is 2 4137921817 - 1
has 1245638587 decimal digits
takes 1,038,120.293 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
Actual2710.115554.9296%----0.115554.9296%
Target292242,385.960765.2174%200000009600000000197,146.23064.2498%439,532.191266.6956%
Difference-21-242,385.8451-10.2878%-20000000-9600000000-197,146.2306-4.2498%-439,532.0757-11.7660%

Known prime factors (6 factors, 364.8 bits, 0.00000881% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4137921817500523022984331445.5096048
25 × 33 × 7		2012-08-2032321.586e-90.01160.0237
4137921817282440888086423911754.6493412835
5 × 17 × 40151		2019-07-1217401511.043e-60.80161.4864
4137921817781435279993107771756.1179442364
22 × 2360591		2019-10-16423605914.220e-646.78787.383
41379218173466082588157510001132168.23241881924568
23 × 112 × 43266451		2023-05-10121432664510.0147857.561,601.6
413792181711463946192465276159192269.958138522991727
1049 × 132052423		2023-05-1010491320524230.05692,617.64,888.2
413792181714467619829757647726072270.293174817462359
3 × 23 × 2533586411		2023-05-102325335864110.071450,21493,787

57 Composite Factors:
P-1 results:
No P-1 results for M4137921817


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2019-07-1225425554.649174.62590e-7243,4249.86579e-7
TF systematically completed to 64 but no per-exponent detailed record exists
2019-10-1625625756.117171.90007e-6243,4244.05234e-6
2023-05-10slaurpalvi2-rtx26827169.958220.1012,106,9000.229
2023-05-10slaurpalvi2-rtx26827170.293220.1012,106,9000.229
2023-05-10slaurpalvi2-rtx26827168.232210.1012,106,9000.229


ECM factoring results:
No ECM results for M4137921817


Lucas-Lehmer results:
No L-L results for M4137921817


PRP results:
No PRP results for M4137921817


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
271
257
255
this exponent TF target: 92
250
260
270
280
290
2100
Last modified: 2023-07-11T14:45:05+00:00