is 2 12421 - 1
has 3740 decimal digits
takes 0.000 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
Actual2672,392.232379.1045%1000000000000100038167631942540015,586,772.676345.1543%15,589,164.908688.5397%9.4352%
PrimeNet2400.000065.0000%500100000.00003.2599%0.000066.1410%1.1410%
GPU722440.000268.1818%500100000.00001.3505%0.000268.6115%0.4297%
Difference+23+2,392.2321+10.9227%+999999999500+1000381676319415400+15,586,772.6763+43.8039%+15,589,164.9084+19.9282%+9.0055%

Known prime factors (7 factors, 478.7 bits, 3.85422754% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1242174527516.1853
3
-137.033e-133.171e-105.820e-10
1242153559353825.6752156
22 × 72 × 11
2008-08-2649495.278e-101.401e-82.852e-8
12421904186957331531446.3623639751056
24 × 32 × 41 × 616489
2008-08-26416164890.00149.616e-61.794e-5
124217885799109549974811859.45231743817363940
22 × 5 × 11 × 29 × 173 × 1373 × 20947
2008-08-261373209478.53806.976e-77.991e-7
12421604906320998011710905264412685.6452435014576113081518820
22 × 3 × 5 × 11 × 3689416024413759877
2008-10-161136894160244137598771.172e+957,483,151107,362,519
12421715372773710815409737740716755131102.497287969074032209729384808275
52 × 7 × 11 × 97 × 29723 × 49537 × 146309 × 7158961
2008-10-2514630971589611.507e+130.00020.0002
124211053661094030774218455274186068176337805339944142.918424145034228634658423345216193614176719
3 × 4937 × 6263 × 25589 × 564745397383 × 316403718372809
2010-03-055647453973833164037183728091.353e+135,082.49,207.4

120 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1242139916179010311341.860
1242167386341369046936311962.547
1242148427668425715353300092272.036
12421587704950237430972664872375.638
12421422358298195472771989897932685.127
124213609168844763288135395807432788.222
12421314770968896139992780911230291131101.312
12421450818533850188187786366406840731101.830
124217130236702991680341669656318759332105.814
12421323983911782638215225090060935267334111.320
1242153314586706345940041524602397607337736118.682
12421531395150763860960823614476468174351137121.999
1242124145548993424678266080286971322666067139127.505
1242138314902913766682447983292471159415450339128.171
12421381890864549087563482645732165109870732940131.488
12421546948405853802004534265564674722679847340132.007
124212855494769454289542800850837998097755264508144144.357
124214770169727487271979586980168870308411889512144145.097
1242128461180462249848843671138481069143336110838345147.674
1242140762423843066301991925209738513057160979727145148.192
1242164683073161939931898782257952814596305651830345148.858
1242129294202741911047952958329974157802187047526796948157.681
1242178526200354831510178816219265102977927618566727348159.104
12421355506439280443918822678871045397475012889668276749161.282
12421564128598192504378707412436777597505173254993903149161.949
124214820635393539897304620545338449413418871313956768150165.044
1242156433406477560429229545144843413138542763444989084
7
51168.593
1242125548720430440460296170786506852445945125977556167
13
52170.772
1242121832090477464046707901254579840585235940910295925
663
53173.867
1242134643835486051669773628392238318543070869022741337
959
53174.533
1242142042812037492773831927326675724009268047174930616
3337
54178.134
1242142058124845531461091903110097450509761765312647015
154369
56184.778
1242119040694875194361844927202059961922389524037293284
6769751
57186.957
1242130214362727987503973235986417961527271493690377468
9806943
57187.623
1242143273351268755249952992434657658796901252710690728
2715991
57188.141
1242195270661867029686744315018354611320832679684380428
8637047
57189.280
1242125819011272689727932192031883451660594426556578436
94070393
58190.718
1242143131252518516900772079729951026618259834539137074
09646513
58191.459
1242183089597170753316104687397177949630919009823272931
36728487919
61202.370
1242122517858110287247086133583597714187429626102627616
307242040961
62203.809
1242132250330500065225132466671777313371566596607696479
058974661257
62204.327
1242171002366169641214639935653729141179076971188378202
