is 2 1457966077 - 1
has 438891522 decimal digits
takes 117,852.258 GHz-days to do one PRP test
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual280167.950861.2500%----167.950861.2500%
Target28721,497.717064.3678%8000000320000000021,321.24674.3611%42,818.963765.9218%
Difference-7-21,329.7662-3.1178%-8000000-3200000000-21,321.2467-4.3611%-42,651.0129-4.6718%

Known prime factors (7 factors, 355.7 bits, 0.00002440% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
14579660771137213540071236.72739
3 × 13		2012-08-203136.862e-120.00040.0007
14579660771399647433931237.02648
24 × 3		2012-08-2016161.399e-110.00190.0038
14579660774432216874091238.689152
23 × 19		2014-10-288193.421e-110.00100.0019
1457966077826812562266711446.23328355
5 × 53 × 107		2014-10-28531079.721e-90.00660.0126
14579660779454478422226886471859.714324235199
163 × 1327 × 1499		2014-10-28132714998.265e-50.15660.3165
145796607728477346331232598631961.305976612103
19 × 51400637		2014-10-2819514006370.0004328.24613.05
1457966077772859718403399641487032376.03326504722249563
3 × 47 × 2971 × 63270533		2022-04-2329716327053316.570404.36754.63

120 Composite Factors:
P-1 results:
No P-1 results for M1457966077


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2019-06-302125536.727123.29205e-6239,89510.74
2019-06-302125537.026123.29205e-6239,89510.74
2019-06-302125538.689123.29205e-6239,89510.74
2019-06-302125546.233143.29205e-681,2946.76472e-6
TF systematically completed to 64 but no per-exponent detailed record exists
2022-01-31ramgeisr4mg31s27327436.727121.312239,89510.74
2022-01-31ramgeisr4mg31s27327437.026121.312239,89510.74
2022-02-03ramgeisr4mg31s274275--2.624--
2022-04-03ramgeisr4mg31s27527636.727125.248239,89510.74
2022-04-03ramgeisr4mg31s27527637.026125.248239,89510.74
2022-04-03ramgeisr4mg31s27527638.689125.248239,89510.74
2022-04-23ramgeisr4mg31s27627776.0332310.50239,89521.48
2022-05-02ramgeisr4mg31s277278--20.99--
2022-05-04ramgeisr4mg31s278279--41.99--
2022-05-03ramgeisr4mg31s279280--83.98--


ECM factoring results:
No ECM results for M1457966077


Lucas-Lehmer results:
No L-L results for M1457966077


PRP results:
No PRP results for M1457966077


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
280
279
278
277
276
275
274
255
this exponent TF target: 87
250
260
270
280
290
Last modified: 2023-07-11T14:45:05+00:00