tables > repunit > 23

Base 23 Repunits

Table

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(available: 0-999)

Format: small prime × proven prime<size> × (probable prime)<size> × [composite]<size> × {unknown}<size>

0: \[{23^{0}-1\over22}\] 0
1: \[{23^{1}-1\over22}\] 1
2: \[{23^{2}-1\over22}\] 23 × 3
3: \[{23^{3}-1\over22}\] 7 × 79
4: \[{23^{4}-1\over22}\] 24 × 3 × 5 × 53
5: \[{23^{5}-1\over22}\] 292561
6: \[{23^{6}-1\over22}\] 23 × 32 × 7 × 132 × 79
7: \[{23^{7}-1\over22}\] 29 × 5336717
8: \[{23^{8}-1\over22}\] 25 × 3 × 5 × 53 × 139921
9: \[{23^{9}-1\over22}\] 7 × 19 × 79 × 7792003
10: \[{23^{10}-1\over22}\] 23 × 3 × 31 × 41 × 211 × 292561
11: \[{23^{11}-1\over22}\] 11 × 3937230404603<13>
12: \[{23^{12}-1\over22}\] 24 × 32 × 5 × 7 × 132 × 37 × 53 × 79 × 7549
13: \[{23^{13}-1\over22}\] 47691619 × 480393499
14: \[{23^{14}-1\over22}\] 23 × 3 × 29 × 71 × 673 × 2969 × 5336717
15: \[{23^{15}-1\over22}\] 7 × 79 × 292561 × 74912328481<11>
16: \[{23^{16}-1\over22}\] 26 × 3 × 5 × 17 × 53 × 3697 × 139921 × 623009
17: \[{23^{17}-1\over22}\] 103 × 62246266355102810647<20>
18: \[{23^{18}-1\over22}\] 23 × 33 × 7 × 132 × 19 × 79 × 163 × 271 × 1117 × 7792003
19: \[{23^{19}-1\over22}\] 2129 × 63877469 × 24939218613613<14>
20: \[{23^{20}-1\over22}\] 24 × 3 × 52 × 31 × 41 × 53 × 61 × 211 × 941 × 272341 × 292561
21: \[{23^{21}-1\over22}\] 72 × 29 × 43 × 79 × 170689 × 5336717 × 408030421
22: \[{23^{22}-1\over22}\] 23 × 3 × 11 × 3937230404603<13> × 39700406579747<14>
23: \[{23^{23}-1\over22}\] 461 × 1289 × 831603031789<12> × 1920647391913<13>
24: \[{23^{24}-1\over22}\] 25 × 32 × 5 × 7 × 132 × 37 × 53 × 79 × 937 × 7549 × 139921 × 83575993
25: \[{23^{25}-1\over22}\] 6551 × 292561 × 261968569374120475321751<24>
26: \[{23^{26}-1\over22}\] 23 × 3 × 47691619 × 480393499 × 21001515080686141<17>
27: \[{23^{27}-1\over22}\] 7 × 19 × 79 × 4591 × 7792003 × 15785281 × 44765293701223<14>
28: \[{23^{28}-1\over22}\] 24 × 3 × 5 × 29 × 53 × 71 × 673 × 2969 × 10781 × 598193 × 3391669 × 5336717
29: \[{23^{29}-1\over22}\] 233 × 1741 × 85087 × 11410109 × 356760584484267703279<21>
30: \[{23^{30}-1\over22}\] 23 × 32 × 7 × 132 × 31 × 41 × 79 × 151 × 211 × 292561 × 541119751 × 74912328481<11>
31: \[{23^{31}-1\over22}\] 40888990028603<14> × 1817748739889319695512796411<28>
32: \[{23^{32}-1\over22}\] 27 × 3 × 5 × 17 × 53 × 193 × 3697 × 139921 × 623009 × 15887591750468908417<20>
33: \[{23^{33}-1\over22}\] 7 × 11 × 67 × 79 × 27919 × 23130823 × 3937230404603<13> × 37942113104611<14>
34: \[{23^{34}-1\over22}\] 23 × 3 × 103 × 239 × 117539 × 209209825938101<15> × 62246266355102810647<20>
35: \[{23^{35}-1\over22}\] 29 × 292561 × 5336717 × 15716677201<11> × 29228211639650804163601<23>
36: \[{23^{36}-1\over22}\] 24 × 33 × 5 × 7 × 132 × 19 × 37 × 53 × 73 × 79 × 109 × 163 × 271 × 1117 × 4789 × 5689 × 7549 × 101089 × 7792003
