is 2 1296833 - 1
has 390386 decimal digits
takes 0.041 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
Actual26722.912768.6567%1000000000100000000045.956912.8080%68.869672.6712%4.0145%
PrimeNet2560.007462.5000%60001000000.00052.5923%0.007963.4721%0.9721%
GPU722600.118465.0000%5500360000.00030.9344%0.118865.3270%0.3270%
Difference+7+22.7942+3.6567%+999994500+999964000+45.9566+11.8736%+68.7509+7.3441%+7.3441%

Known prime factors (7 factors, 270.2 bits, 0.02083289% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12968337780999722.8923
3
-134.311e-135.096e-89.353e-8
129683318155663824.1147
7
2008-07-15171.726e-126.098e-89.353e-8
129683380403647826.26131
31
2008-07-151316.940e-121.211e-71.645e-7
1296833236023607927.81491
7 × 13
2008-07-157131.406e-113.367e-76.547e-7
1296833275862315771134.68310636
22 × 2659
2008-07-15426592.298e-96.832e-61.244e-5
1296833670105722007849671755.89525836238051
13 × 1987402927
2014-08-181319874029270.00494.97629.2941
12968334300264512872022312452092478.509165798700097546188
22 × 17 × 83 × 693373 × 42366949
2018-04-266933734236694965,8820.13620.1981

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
12968331412691956473371547.005
12968336256206969033531549.152
129683314597815189029611650.375
129683318364994500433931650.706
129683342851650687364411651.928
1296833189771587808947291754.075
12968332146484403144054231857.575
12968335008463239519705511858.797
129683322180336257773613191960.944
129683365110018803408382391962.498
1296833113585585388024206380392373.266
1296833333428651146731786845592374.820
12968331476612534969831054542712476.967
12968333445428995234155382003272478.189
12968335214091952837356274420332478.787
129683312166213663146201963181212580.009
129683338970847458239589053604492581.689
129683353878943924999276095746492582.156
1296833158160769579631961427159692683.710
1296833172585174241400226457776812683.836
1296833402698710322818851369994972685.058
1296833506620991199301819968207612685.389
12968331182115559318345842047974572786.612
12968335235082968032609974526576332788.758
129683318485691628381326408423029592890.578
1296833268088795664879677932120618667331101.081
1296833334603538743926927411673998379131101.400
1296833780741533065635992333608496856731102.623
1296833946652963467269343293110318287931102.901
12968333457569498995890381865215487722332104.770
12968334192320088014754423017273429435132105.048
12968339782079486981841320383290058728732106.270
129683310149639413821526355694232964886333106.323
129683312306487899383467122327681207303133106.601
129683328715136323084495557005103788244733107.824
129683331333982623231431596910794915750333107.949
129683391980399849404896786294480811954333109.503
1296833127167026865290666165069639273894334109.970
1296833407341753391787701791813158971536734111.650
1296833950464021446398397079431043912567934112.872
12968331186280926944427048756144054576459335113.192
12968331438371480747434724026131848167604135113.470
12968333356199875268125977643288866750681735114.692
129683314863170242392273499346230978249147336116.839
129683343630596160202642303603586256995311336118.393
12968336074949088042180590711815380433485843338125.514
129683326903344814117524065402859844751728577739127.661
129683362774466622848224158086163817466716384939128.883
129683376114350706126220332061059563677955971339129.161
129683378974334129305882752130471005547335413739129.215
1296833184273432768861174659602624753966496116940130.437
1296833223432447014784136844561155571228222455340130.715
1296833816068024606192926104435547244481460336140132.584
1296833989486508871799808139740698120532274405740132.862
12968332308801684478163731938506742188389608420941134.084
12968332881631856222840462624573487244365797310341134.404
12968337395559600410404481276655873252646917332141135.764
12968339230450706273659921944508132515375236840741136.084
129683321537716732930637225301120634343802784015942137.306
129683326114587873261412963916453028898187557018342137.584
129683395381312892872501045440795645314368067067142139.453
1296833115650312792884037706139523895525636892152743139.731
1296833269850710032502431457960889961251848416159943140.953
1296833279990303292727160595789983172740781274695143141.006
1296833339489625091940599561697201062094260229988743141.284
1296833792142400373733185373770397673438264542891943142.507
12968333508059052064488700246209577341502290420311144144.654
1296833488448062017915409325844282577544702724190515146151.775
12968331433831396101076031165193363607988552319102783147153.329
12968336349824483392762551825686888673762998393733763947155.475
129683314816256039825746479336034600991384003610098334348156.698
129683317964783598122907520049789022461117354733414479148156.976
129683322421974591638065416841343679674923024505646989748157.296
129683352317936871646344342175851753143504064692113228948158.518
1296833167584952361216555319430794354708495118624933884149160.197
1296833231693710551696017894182900193954990305810910664149160.665
1296833680133144751820201774200521295983705908607904252149162.218
1296833742161900238128037762073785475395452615481038032949162.344
12968331731710973380548230948170772188195195683631665987350163.567
12968332099708104912191386671962226827610671274291765740150163.845
12968332178604269930406743868681263277112846357621298404950163.898
12968335083409589850544678724042153259952411180074663351350165.120
12968336163659225165617541660122090526625462969977331008150165.398
129683322512241509371372287856207493156989800114794853029
7
51167.267
129683327296203976054734512127056475084651980258150248788
9
51167.545
129683363691137933382311108978198113584751498599296686759
3
51168.767
129683379493363705423645518687297429977530473100179527343
1
51169.087
129683311528527342962809352996720589427935794070617152908
99657
55179.589
129683340708581448034333368012596031535785198386526834195
76711
55181.409
129683318028085301090361635386192522262635856145243900664
514359
56183.556
129683342065529279961369793287543962840814411605698357405
057983
56184.779
129683352921153191807682381848524820035279196911721943776
858479
56185.110
129683312348268171244266220004386759074203417967793908737
3946423
57186.332
129683313474441352163072404459485830225574629419142309415
5153127
57186.458
129683339554004935217498294607093270473536451439749775461
8019487
57188.012
129683354685185283625254110921592421498256407627524194895
6474087
57188.479
129683317516772867217713840043686264804704447770341863662
92426703
58190.159
129683340872467021875797710585629570383311290532157666574
17621911
58191.381
129683349558068056850982935664825054360483782584962892037
74265407
58191.659
129683361853778349853768035726034261535773463366202380207
71337569
58191.979
129683314432547221721029802687467745194381408418374247379
406089753
59193.201
129683363915563542134947797376653659439205780908898303531
214602857
59195.348
129683318762310434316974278409961844505126671213520844391
0735885617
60196.902
129683332731184126185013840020058628732041409588952731327
0398760665017
63207.670
129683396081862292183464213587913367969617721003986436091
7589743416577
63209.224
129683342550537200670281861182679971008551160949335813295
88375914472913
64211.371
129683399284579510205953192725705142807629842447595880687
16945191804681
64212.593
129683331802862502474856011026907310152297476831942827145
599858671869089
65214.273
129683311229963549966411117368138383788973654452196160048
4911404962003247
66216.093
129683349732693600578848667643994474744280074204635679087
8077293615714143
66218.240
129683311604294321260884127317628079084949891458337913001
84442310150529191
67219.462
129683314598951872710994254333363470213254612358573447668
60992015249991383
67219.793
129683334064218534684262017847944309169348161486448549423
97722821268799071
67221.016
129683315085581850652386859893542934290590945625369915995
618107657381645199
68223.162
129683377253321388433301158664551899048102499645490110003
098481820487031056319
71235.485
129683390293002509436618133774336765731916020487435842729
43845430838957484641809
73242.353
129683326505365035415970807661283682170238887517789467661
941738874569704302651929
74243.907
129683311738089729434437150444479767817215385732005769099
1988500063978923911773801
75246.054
129683327388874023936106597385538139101111327962554044515
4751839325140612618611937
75247.276
129683321311280139137282149815027487480760814176530505782
08678907037079781644806863185063
82270.168
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2022-02-22T07:05:42nordisweet16_ccx310000000001000000000-
skipped known factor: 7780999
skipped known factor: 18155663
skipped known factor: 80403647
skipped known factor: 236023607
skipped known factor: 27586231577
skipped known factor: 430026451287202231245209
--45.96--12.808%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T09:57:00J FeitsmaManual testing??24.11482.61129e-150.0915.77923e-15
2008-07-15T09:57:00J FeitsmaManual testing??27.81492.71574e-130.0916.01040e-13
2008-07-15T09:57:00J FeitsmaManual testing??34.683115.33265e-100.0911.18020e-9
2008-07-15T09:57:00J FeitsmaManual testing??26.26184.62572e-140.0911.02375e-13
2015-02-21T11:20:00TJAOIManual testing255256*55.895170.0010.0840.002