219253201769
62205.465
1242132144428564475090638407860340601607790506886982687
2118725674351
63207.644
1242151007772074338178855139182122675921913827409161238
6769995394743
63208.310
1242123176926960962603028355552141589816567895000740915
893256560713823
65213.816
1242151026350094798820538181888112561069102737451516599
758025489150591
65214.955
1242123100819789713857249177908005917073597747238032348
6691973194986089
66217.133
1242161924184083447323893340376494810521435010450990617
5600964019139313
66218.556
1242138014562293842014555369578260566684324718153225596
348807446784011561
68224.496
1242144502250654961781331715372601050080986109615351425
4644518349609956407
69228.045
1242163736625596889571040462165149768091128278877617205
0792949540719422959
69228.563
1242117273068356196599158942542344562642593555107202182
38776731700319086721
70230.002
1242138028407935150716982490815753648387970197140491776
30166365629926095457
70231.140
1242117216347964680046392094819499569817440193084088368
492692686302728254903
71233.319
1242127319432702730207626795353194396890063831177883422
162186713155414681279
71233.985
1242139127199817234312778901050554045426176478338904123
275186356896821949623
71234.503
1242133166192345623366773087515738384593856517913032956
855892019041381221144489
74244.230
1242147500994958593890609325237821167665275172399121774
429446150421196434865393
74244.749
1242175376045938796724227145819636807653266615560827359
871756936837912618055849
74245.415
1242134124495490239342276047696063650598381219389881937
4827061411035136243418671
75247.593
1242175128530051725944436376237978767677066338246696838
9201648392031146808278607
75248.732
1242120360353610363741838021772875188170257871461941178
03481289171333589951680033
76250.170
1242129160328207790216284731585946413434766544011635075
95329813620449449439553321
76250.689
1242134136924293726442373746903864007270608756566887436
857153514362579448217385527
77254.238
1242120956275069127880418375723186949645586214436502195
71651222229820871378006473919
79260.178
1242156175505756807034664764965000723639750010579017806
49162429231719113685848258423
79261.600
1242125431962754010674618070066445356881455571374697311
547736405780215598813263293617
80263.779
1242155991039591649794610098118878436186687229905115753
142031249712905278180579743889
80264.918
1242125441225568385505707882355042728698566588006604200
06653079964899958537297091170729
82270.423
1242140370922521802301481253551364021128944082659376455
39429464510300465693607390305697
82271.089
1242118276858999086369874506619983097728673609578731313
179601896066308957464354526879863
83273.268
1242140238354614114981173262609707168245209860145722370
797092474410678578899417234661271
83274.407
1242157629825569030493388247608467444681185079790251834
367789080227702919732885605659727
83274.925
1242115618083120768935439402875219537962366038033091991
4016450639121860081188688481761313
84276.363
1242130087237427823601224933834225064026768156483553490
9117059701559162806747477977312680319
87287.275
1242150261422537767191103495922331021174616644470527961
3718718958784934756207309543618566279
87288.015
1242113621194706249098876373548674803244248581010741085
77336190508133807672945949824775549801
88289.454
1242129988438543261472018997425136461278107552470802511
28394910840404642449636868247600543817
88290.592
1242142949780101831355807459295162532497546804415280984
59928216782130015498932765533002474129
88291.110
1242168154037633082238830600433435701610785643074920819
98166890958139698962169453362554861897
88291.777
1242130854923747793028084140069435431205537525968968071
306079864583240172961761812725473899663
89293.955
1242130866161709801300631453197133136586875641468192639
55801947177460861057104285862148116276631
91300.600
1242137458330374721754513702406035640150806546624550373
771614967841364832575862158357260889075033
92304.201
1242159440035594556120298628621814045941473130548712978
255193227746925174658828434935040912316369
92304.867
1242150793159626807200133281585026625339470216214446239