37: \[{23^{37}-1\over22}\] 1925658337781<13> × 5713839242138307627889538424597962861<37>
38: \[{23^{38}-1\over22}\] 23 × 3 × 2129 × 493811 × 3195383 × 63877469 × 1970307281599<13> × 24939218613613<14>
39: \[{23^{39}-1\over22}\] 7 × 79 × 47691619 × 480393499 × 459408054528299360264076035007841<33>
40: \[{23^{40}-1\over22}\] 25 × 3 × 52 × 31 × 41 × 53 × 61 × 211 × 941 × 5081 × 139921 × 272341 × 292561 × 1206964869343609001<19>
41: \[{23^{41}-1\over22}\] 83 × 117018989947<12> × 317018172698691402707105521066838685448001<42>
42: \[{23^{42}-1\over22}\] 23 × 32 × 72 × 132 × 29 × 43 × 71 × 79 × 673 × 2969 × 170689 × 5336717 × 408030421 × 22865554874031409<17>
43: \[{23^{43}-1\over22}\] 173 × 92107 × 102219917850387811990824636930475340357519336809223<51>
44: \[{23^{44}-1\over22}\] 24 × 3 × 5 × 11 × 53 × 924209309 × 3937230404603<13> × 39700406579747<14> × 1853387306082786629<19>
45: \[{23^{45}-1\over22}\] 7 × 19 × 79 × 292561 × 7792003 × 74912328481<11> × 480211292412647894626919619228001<33>
46: \[{23^{46}-1\over22}\] 23 × 3 × 47 × 139 × 461 × 1013 × 1289 × 1641281 × 52626071 × 1522029233 × 831603031789<12> × 1920647391913<13>
47: \[{23^{47}-1\over22}\] 1612759 × 160782278895061740375167119<27> × 1757834394823272170457840229633<31>
48: \[{23^{48}-1\over22}\] 26 × 32 × 5 × 7 × 132 × 17 × 37 × 53 × 79 × 937 × 3697 × 7549 × 139921 × 623009 × 12682129 × 83575993 × 483563163219889<15>
49: \[{23^{49}-1\over22}\] 29 × 197 × 5336717 × 7908659662206739330568797545829013975804515085190454901<55>
50: \[{23^{50}-1\over22}\] 23 × 3 × 31 × 41 × 101 × 211 × 6551 × 56951 × 292561 × 1068701 × 279175761283651<15> × 261968569374120475321751<24>
51: \[{23^{51}-1\over22}\] 7 × 79 × 103 × 42331 × 62246266355102810647<20> × 849890089913739257948662758708499908691<39>
52: \[{23^{52}-1\over22}\] 24 × 3 × 5 × 53 × 157 × 2861561 × 47691619 × 278640181 × 480393499 × 3829141917458729<16> × 21001515080686141<17>
53: \[{23^{53}-1\over22}\] 107 × 134515657106693<15> × 61190665486751483<17> × 76614476156594621168268977128460059157<38>
54: \[{23^{54}-1\over22}\] 23 × 34 × 7 × 132 × 19 × 79 × 163 × 271 × 1117 × 4591 × 7792003 × 15785281 × 44765293701223<14> × 1081383636631149044212969<25>
55: \[{23^{55}-1\over22}\] 11 × 292561 × 3468301 × 3937230404603<13> × 812253463461249630584835663935634811279798920421<48>
56: \[{23^{56}-1\over22}\] 25 × 3 × 5 × 29 × 53 × 71 × 673 × 2969 × 10781 × 139921 × 598193 × 3391669 × 5336717 × 480249047846803230704957710381921<33>
57: \[{23^{57}-1\over22}\] 7 × 79 × 2129 × 63877469 × 2350382803 × 24939218613613<14> × 1420450672756039<16> × 3015559345436616275558557<25>
58: \[{23^{58}-1\over22}\] 23 × 3 × 59 × 233 × 1741 × 85087 × 11410109 × 1075983677123<13> × 356760584484267703279<21> × 2028795664420021044654173<25>
59: \[{23^{59}-1\over22}\] 5995817 × 451573729 × 15648899754659<14> × 3794908745134333508761<22> × 62123721098332529813486789059<29>
