is 2 122453 - 1
has 36863 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
Actual267242.655774.6269%100000000023100000000051.230020.4671%293.885779.8200%22.3200%
PrimeNet2400.000057.5000%1300240000.00009.1679%0.000061.3964%3.8964%
GPU722440.000061.3636%2000340000.00005.8956%0.000063.6415%2.2778%
Difference+23+242.6557+13.2632%+999998000+230999966000+51.2300+14.5715%+293.8857+16.1785%+16.1785%

Known prime factors (7 factors, 393.3 bits, 0.32115023% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12245325215521771031.23210296
23 × 32 × 11 × 13
-11132.870e-94.206e-88.476e-8
122453185119547291134.10875588
22 × 3 × 6299
2008-07-26462992.544e-81.314e-62.427e-6
1224534546804792071238.7261856551
29 × 64019
2008-07-2629640195.535e-71.331e-52.466e-5
12245322635643189829271651.0089242584171
29 × 59 × 5401861
2009-01-255954018610.00330.00110.0021
12245347138120576536583770312271.99719247433944671255
5 × 2777 × 1386203380963
2015-02-13277713862033809635,218.7285.94534.06
122453101526091482983991004012373.10441455126245573400
23 × 52 × 23 × 119723 × 75273623
2014-05-131197237527362322,0460.01600.0290
122453104932782888409232342508048732993.08342846146230965853161012
22 × 3 × 11 × 751 × 49919 × 8658287861789
2017-06-094991986582878617893.089e+101,786.03,335.8

