is 2 3734936089 - 1
has 1124327795 decimal digits
takes 863,660.742 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
Actual281131.122360.4938%----131.122360.4938%
Target292268,538.505365.2174%180000008800000000166,463.45564.1094%435,001.960966.6467%
Difference-11-268,407.3831-4.7236%-18000000-8800000000-166,463.4556-4.1094%-434,870.8386-6.1529%

Known prime factors (7 factors, 357.4 bits, 0.00000957% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3734936089821685939591136.25811
11
2012-08-201112.515e-120.00050.0007
373493608925322866683431341.204339
3 × 113
2019-08-0831131.417e-100.00300.0040
3734936089450582689776971445.3576032
24 × 13 × 29
2019-08-0816291.709e-90.00560.0109
373493608920669659207578471650.876276707
276707
2019-08-0812767077.334e-85.05529.4409
3734936089560013852126841271755.6367496967
3 × 2498989
2019-10-05324989892.469e-645.65285.263
37349360891067027541875058711856.56614284415
5 × 2856883
2019-10-18528568833.886e-652.19197.475
373493608932669141103814645192972271.468437345383232
26 × 6833521613
2021-09-236468335216130.1926124,834233,154

120 Composite Factors:
P-1 results:
No P-1 results for M3734936089


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2019-08-0824124241.204136.33083e-111,755,58016.82
2019-08-0824524645.357144.54176e-10222,8289.82344e-10
2019-08-0825025150.876163.31788e-8222,8287.17628e-8
TF systematically completed to 64 but no per-exponent detailed record exists
2019-10-0625525655.636171.18411e-6222,8282.56113e-6
2019-10-1825625756.566181.31568e-6222,8282.84570e-6
2021-09-23Seth_Tr108027127271.468220.1281,755,5800.263
2021-11-04Seth_Tr1080274275--1.024--
2022-01-18ramgeisr4mg31s275276--2.049--
2022-01-19ramgeisr4mg31s276277--4.098--
2022-01-21ramgeisr4mg31s27727841.204138.1951,755,58016.82
2022-01-21ramgeisr4mg31s27727836.258118.1951,755,58016.82
2022-01-29ramgeisr4mg31s278279--16.39--
2022-02-09ramgeisr4mg31s279280--32.78--
2022-04-18ramgeisr4mg31s280281--65.56--


ECM factoring results:
No ECM results for M3734936089


Lucas-Lehmer results:
No L-L results for M3734936089


PRP results:
No PRP results for M3734936089


P-1 factor-bounds graph:
100
101
102
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
281
280
279
278
277
276
275
272
257
256
251
246
242
this exponent TF target: 92
250
260
270
280
290
2100
Last modified: 2023-07-11T14:45:05+00:00