5077383882437277344553602850751126192597719
93307.962
1242122995249021517710040267069548143814550951978892834
50228214067795140370321222616991393320184401
94310.141
1242126919692719824288201305976381877459417675008725051
794864511421354771689676233026935688690857487
95313.690
1242123003624337463615321603124227412704100809316999928
4834051717294625592002811112448312661748478537
96316.785
1242136502861599655361075584358163357453747368647816896
4444765865739512360028567398462112830207672641
96317.451
1242116525697527961297620973716803367706445999081186279
76811502513405958307440056429683548684337198039
97319.630
1242144298875327554839774958952979354018801680004039321
30424785684295092491798506770403794072202032463
97321.052
1242120062439393303447267787305018121814180210653752519
35115867442699307069716500618798436071063535933649
100329.875
1242131835698487413961253847157716419869375767390736020
98051218168106960094138846713123388292194454949257
100330.542
1242145595446640214648248949947703134994627846249129997
59163197034586087855386005693215496780767349203409
100331.060
1242127204487664375150948800754608405409554301432158498
41317506567596863765584904250518588289688721891580
7
101333.637
1242145445722715578103512253406940936385709592855378209
71756052996181254710645934971269395455076862814768
7
101334.377
1242112316106596663716277983081922045850583009735235698
72278308478166058547785850855350258327975983582525
53
102335.815
1242123726191011715002903654671231316236049678163293834
35614631364145074149358858289889467592523761440032
76439
105346.727
1242133980918517552770900494927524715417446294974089113
30511555853965973695983528462982713285802482340824
62543
105347.245
1242133869333768238893204577096590871660177788267327718
35620633616464003698203095956037942350805133549962
669049
106350.562
1242153744904927919539179206135393750366668800659081115
04578514772444445057639769892362852621185562105937
881457
106351.229
1242124420626217959203413363421283637463839259208868794
83899366545839494883356320301829384971514820668596
51434377
108356.734
1242124340435052637662450833200478022620327642392274794
82770854723091794730303984891412624092750573376287
704166511
109360.052
1242140054465295630594964086956524900335767257067193382
61017229704459671568107191307681263172990963870692
32491345839
111367.414
1242118199960101458455527877356980056492675484710593646
72965680905617800351718964831344385737720850399684
9242449814679
113372.920
1242118140196031679270694732459320255918251582045690636
34124634899478621858653650820023086357604219820145
93728417565297
114376.237
1242128785423349858821544964316653196698822937285863580
96370817889130667057312337825038340276250527993353
50389027617321
114376.903
1242141226808165787815051673793992981146314783992233686
28676910803249193245372454254829318046917059248914
55701781918577
114377.421
1242135955653251493806383313509731291161733053134305312
77948380207000623884188773164353691781655264181559
268649492951612729
118390.512
1242121452912459949283932815556272127903731770471035550
98482279448232412237803166010866323857681230997606
5658443061236082167
119393.089
1242130725103321716684923560928449149058914019065891999
37894041314337526249978728982496645860825876746438
5519086701045788079
119393.607
1242122080811716147121094513099733193567378181649587932
62324325886607370879941188939107554000241013380345
2962615600506082800681
122403.096
1242126796669698740789083292059397439364104792509403720
45516589316871354962169366976197875874114218736590
67614640761204841854183
123406.697
1242119257615248423545533975415773671584770406845880146
56931784112849594858334976205465463949868732186083
88960020026266438071804337
126416.186
1242116456166547692964938107777838157169959937437988398
54612450353511875295693769880648686769759620041969
938944852858916832886352887
127419.282
1242114352122916192615780105858113644221981841110029096
83371550745783417560071307716647246317918670036322
7404023412497558830177361823599
131432.372
1242132510632712335718220543159571185971089619118676192