60: \[{23^{60}-1\over22}\] 24 × 32 × 52 × 7 × 132 × 31 × 37 × 41 × 53 × 61 × 79 × 151 × 211 × 941 × 7549 × 79561 × 272341 × 292561 × 229533481 × 336449041 × 541119751 × 74912328481<11>
61: \[{23^{61}-1\over22}\] 5266228211<10> × 4217468380980037880092527701441161<34> × 237916085520023302947010376750220097331<39>
62: \[{23^{62}-1\over22}\] 23 × 3 × 8086847 × 40888990028603<14> × 2313675671730419<16> × 3641413251511310179<19> × 1817748739889319695512796411<28>
63: \[{23^{63}-1\over22}\] 72 × 19 × 29 × 43 × 79 × 379 × 160651 × 170689 × 644869 × 5336717 × 7792003 × 408030421 × 978769387 × 273836843403890391876716767<27>
64: \[{23^{64}-1\over22}\] 28 × 3 × 5 × 17 × 53 × 193 × 257 × 3697 × 139921 × 623009 × 15887591750468908417<20> × 73169086596340605135996253341472193203073<41>
65: \[{23^{65}-1\over22}\] 911 × 31721 × 292561 × 4922971 × 47691619 × 480393499 × 1550738312754197195984990763641083397417745874324021<52>
66: \[{23^{66}-1\over22}\] 23 × 32 × 7 × 11 × 132 × 67 × 79 × 331 × 6073 × 27919 × 23130823 × 3937230404603<13> × 37942113104611<14> × 39700406579747<14> × 890785539136914450283<21>
67: \[{23^{67}-1\over22}\] 269 × 2152900439563539121<19> × 1350722411768113885790624753062895918883814157448379863553859994476957<70>
68: \[{23^{68}-1\over22}\] 24 × 3 × 5 × 53 × 103 × 239 × 6121 × 117539 × 209209825938101<15> × 246160726106632349<18> × 62246266355102810647<20> × 24913194075042688582253<23>
69: \[{23^{69}-1\over22}\] 7 × 79 × 277 × 461 × 1289 × 1933 × 11593 × 831603031789<12> × 1920647391913<13> × 49696373692116337<17> × 2555778231696354754306517338366249<34>
70: \[{23^{70}-1\over22}\] 23 × 3 × 29 × 31 × 41 × 71 × 211 × 673 × 2969 × 52291 × 292561 × 5336717 × 12968551 × 6696671101<10> × 15716677201<11> × 110350430401<12> × 29228211639650804163601<23>
71: \[{23^{71}-1\over22}\] 2131 × 351156543156995844791<21> × 12689965311931555366531418920750153<35> × 23052022067431050825264764433875832941<38>
72: \[{23^{72}-1\over22}\] 25 × 33 × 5 × 7 × 132 × 19 × 37 × 53 × 73 × 79 × 109 × 163 × 271 × 937 × 1117 × 1153 × 4789 × 5689 × 7549 × 101089 × 139921 × 2968201 × 7792003 × 83575993 × 20521396873<11> × 6838148542609<13>
73: \[{23^{73}-1\over22}\] 632911 × 3467983074289<13> × 52758171521205474158839779336871134951896640145619046102732332285095531824880639<80>
74: \[{23^{74}-1\over22}\] 23 × 3 × 593 × 1925658337781<13> × 10445744467953088708693<23> × 1628263171508931784019729<25> × 5713839242138307627889538424597962861<37>
75: \[{23^{75}-1\over22}\] 7 × 79 × 6551 × 292561 × 74912328481<11> × 2700470569501<13> × 261968569374120475321751<24> × 1090621172879625550471378131249830699682901<43>
76: \[{23^{76}-1\over22}\] 24 × 3 × 5 × 53 × 761 × 1901 × 2129 × 493811 × 3195383 × 63877469 × 111236869 × 1970307281599<13> × 24939218613613<14> × 60848703597029<14> × 1072790797270456849349<22>