ECM factoring results:

Old Calculation Method

Total ECM effort:20.816 GHz-days
Estimated T-Level:25.391
DigitsB1CurvesCompleteFacMiss
2011000302 / 1003.0204.806%
2550000302 / 2801.07933.943%
3025000050 / 6400.07892.479%

New Calculation Method

Total ECM effort:20.816 GHz-days
Estimated T-Level:25.391
DigitsB1CompleteFacMiss
201100012.2960.000%
25500001.36025.674%
302500000.11389.299%
3510000000.00899.235%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002519.68
50000500000010.039
250000350000005011.10


Lucas-Lehmer results:
No L-L results for M1296833


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T00:12:56Oliver KruseGTX-2
7780999
18155663
80403647
236023607
27586231577
67010572200784967
61CFAA845B71BF0Dno
2017-09-30T15:23:26alpertronManual testing
7780999
18155663
80403647
236023607
27586231577
67010572200784967
61CFAA845B71BF__no
2017-10-18T05:42:08Oliver KruseGTX-2
7780999
18155663
80403647
236023607
27586231577
67010572200784967
20E355F271DDE0__no
2017-10-22T16:00:50kkmrkkblmbrbkc4.xlarge
7780999
18155663
80403647
236023607
27586231577
67010572200784967
61CFAA845B71BF__no
2017-11-04T18:27:10kkmrkkblmbrbkc4.xlarge
7780999
18155663
80403647
236023607
27586231577
67010572200784967
20E355F271DDE0__no
2018-05-01T07:03:43-Anonymous-
7780999
18155663
80403647
236023607
27586231577
67010572200784967
430026451287202231245209
20E355F271DDE0__no


P-1 factor-bounds graph:
B1 = 1000000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
256
2
220
230
240
250
260
270
280
290
2100
Last modified: 2022-02-22T07:05:42+00:00