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
122453466788597474353950332065.339
12245311465005521838140836392269.958
12245384170244472400098199032272.834
12245357076955363109220026820792582.239
122453419030001991916599479117832685.115
12245310291985092710238552114988892889.734
1224531188612305594543179261680484648732103.229
1224532122396631880026840287778757883132104.065
1224532560033370012194409723098312297732104.336
1224538726187541229886183682948542959932106.105
12245318794464093453121152979763774632933107.212
122453214327832526570010290512496189441734110.723
122453461619319274968823160126438586200734111.830
12245310566060137510316378190066302760159136116.347
122453259517774161750488512748781899103135337120.965
1224531067001678009631304880249984741794973738123.005
1224531905247621077948039915431815340179608138123.841
1224532298108381266790027250050362407785372738124.112
1224532645934871309366478801499799151535852138124.315
12245319425109264182175679501516204078859441739127.191
122453477108880082259993674145627528109077571140131.810
12245322003537191498496763927960776279513868702342137.337
12245347391221850395049090740873382871326370823342138.444
122453540438812699064019790954187212190923049580943141.955
1224531163997199463055697646544840812291177243923944143.062
1224532375221032377853795984281952517576249540327144144.091
1224533967627132896557720147031467667729758184799344144.831
1224534785749141989383273177500208612062808128943144145.102
1224538545475940450019957226667349023746122508110344145.938
1224532690500404047838843788145073329889898820892744947154.237
1224534804181286653170966741639989866091886375561833747155.073
1224535794800191765220411014253814688990168280441367947155.343
12245319752286759081329541924384483743049307334145627348157.113
12245342542478316346288655601608671862966256570792498348158.220
12245348981426553561433209243502459195824304895639580948158.423
122453485144834272092275664340780812353776803259961855949161.731
1224531044905020064007151304701487194455871606841095448950162.838
1224531203054935237454626129048135708534573242869077284750163.041
1224534946334172225369175264126609173779430549064607206350165.081
1224538832217988886686798903610234553651418970152478731950165.917
12245310653415315092732834646794461007751776931338705407
3
51166.188
12245359892437650485647258518800151525050227919070482970
967
53175.323
12245310004578834479583435042903957385069084398564243223
0761
54176.063
12245312067516167559211503368111358443701122298269770514
1287
54176.333
12245321547863461142870182838349936385645859905634227121
1231
54177.170
12245343969984222747472693441829500577099108296142335051
8559
54178.199
12245388593571460858056151691723843214562627387607861816
9199
54179.209
12245310799666372241078266523173304104931892311577392995
286097
56182.817
12245321759867132442218719547359844220751859608499437544
361217
56183.828
12245349806421678089801026493844464367307089526756972953
3456321
57188.344
12245310727307881355827884540263959123814120993362237870
36337991
58189.451
12245312233180130190984880463026171272704943924322575146
816052943
59192.963
12245326347825281006259117159384253703178253806626523222
385872553
59194.070
12245389809792090531798752088649340268049601141187534946
876215511
59195.839
12245310832850997410325558878834485206362424405985004018
0634544537
60196.109
12245312472439700144372578515953001365771694418814165614
6956531151
60196.313
12245319343234427529737067284887215802740314974078845646
8047328481
60196.946
12245322270898497615786904092559600098240358803327080768
3686443463
60197.149
12245326863142580257221436083005599225638106996835492144
1389866921
60197.419
12245391566314270741723357801578406749280912155683621899
1927635927
60199.189
12245319721554202223194067187330176714345661262224865586
54051061217
61200.295
12245322490015917453905262115794574554540338213682707301
637095094041
62203.807
12245348438999806575566649004279981174378540768468505106
181661160111
62204.914
12245311087260943952454269139629880004300701286889646565
18706525352943
64209.430
12245322339331298533170177728650848974048707119206242678
67695492796223
64210.441
12245327231922251798183271778893865914074049494987537611
248208628183169
65214.049
12245354868640339040423938984797669797217720172610124443
259560800719409
65215.059
12245311196345542015297728407930665294940755768577287480
1667719708668401
66216.088
12245319992293497123050314402278043501184905610022386170
8577938067102713
66216.925
12245324114690782550166461031632681978058982837840260376
0678964112811671
66217.195
12245340281767526482540014457707280768705070741510525144
3177778327345193
66217.935
12245322646007676179783823105501704094251423530154311311
0559300571283217447
69227.070
12245327315599015636627775269666775394777465511909418711
1016509018675807049
69227.341
12245348774974880958957234249802838206868643788554211810
3474472070299653137
69228.177
12245320053724725006244298311660798642420142337027911103
52737670962478265473
70230.217
12245323088923908925495993759631996557484077723070979972
31543875798190263079
70230.420
12245349728927932439393240009696673911853009286267677683
27360643280886619409
70231.527
12245349254858826805547411209085573832660194142315739457
889119551421343942159
71234.835
12245356709748597420547110839837435552789995057027921783
696812798335103277257
71235.039
12245312214146541397319899880533706884777322609681501200
6427983855754237611647
72236.145
12245341633415651839609515654246792001746608241604300593
8063651967954989669889
72237.915
12245350218197567476272273738562290656864450071086289918
7470395147883418197263
72238.185
12245389670057153736664632388946393874106780141496983718
7940249445992452614919
72239.022
12245328232169475912918954370172313139516209794281367438
3693681862018612312658977
75247.320
12245350411611190893570757161598654349713500820491460867
8611639307274018047756201
75248.156
12245360806451040421205851526699055106123294409161746529
5208428956765142601057767
75248.427
12245310157257859980995392594544326825107850459919486894
60677318739340690039635161
76249.167
12245320726624180402815897374414972051079470352494834657
04657680947530508184818329
76250.196
12245344641006407040226469803172684573468206158588684821
53414133958985302454842159
76251.303
12245350907597564106737236772964520755339868255314706640
984293879920306998538438007
77254.814
12245310964479160938535520019482039427386490976420198360
7082051746497566178422424897
78255.921
12245350566513237298221649001605711302353154458582596952
86192912125346755618627084721
79261.449
12245312419869650255919403041098393087703854624079890065
1405109229499753261616788530143
81266.067
12245391180371678511034536236573929627719253560289995206
8602383037580706661585802519911
81268.943
12245310498082987284204142902788157766727034781398346613
48748328784367238440121119298353
82269.146
12245312662780540128589874769021167285592331407065543909
94697506008195670097509933091551
82269.417
12245322610772782771911038851925249020955341539625208733
50586294136465312816718347128663
82270.253
12245392963699994109867511312616070618641437280543023082
84142839005359097837507447706727
82272.293
12245322833234134891913195025456983751082746962364039515
3036370195965280217700724895810441
84276.911
12245352263264323955561162954664656876793593667340307710
73084414433016975687344975839452233
85281.428
12245311256462688914323118150521484429316307167947410545
930627057466849018116010690217830143
86282.535
12245312836616346361324033975183314205438892917408199035
0690303655720826698672934174730391239
87286.046
12245327647506297935697603696952018930526239741983206843
2156060199007590122402635924649350769
87287.153
12245394239914146889459505103967325934603252615121006298
5816904305116485284725433551956985103
87288.922
12245311367212017737450951089408793896024696761208329267
41015516047751951746720016660015128801
88289.193
12245320297394185435807469815912471190837180374165771853
46303065719598329403637466331666487913
88290.029
12245322991606470561864325336951837927422028335976423816
51779992295799503695720082616373667896247
91300.175
12245323441282010212262360033189918043362105295716221959
670005510272923747818922897018611124394679
92303.525
12245357575191240787415376611466627797396326710089180906
3279107427814168949358296795508915682880057
93308.143
12245342268779662177657637450900768573693241650024536632
48680311958194125845875083741726125557525489
94311.019
12245323763086067738221439344825142204726739126293931655
06193735173967145708287881820205978396826219231
97320.154
12245328663018209746432060150219265891465385763989711814
77089189680987369882940810618537416881096949777
97320.424
12245351180938495712802019267175880972705274625019376575
98502994267027239073305164947377836634969336601
97321.261
12245321042931426730043701442512882397770071950944151473
602252740562557132956673422648325848819216049929
98323.300
12245351684494074724335823519903091109644056556930639996
6589259618414256115268197865434702359108507340807
99327.919
12245310658293337629739717647499556360796937841280644244
90633473299522353101527828387900681763735373552093
9553
104342.251
12245353060849549532857686677506398960642104873349862353
67951843006973214329377831555692714949546711013181
0645433
107354.532
12245313032514855126474967067569944221655231650623957972
15785874855630656795290087266453626784957092464432
371786839
109359.150
12245395678101450256564791959337945308889315028581561881
11467486593712523974056284578341643977406188691783
358326303
109362.026
12245324125732500312129815970662069147233678976235865458
33849235948509412933894631589904889942098751390903
9109200060406011631
119393.258
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2017-03-01T04:17:02kkmrkkblmbrbkManual testing100000000200000000012---0.771--11.899%
2021-03-16T07:09:20Seth_TrManual testing20000000036200000000---8.183--16.687%
2021-04-19T19:07:13Seth_TrManual testing40000000080400000000---18.02--18.310%
2021-04-26T19:38:33Seth_TrManual testing1000000000231000000000---51.23--20.467%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2009-01-25T15:06:00George WoltmanManual testing??51.008160.0010.0010.002
2008-07-26T12:48:00J FeitsmaManual testing??34.108116.74789e-90.0011.39779e-8


