is 2 3997473841 - 1
has 1203359534 decimal digits
takes 1,002,884.757 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
Actual2710.119654.9296%----0.119654.9296%
Target292250,901.993365.2174%200000009600000000197,146.23064.2357%448,048.223866.6907%
Difference-21-250,901.8737-10.2878%-20000000-9600000000-197,146.2306-4.2357%-448,048.1043-11.7611%

Known prime factors (7 factors, 365.7 bits, 0.00000915% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
39974738411199242152311236.80315
3 × 5
2012-08-20352.372e-120.00110.0022
399747384110473381463431339.930131
131
2019-08-0811312.404e-110.00290.0050
3997473841220580606546391444.3262759
31 × 89
2019-08-0831899.199e-100.01240.0230
39974738411272079323662092811856.82015911040
27 × 3 × 5 × 8287
2019-10-1712882873.431e-60.20830.3066
39974738412130540028995915611857.56426648580
22 × 3 × 5 × 7 × 67 × 947
2019-12-23679474.803e-60.04180.0496
399747384111250701684577635271959.965140722643
2549 × 55207
2019-12-232549552073.673e-51.97092.0435
399747384114209186180343909937672270.267177727068963
32 × 1231 × 16041797
2021-09-231231160417970.0602318.36593.82

120 Composite Factors:
P-1 results:
No P-1 results for M3997473841


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2019-08-0823924039.930135.71439e-122,039,1007.844
2019-08-0824424544.326143.33616e-102,054,7801.88473e-9
2019-10-1725625756.820181.02916e-62,054,7807.02870e-6
2019-12-23slaurpalvi2-rtx2126459.965190.0012,054,7807.52539e-5
2019-12-23slaurpalvi2-rtx2126457.564180.0012,054,7809.84017e-6
2020-11-05ramgeisr4mg31s2126939.930132.40353e-112,039,1007.844
2020-11-05ramgeisr4mg31s2126959.965193.67294e-52,054,7807.52539e-5
2020-11-05ramgeisr4mg31s2126936.803122.37191e-122,039,1007.844
2020-11-05ramgeisr4mg31s2126956.820183.43052e-62,054,7807.02870e-6
2020-11-05ramgeisr4mg31s2126957.564184.80273e-62,054,7809.84017e-6
2020-11-05ramgeisr4mg31s2126944.326149.19886e-102,054,7801.88473e-9
Missing TF 69 - 70
2021-09-23Seth_Tr108027027170.267220.0602,039,1000.123
Missing TF 71 - 72
Missing TF 72 - 73
Missing TF 73 - 74
Missing TF 74 - 75
2022-01-18ramgeisr4mg31s275276--1.914--
2022-01-19ramgeisr4mg31s27627739.930133.8282,039,1007.844
2022-01-19ramgeisr4mg31s27627736.803123.8282,039,1007.844
2022-01-21ramgeisr4mg31s277278--7.657--
2022-01-29ramgeisr4mg31s278279--15.31--
2022-02-02ramgeisr4mg31s279280--30.63--
2022-04-14ramgeisr4mg31s280281--61.26--


ECM factoring results:
No ECM results for M3997473841


Lucas-Lehmer results:
No L-L results for M3997473841


PRP results:
No PRP results for M3997473841


P-1 factor-bounds graph:
100
101
102
103
104
100
101
102
103
104
105
106
107
108
TF factor-bounds graph:
281
280
279
278
277
276
271
269
264
257
245
240
this exponent TF target: 92
250
260
270
280
290
2100
Last modified: 2023-07-11T14:45:05+00:00