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
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267146.506073.1343%30000000102640764025803,739.164623.1668%3,885.670679.3582%6.2239%
PrimeNet2400.000055.0000%2200500000.000012.6714%0.000060.7021%5.7021%
GPU722440.000059.0909%3600800000.00018.8860%0.000162.7261%3.6352%
Difference+23+146.5060+14.0434%+29996400+10264076322580+3,739.1645+14.2808%+3,885.6706+16.6321%+2.5887%

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:
exponentprime factorscomposite factordigitsbits*
2028171151636992374745710972166.642
202817153128378428969004071740576412993.629
20281713382267637118499963981206553291333106.722
2028171536209691834591585990743389128893534419941133.496
2028172075098321501759166281977970196195506491262708147153.862
20281718134797348848854408993669136758132688125614252283
3
51166.955
20281720817735978830339560914342592070579324908188396114
378560359
59193.730
20281724113085369383164695554549293376582303072416468812
146175649
59193.942
20281727680477217280822571401551511582224871932091757529
87815625283605527
67220.716
20281724190653505590521593421690916399419456217893536019
319126495947070332111
71233.809
20281727769521111671912005858836044324125940115068507427
67455978966255777315100616953
79260.584
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-03T11:08:37Oliver KruseOllaptop300000003000000000-
skipped known factor: 114794423
skipped known factor: 1003216848239
--1.282--12.372%
2022-02-05T18:36:55Oliver KruseThreadripper-PC300000001026407640258039127.0873,7390.0027,47823.167%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-21T09:13:00J FeitsmaManual testing??39.868131.17788e-70.0022.44266e-7


ECM factoring results:
Total ECM effort:12.354 GHz-days
Estimated T-Level:28.790
DigitsB1CompleteFacMiss
201100051.4990.000%
25500007.2870.068%
302500000.75846.864%
3510000000.06294.002%
4030000000.00499.589%


ECM Summary

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


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


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T02:24:42Oliver KruseOllaptopB11BEE9ABDA55A__?
2017-09-22T10:02:49Oliver KruseManual testingB11BEE9ABDA55A__?
2017-10-12T07:21:13kkmrkkblmbrbkc4.xlargeB11BEE9ABDA55A__no
2020-04-17T19:08:55Oliver KruseAddPrpType5
114794423
1003216848239
133393569502038443167
D1BB9CDFD13751__no
2022-02-06T12:48:38Oliver 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: 2022-09-20T05:05:05+00:00