ECM factoring results:
Total ECM effort:31.526 GHz-days
Estimated T-Level:31.582
DigitsB1CurvesCompleteFacMiss
2011000984 / 1009.8400.005%
2550000984 / 2803.5142.958%
30250000760 / 6401.18830.470%
351000000500 / 15800.31672.865%

ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002240.613
250000250000002523.447
2500002500000080.109
100000010000000050027.36


Lucas-Lehmer results:
Exponent "122453" not found


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T21:34:19Oliver KruseDoppelherz
2521552177
18511954729
454680479207
2263564318982927
4713812057653658377031
10152609148298399100401
10493278288840923234250804873
F0D9B1F748BA5EB8no
2017-09-21T21:57:21Oliver KruseManual testing
2521552177
18511954729
454680479207
2263564318982927
4713812057653658377031
10152609148298399100401
10493278288840923234250804873
F0D9B1F748BA5EB8no
2017-09-22T10:00:58Oliver KruseManual testing
2521552177
18511954729
454680479207
2263564318982927
4713812057653658377031
10152609148298399100401
10493278288840923234250804873
F0D9B1F748BA5EB8no
2017-11-06T12:50:14kkmrkkblmbrbkc4.xlarge
2521552177
18511954729
454680479207
2263564318982927
4713812057653658377031
10152609148298399100401
10493278288840923234250804873
F0D9B1F748BA5E__no
2020-04-17T15:37:52Oliver KruseAddPrpType5
2521552177
18511954729
454680479207
2263564318982927
4713812057653658377031
10152609148298399100401
10493278288840923234250804873
798BC9931F36CA__no


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 231000000000 (P-1 stage 2)
B1 = 400000000, B2 = 80400000000 (P-1 stage 2)
B1 = 200000000, B2 = 36200000000 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
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)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
267
2
230
240
250
260
270
280
290
2100
Last modified: 2021-04-26T19:38:33+00:00