is 2 53353 - 1
has 16061 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- L-L tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267556.930676.1194%400000000764000000006.492617.3705%563.423180.2676%20.2676%
PrimeNet2400.000060.0000%550100000.00004.8994%0.000061.9598%1.9598%
GPU722440.000063.6364%500100000.00002.0783%0.000064.3921%0.7557%
Difference+23+556.9305+12.4830%+399999500+76399990000+6.4926+15.2923%+563.4231+15.8755%+15.8755%

Known prime factors (7 factors, 365.2 bits, 0.68454960% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
53353320119618.2883
3
-136.550e-131.586e-92.910e-9
533531280473720.28812
22 × 3
2008-08-26442.625e-125.719e-91.164e-8
53353340122173831134.985318747
3 × 11 × 13 × 743
2008-08-26137438.549e-87.546e-81.079e-7
5335310134419422971339.8829497516
22 × 7 × 431 × 787
2008-08-264317872.388e-66.440e-71.254e-6
53353134368148794365991132063.543125923705128452
22 × 7 × 11 × 4519 × 90472051
2009-06-0445199047205139.7270.00710.0132
53353418265177140935104570232375.147391979061290775687
3 × 4722847 × 27665449907
2010-05-06472284727665449907151,7092.16164.0253
533531108266180909604614512577104518538335113.094103861655474819093069984546747
19 × 307 × 73336605187 × 242796522381857
2020-02-13733366051872427965223818573.059e+1219,01435,327

