is 2 202817 - 1
has 61055 decimal digits
takes 0.001 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-daysProbability
Actual267146.506073.1343%30000000102640764025803,739.164623.1668%3,885.670679.3582%
Target2440.000059.0909%3600800000.00018.8860%0.000162.7261%
Difference+23+146.5060+14.0434%+29996400+10264076322580+3,739.1645+14.2808%+3,885.6706+16.6321%

Known prime factors (4 factors, 260.6 bits, 0.12848227% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
202817114794423926.774283
283
-12834.678e-111.094e-71.916e-7
20281710032168482391339.8682473207
11 × 29 × 7753
2008-07-212977534.789e-73.008e-65.277e-6
2028171333935695020384431672166.854328852042733199
3 × 4397 × 24930031289
2014-07-28439724930031289124.169.081516.962
20281718076647517116394811984707394680624044739127.087445639357576445633551051129705119
3 × 31 × 3491 × 11173 × 73589 × 13109843 × 127341673003
2022-02-05131098431273416730037.055e+1146.47186.639

11 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-03Oliver KruseOllaptop300000003000000000-
skipped known factor: 114794423
skipped known factor: 1003216848239
--1.282--12.372%
2022-02-05Oliver KruseThreadripper-PC300000001026407640258039127.0873,7390.0027,47823.167%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21J FeitsmaManual testing??39.868131.17788e-70.0022.44266e-7


ECM factoring results:
Total ECM effort:13.688 GHz-days
Estimated T-Level:28.966
DigitsB1CompleteFacMiss
201100053.2490.000%
25500007.5910.050%
302500000.79345.240%
3510000000.06593.710%
4030000000.00499.567%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.372
250000250000003869.423
25000031250000140.370
25000036000000210.587
2500003725000070.199
25000038500000140.403
25000023541903070.646
25000025426810570.688


Lucas-Lehmer results:
No L-L results for M202817


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22Oliver KruseOllaptopB11BEE9ABDA55A__?
2017-09-22Oliver KruseManual testingB11BEE9ABDA55A__?
2017-10-12kkmrkkblmbrbkc4.xlargeB11BEE9ABDA55A__no
2020-04-17Oliver KruseAddPrpType5
114794423
1003216848239
133393569502038443167
D1BB9CDFD13751__no
2022-02-06Oliver KruseIOS-6
114794423
1003216848239
133393569502038443167
180766475171163948119847073946806240447
D1BB9CDFD1375148no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10264076402580 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-12-02T07:04:47+00:00