is 2 8353 - 1
has 2515 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
Actualunknown4000000004000000000.059036.2543%0.059036.2543%36.2543%
PrimeNet2400.000065.0000%500100000.00002.9289%0.000066.0251%1.0251%
GPU722440.000368.1818%500100000.00001.1956%0.000368.5622%0.3804%
Difference-44-0.0003-68.1818%+399999500+399990000+0.0590+35.0587%+0.0587-32.3079%+35.8739%

Known prime factors (5 factors, 217.3 bits, 2.60164788% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
835350119515.6133
3
-135.229e-131.635e-103.000e-10
8353154146263927.2009227
9227
-192274.275e-97.425e-81.384e-7
8353297834569928.15017828
22 × 4457
-444577.958e-93.635e-86.688e-8
83531856733916960071547.40011114174051
19 × 367 × 1593887
-36715938870.00311.285e-52.391e-5
83536135758232170567142830904516893098.95336727871616009620153423348
22 × 53 × 241 × 1571 × 457579619805044339
-15714575796198050443391.389e+133,675,1276,864,114

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
835377256565552971342.813
8353149271707637111443.763
8353459100858035656471755.350
835393057647184121748331963.013
835323009675903889066619932270.963
8353286208594684747110718412374.599
8353552999545905484238659832375.550
835314344488557004840442095990792890.213
835327715784241236964557392019772891.163
8353852428134420273465948129227152931102.749
83533075180668381566546315421034820099135114.566
835342722845669009685839854288735676195136118.362
83539458042021605793036579711721884138820738126.153
835318274409085667227994706038866680863704139127.103
8353474027608080860741200338571789111153554663343141.766
8353915895108964555799866671961959178207985787943142.716
835311392470415938051717009353066284924340770582345146.353
83532816931869088850056952919674831610353599352778347154.303
8353570979224776399214004791766329134123035080814293749161.966
835314118180834686407600442338118288547931204596189561
77
52169.916
835317561067409549063116777253112154123803675238018789
449
53173.553
835333930715161761603638351906394657988722310155071995
287
53174.503
835388014313749918949434975914872805253091639925426370
8394431
57189.166
835317005735131923298127505591965938637367734626620533
31789153
58190.116
835352302929431029916977391498496623321246402551312985
69444662481
61201.703
835326213705201537884089898845131522642375484494692555
3001997038885239
66217.316
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-08-27T05:20:50Seth_TrManual testing100000000100000000-
skipped known factor: 50119
skipped known factor: 154146263
skipped known factor: 297834569
skipped known factor: 185673391696007
--0.015--26.248%
2021-08-27T05:53:05Seth_TrManual testing400000000400000000-
skipped known factor: 50119
skipped known factor: 154146263
skipped known factor: 297834569
skipped known factor: 185673391696007
--0.059--29.934%


Trial Factoring results:
No TF results for M8353


ECM factoring results:
Total ECM effort:1,952.830 GHz-days
Estimated T-Level:46.139
DigitsB1CompleteFacMiss
20110004,297.8000.000%
25500001,212.2030.000%
30250000324.7260.000%
35100000066.8710.000%
40300000011.5600.001%
45110000001.73117.703%
50440000000.22879.633%
551100000000.02797.345%
602600000000.00399.720%


ECM Summary

B1B2factorcurvesGHz-days
30000003000000003,48922.20
11000000365788846627,2001,931


Lucas-Lehmer results:
No L-L results for M8353


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T18:54:56Oliver KruseOliver-PC704A97D91BF75A__?
2017-09-21T19:21:38Oliver KruseManual testing704A97D91BF75A__?
2017-10-02T10:01:32kkmrkkblmbrbkManual testing
50119
154146263
297834569
185673391696007
613575823217056714283090451689
704A97D91BF75A__no
2017-12-07T02:54:31ATHManual testing
50119
154146263
297834569
185673391696007
613575823217056714283090451689
704A97D91BF75A__no
2020-04-17T13:47:03Oliver KruseManual testing
50119
154146263
297834569
185673391696007
613575823217056714283090451689
B47C0B8EC5AB4B__no


P-1 factor-bounds graph:
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
100
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TF factor-bounds graph:
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Last modified: 2021-08-27T05:53:05+00:00