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
533534099037362871238.576
53353108879570164285771753.274
53353435517260290621591755.274
533533244220211261733431858.171
5335312976850441788664811960.171
53353139417349846973492769212373.562
53353344694076464553063487512374.868
533534154136386574945590312392478.459
5335343013797423903646714544472581.831
53353172054786591168203760204492683.831
53353110343123063756262130558213692993.156
53353133894630241179004739917457372993.435
53353441371458172795654863042392232995.156
53353535577266169184596154356118792995.435
533534570158686145265455975809812793098.528
53353550780062287781742195129011343131102.119
533531361743176970145689014686738256132103.425
53353142261261286564872045384995503080934110.132
533531412913898188171722391022675582753735113.444
533531714484588688132037363363263909360135113.723
533534238874735169080376824846926440183135115.029
5335314629946284501362325015202614605220136116.816
5335358519648033244864942097131184126496736118.816
53353435919864068506067821692503963804475937121.713
533531743675371044493360849702971795003135338123.713
5335345540532701793860274296599375450754627139128.420
53353182161704023391581402570261346816509265740130.420
53353354777061566601719593151670121369962057740131.382
533531356944341347590841148793173245104973788941133.317
533531419104921467864149558763142754166292615941133.382
533535427764648766157857354042218439640574606341135.317
5335318733251208754312920399191537531389997107342137.105
5335346315904954925634475947840421213695525786342138.411
5335356201517557575016984012075070980946642059942138.690
53353558183616103392170181846065628044608669100743142.002
5335337694590263324676821381689066433236213011268945148.079
5335358313422530264089647009389492081554129626618345148.709
53353144173528951877317036766248977782917943522827346150.015
53353454282448355371203692601698495320959425909292146151.670
533531123163430963108082713940094738239829795384475147152.976
533531737530591598373687138318640924679301102394149747153.606
5335314826601178265839182805946727798506998019184569748156.699
5335317991173599013356861904961459647349658109573128148156.978
5335359306265765348491954320359067672764350990160919948158.699
5335371964525791500754722568893802364185689598366332748158.978
5335312066754540505232219383884922257541143272954388999
1
51166.367
5335346152685914546014852492574856518889909162583952448
7
51168.303
5335348266905078250138903505075543962965273383178522189
7
51168.367
5335318461031113759720377801918912732862628789650524131
29
52170.303
5335335954595435647919633030378918751059607426868278453
69
52171.265
5335314381804479356238959969670149297581695775853449847
223
53173.265
5335319115382324227326959901357328111191122408652097072
417
53173.675
5335314891567510022549069842686278506331651948267813836
5279
54176.637
5335318985062490537593895925079024384337651274619323517
4681
54176.987
5335323037212031849430101034031715119020758768539432057
5913
54177.266
5335356956975113587772737559960355636304706008905089017
5903
54178.572
5335315451153386744356215651141278057880480350149725344
8445743
57186.656
5335338201278770553345162590875106676627573789537177164
5506633
57187.962
5335346354915047746340518726439663288772469762500754808
9294809
57188.241
5335359097268191056479276215724804251312518655141361343
8442351
57188.591
5335346038888681270398596265308385229925548700704305116
43179537
58191.553
5335361191970742493276790766626065176263909143353006627
25057623
58191.963
5335324476730950850338034325770721998521230083973976694
609013241
59193.963
5335347670736997409083856889708887891683820900275442975
354748201
59194.925
5335318233009916386604220974956949085938226182864688191
2219892457
60196.860
5335319068250124261103475108674027097838009365154332386
7003896967
60196.925
5335372931868794621076120581615116462685995817340726049
6209042119
60198.860
5335312228955158750766300103428348274215342293932851616
7387937849327
63206.250
5335314839089050169510780514189138572338554247901979128
6796964962271
63206.529
5335348915706031166753540378225620471541339293010037855
4236814877409
63208.250
5335359356217135932899883035200374970364350674198629012
4543591964657
63208.529
5335350649523132450697019527389531722863268795798035451
01621607444857
64211.622
5335378354666352552593612103313977554446176532516654455
01542709695679
64212.251
5335319372330190414684434006903806127639849476007862214
812471944321849
65213.557
5335361041091615283401833483136208805328057199638397292
981420493179073
65215.213
5335315091739101204152143608362690329487433362901117419
2208462226305863
66216.519
5335323346876906665304266644466049466918578295051295882
2785942354092161
66217.149
5335315766334473744463579656646481374110539447879700542
628921338881464847
68223.226
5335315658846898991069976592337207399729341993139080308
2403734941741291671
69226.538
5335319001052873337703977657345308835138065573473790920
8378770116134034183
69226.817
5335346978015141000483827872073513170952258549010467249
4900562425999636273
69228.123
5335316213874695636984679194088409505591266743642071310
54386007353640177983
70229.910
5335362014509682253583663298560395137739409744101608443
43553706344365980031
70231.846
5335364855346833978541364685295055853769898384761897848
06908724549738377361
70231.910
5335324805745755910862221266122137343677380978092215353
787570387961630954577
71233.846
5335348311524293383719800597654560655851876806985428071
235580719422806557697
71234.807
5335319324564442136184307782630999174269762260494082525
1419746252304547313199
72236.807
5335350471032254006039366561060149709988917775158018580
05827670081395645356793
73241.514
5335320188365602598994513233685089944551444778444863792
921682793561565937032631
74243.514
5335315038555228921933882494580300962772066054450681765
4395073143248577564076487
75246.411
5335360154079981642312528526837587630548751361027080030
3562807871307032257397129
75248.411
5335320761428773146376683121691967984852966101031593977
22602813994137699622425959
76250.199
5335351330351099767665977061306584019323847850571953319
61473642093259153403416529
76251.504
5335362286241224857753849286040751784625144199024446162
24816012302754069404904417
76251.784
5335379407905256364293034094897524843206595213259018868
39123245023889339548234663
76252.134
5335361861602446521931844230680528246680620250671052038
659237750541479381353950681
77255.096
5335364626794083383875245818540373079598639510309913525
26296174192134926196948803089
79261.803
5335315978264631975738520617609186449269418588837641716
320578888202061479996207933559
80263.108
5335319256463929643355444319482721714703635736940627832
2376222492954935859205711538351
81266.700
5335316431820663706525464910888402369681930850077243124
72174980833252026928348295846951
82269.793
5335319939009254660239304479598079420542416535847506681
01271877042345329943828597065623
82270.072
5335365727128663772802556645622425558975665428765420783
02704038912081827935932973138217
82271.793
5335379755850159917282644656844459559914312267957429650
71238833721344411513106173549241
82272.072
5335351149460957234414394815884351569536770092401170285
86827393112355718914906087482973521
85281.397
5335320459736448099869830710791887800255360228704701601
422160610712758269475184361308093407
86283.397
5335321184931765098381071750218373970954156016649408794
0156451009620473818187478477340880711
87286.769
5335321040502700718285781630840005247513731041390957735
64183314232496722677022927428032887823
88290.081
5335325531362997342560602924904391549860209728906264422
35639904212043051669164035170409479679
88290.360
5335363123489285299314378561173346217704575159123037051
25348299119569331700027075302114425849
88291.666
5335365495503720292822303373079883307299456610527203719
45660632540757464466126542557585553355433
91301.685
5335367816991717115286503076081556572078734698937920937
314942940748696458204357422687885392324609
92305.057
5335327126733132050819306087217371973709581017107118426
6995951293641756971395975128316109546656303
93307.057
5335320207028266520731219550624250417865370895363307497
81021372165857414894480967318637567888356031
94309.954
5335380827923695615068980259361318151422830467727752622
12970112618532300869928769193324365210146577
94311.954
5335386837826834989762254453339378988519373656153136436
366476932169305599926308162101424671966069060057
98325.345
5335321469698395450715868644801826151020888535857545518
3039677613244099619121353832161226251516422333167
99326.651
5335325874554105516600266891646485805315325066498540441
64353779481331941622180727665397802466706912082663
100330.242
5335368728583806532877131547053157856386558172101816137
73947855787408792597350866739761958640918560087108
6873
104344.940
5335327491369113517964500471215328737076170206175118882
45923651124635119715951773055289818619579878542173
47991
105346.940
5335388005095892502572779263449798199840865302305728815
33968332743670698883507656386863214466812911390420
3221530929
110365.228
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-25T03:26:36kkmrkkblmbrbkManual testing100000000200000000012---0.291--11.189%
2020-02-24T10:42:32tanaydinnew100000010000000012---0.009--5.080%
2021-03-15T19:21:37Seth_TrManual testing20000000034200000000---2.935--15.763%
2021-04-15T17:40:53Seth_TrManual testing40000000076400000000---6.493--17.371%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-30T15:16:49ATHcolab-Pp215000000150000000027--0.146


