a certified prime

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26735,843.085185.0746 %----35,843.085185.0746 %
Target2440.002877.2727 %500500000.00000.5690 %0.002877.4020 %
Difference+23+35,843.0823+7.8019 %-500-500000.0000-0.5690 %+35,843.0823+7.6726 %

Known prime factors (3 factors, 829.0 bits, 100.00000000% known):
Remaining cofactor is a certified-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
82972953516.15544
22 × 11
-4111.063e-118.382e-111.557e-10
829896542399559721048389015001772996.17854073727355833597610917672
23 × 43 × 51157 × 3072718648373929459
-5115730727186483739294593.432e+133,202,8825,982,092
829
click to show decimal representation
216716.667

1 Composite Factors:
P-1 results:
No P-1 results for M829


Trial Factoring results:
5758596061626364656667
No TF results for M829


ECM factoring results:
No ECM results for M829


Lucas-Lehmer results:
No L-L results for M829


PRP results:
No PRP results for M829


CERT results:
No CERT results for M829


P-1 factor-bounds graph:
100
101
102
103
104
105
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
250
260
270
280
290
2100
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Last modified: 2024-03-13T02:15:48+00:00