17663091137025150696973084057365329410948961179727
34036944287584702807522382104537
132436.873
1242124229199241522440718224200533617768673960440575805
74347771931690734059933130355432659050097932298415
3949571346920825146136220571104828999
137453.059
1242117412484536933361866826029352084780542367050127270
69484013332791014160573774405271019278822974768083
1306659814140082615068182318537780084561
140462.548
1242112977002350840326598489434895228224394809891448351
03074350616529159123450816851016332537928398405409
314791435968417937053186423653665136362077647
145478.734
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-09-09T21:44:25kkmrkkblmbrbkManual testing1000000001000000000012-
skipped known factor: 74527
skipped known factor: 53559353
skipped known factor: 90418695733153
skipped known factor: 788579910954997481
skipped known factor: 7153727737108154097377407167551
--0.183--12.229%
2021-03-01T20:26:27gLausslaptop-klaus600006000000-
skipped known factor: 74527
skipped known factor: 53559353
skipped known factor: 90418695733153
skipped known factor: 788579910954997481
--0.000--1.285%
2021-03-01T20:27:48gLausslaptop-klaus6000006000000045148.8580.0014.89939e-60.0023.613%
2021-08-27T07:03:05Seth_TrManual testing400000000400000000-
skipped known factor: 74527
skipped known factor: 53559353
skipped known factor: 90418695733153
skipped known factor: 788579910954997481
skipped known factor: 7153727737108154097377407167551
--0.114--7.761%
2022-05-12T22:28:54-Anonymous-T58101000000000000100038167631942540044142.91815,586,7734.89939e-631,173,54545.154%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2010-03-17T00:00:00Never Odd Or Evenv4_computers??46.362140.0015.19040e-60.001
2010-07-20T00:00:00Never Odd Or Evenv4_computers??147.674453.88263e+125.19040e-68.22648e+12
2010-07-20T00:00:00Never Odd Or Evenv4_computers??88.22227667,440,3105.19040e-61.41417e+9
2010-07-20T00:00:00Never Odd Or Evenv4_computers??62.5471952.605.19040e-6111.5
2011-04-14T00:00:00Never Odd Or Evenv4_computers??88.22227667,440,3105.19040e-61.41417e+9
2008-08-26T19:58:00ANONYMOUSManual testing??25.67581.67944e-101.69822e-51.16425e-9
2008-08-26T19:58:00ANONYMOUSManual testing??46.362140.0015.19040e-60.001


ECM factoring results:
Total ECM effort:374.844 GHz-days
Estimated T-Level:42.659
DigitsB1CompleteFacMiss
2011000633.2170.000%
2550000220.2770.000%
3025000063.9720.000%
35100000014.8190.000%
4030000002.9875.043%
45110000000.53258.753%
50440000000.08491.916%
551100000000.01298.788%
602600000000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
10.00000e+0
10.00000e+0
5000050000001880.039
250000250000001360.140
11000000110000000051223.18
25000000250000000040041.15
270000002700000000606.666
44000000440000000014225.71
50000000500000000021043.21
10000000010000000000510209.9
110000000110000000005424.44
various1640.4410


Lucas-Lehmer results:
No L-L results for M12421


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T19:09:00Oliver KrusePRP
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697B2no
2017-09-21T19:22:02Oliver KruseManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697B2no
2017-10-02T10:04:37kkmrkkblmbrbkManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697__no
2017-12-07T02:54:39ATHManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
FE3B260707E697__no
2020-04-17T13:47:07Oliver KruseManual testing
74527
53559353
90418695733153
788579910954997481
60490632099801171090526441
7153727737108154097377407167551
10536610940307742184552741860681763378053399
CADC35FCE6BD27__no


P-1 factor-bounds graph:
B1 = 1000000000000, B2 = 1000381676319425400 (P-1 stage 2)
B1 = 1000000000000 (P-1 stage 1)
B1 = 100000000, B2 = 10000000000 (P-1 stage 2)
B1 = 400000000 (P-1 stage 1)
B1 = 100000000 (P-1 stage 1)
B1 = 600000, B2 = 60000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 60000, B2 = 6000000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
TF factor-bounds graph:
267
2
210
220
230
240
250
260
270
280
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Last modified: 2022-05-12T22:28:54+00:00