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:08:00ANONYMOUSManual testing??20.28876.80055e-150.0001.42717e-14


ECM factoring results:
Total ECM effort:14.254 GHz-days
Estimated T-Level:31.690
DigitsB1CurvesCompleteFacMiss
20110001417 / 10014.1700.000%
25500001417 / 2805.0610.628%
302500001107 / 6401.73017.710%
351000000534 / 15800.33871.314%

ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000003100.319
250000250000005732.947
100000010000000053210.95
100000010000000020.041


Lucas-Lehmer results:
Exponent "53353" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:03:04Oliver KrusePRP
320119
1280473
34012217383
1013441942297
13436814879436599113
41826517714093510457023
7605B6FC20D881DFno
2017-09-21T20:27:59Oliver KruseManual testing
320119
1280473
34012217383
1013441942297
13436814879436599113
41826517714093510457023
7605B6FC20D881DFno
2017-10-02T11:02:53kkmrkkblmbrbkManual testing
320119
1280473
34012217383
1013441942297
13436814879436599113
41826517714093510457023
7605B6FC20D881__no
2017-12-07T03:21:08ATHxps
320119
1280473
34012217383
1013441942297
13436814879436599113
41826517714093510457023
7605B6FC20D881__no
2020-02-13T17:16:15player_3236MacBook
320119
1280473
34012217383
1013441942297
13436814879436599113
41826517714093510457023
7A11F330271AA3F0no
2020-02-14T02:36:03Niels_Mache_NextcloudSuperDry-X
320119
1280473
34012217383
1013441942297
13436814879436599113
41826517714093510457023
11082661809096046145125771045185383
7A11F330271AA3F0no


P-1 factor-bounds graph:
B1 = 400000000, B2 = 76400000000 (P-1 stage 2)
B1 = 200000000, B2 = 34200000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 200000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 100000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
290
2100
2110
2120
Last modified: 2021-04-30T15:16:49+00:00