is 2 14197 - 1
has 4274 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2672,092.971679.1045%4000000004000000000.13827.8474%2,093.109880.7442%1.6398%
PrimeNet2400.000065.0000%500100000.00003.3780%0.000066.1823%1.1823%
GPU722440.000268.1818%500100000.00001.4065%0.000268.6293%0.4475%
Difference+23+2,092.9714+10.9227%+399999500+399990000+0.1382+6.4409%+2,093.1096+12.1149%+1.1922%

Known prime factors (5 factors, 142.3 bits, 1.00246082% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
141978177473722.963288
25 × 32
-994.181e-113.110e-96.330e-9
1419721806593824.378768
28 × 3
2008-08-262562561.836e-108.847e-81.801e-7
1419790945983826.4393203
3203
2008-08-26132031.066e-96.063e-81.126e-7
14197130811159926.9634607
17 × 271
2008-08-26172711.258e-91.066e-81.196e-8
1419732791543181271341.576115487579
172 × 61 × 6551
2008-08-2628965512.706e-52.178e-72.305e-7

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
141971783228254794891547.341
141977437083204409591549.402
1419710697047208212071649.926
1419719832220362659191650.817
1419728525457041712871651.341
14197118967494426242971753.401
14197268151958993169530712064.540
14197715071835995880113112065.955
141972982259128707547338412168.015
141974289499768940475791932168.539
14197162177446545695734426872373.780
14197233266154771266868177512374.304
14197972853473548252378614812376.365
141972594275731182848965901212477.780
141975847480631916737736193971032788.918
1419724387343504009493256069637932890.978
1419735077268544016979395661192892891.503
1419765032911040260100836940137132892.393
1419793539375634878996820970194492892.918
14197390112773064564439384777317192994.978
14197212146197463030054817350654423331100.743
141975318048741431288875713553739968724935115.356
141977649157186910808547705695992467237735115.881
1419731901366686906029598291531223336608736117.941
1419785070304663203194519370093515942336736119.356
14197695660119485118216695896916734093527921159143142.319
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T07:41:03Seth_TrManual testing400000000400000000-
skipped known factor: 8177473
skipped known factor: 21806593
skipped known factor: 90945983
skipped known factor: 130811159
skipped known factor: 3279154318127
--0.138--7.847%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T19:58:00ANONYMOUSManual testing??26.96396.27947e-101.74350e-53.23566e-9
2008-08-26T19:58:00ANONYMOUSManual testing??24.37882.61702e-111.74359e-51.34856e-10
2008-08-26T19:58:00ANONYMOUSManual testing??41.576136.42711e-67.11890e-61.35222e-5
2008-08-26T19:58:00ANONYMOUSManual testing??26.43984.36578e-101.74350e-52.24958e-9


ECM factoring results:
Total ECM effort:23.296 GHz-days
Estimated T-Level:36.630
DigitsB1CompleteFacMiss
2011000501.8760.000%
2550000110.5440.000%
3025000019.1700.000%
3510000002.7306.521%
4030000000.32672.186%
45110000000.03496.662%
50440000000.00399.691%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001480.037
250000250000005610.697
50000050000000100.025
10000001000000001,4187.052
30000003000000001,03815.49


Lucas-Lehmer results:
No L-L results for M14197


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:12:44Oliver KrusePRP
8177473
21806593
90945983
130811159
3279154318127
24CEEB0405B55204no
2017-09-21T19:22:11Oliver KruseManual testing
8177473
21806593
90945983
130811159
3279154318127
24CEEB0405B55204no
2017-10-02T10:05:42kkmrkkblmbrbkManual testing
8177473
21806593
90945983
130811159
3279154318127
24CEEB0405B552__no
2017-12-07T02:54:43ATHManual testing
8177473
21806593
90945983
130811159
3279154318127
24CEEB0405B552__no
2020-04-17T13:47:57Oliver KruseManual testing
8177473
21806593
90945983
130811159
3279154318127
C2EF9AB89DDDC8__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
100
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104
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106
107
108
109
100
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109
TF factor-bounds graph:
267
2
220
230
240
250
260
270
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290
2100
Last modified: 2021-10-22T04:25:38+00:00