77: \[{23^{77}-1\over22}\] 11 × 29 × 5336717 × 3937230404603<13> × 182688705194696220829<21> × 26463867183247157673754064782288107237804201852702279113008741<62>
78: \[{23^{78}-1\over22}\] 23 × 32 × 7 × 133 × 79 × 859 × 47691619 × 480393499 × 1489531614247<13> × 21001515080686141<17> × 30125172037951849<17> × 459408054528299360264076035007841<33>
79: \[{23^{79}-1\over22}\] 317 × 5605051 × 17510351 × 1711849421 × 5308250621847606803<19> × 60635323992249385667181625314213985250547348169043387903265103<62>
80: \[{23^{80}-1\over22}\] 26 × 3 × 52 × 17 × 31 × 41 × 53 × 61 × 211 × 241 × 941 × 3697 × 5081 × 139921 × 272341 × 292561 × 623009 × 7249841 × 147190628299441<15> × 1206964869343609001<19> × 146239626404410677041<21>
81: \[{23^{81}-1\over22}\] 7 × 19 × 79 × 4591 × 7792003 × 14945797 × 15785281 × 44765293701223<14> × 59679899512256809<17> × 1088774249552970415950511<25> × 35157512647661402580746419<26>
82: \[{23^{82}-1\over22}\] 23 × 3 × 83 × 1134389 × 44127446381<11> × 117018989947<12> × 56384434945908343003414576365690424889<38> × 317018172698691402707105521066838685448001<42>
83: \[{23^{83}-1\over22}\] 338309 × 364419547069027138439<21> × 27736074503263071062950778805992164759<38> × 1402902528489494184197616878227352708965872870517<49>
84: \[{23^{84}-1\over22}\] 24 × 32 × 5 × 72 × 132 × 29 × 37 × 43 × 53 × 71 × 79 × 673 × 2969 × 7549 × 10781 × 170689 × 598193 × 3250549 × 3391669 × 5336717 × 408030421 × 1707540478981<13> × 86688309528409<14> × 22865554874031409<17>
85: \[{23^{85}-1\over22}\] 103 × 292561 × 78267151 × 72992243971<11> × 464325697441<12> × 822450694563461<15> × 62246266355102810647<20> × 620136916371793898240542969807652684093441<42>
86: \[{23^{86}-1\over22}\] 23 × 3 × 173 × 92107 × 65542806503<11> × 22780364741027450075819291264641969166345360069<47> × 102219917850387811990824636930475340357519336809223<51>
87: \[{23^{87}-1\over22}\] 7 × 79 × 233 × 349 × 1741 × 10789 × 85087 × 9387997 × 11410109 × 184599907 × 1045137439 × 356760584484267703279<21> × 2533406685369752810514621031427854602769227721<46>
88: \[{23^{88}-1\over22}\] 25 × 3 × 5 × 11 × 53 × 89 × 139921 × 924209309 × 3937230404603<13> × 39700406579747<14> × 77686774927081<14> × 1853387306082786629<19> × 425965856603905306199831702308349603489<39>
89: \[{23^{89}-1\over22}\] 11393 × 66751 × 70667 × 460843 × 31062781 × 470991383 × 12394735435562113296770410018912233353<38> × 158124310056416991684436337187816394305528216973<48>
90: \[{23^{90}-1\over22}\] 23 × 33 × 7 × 132 × 19 × 31 × 41 × 79 × 151 × 163 × 211 × 271 × 1117 × 189901 × 292561 × 7792003 × 541119751 × 35799017131<11> × 74912328481<11> × 70648899716680111<17> × 480211292412647894626919619228001<33>
91: \[{23^{91}-1\over22}\] 29 × 1093 × 5336717 × 47691619 × 480393499 × 12719053621<11> × 167490737060011<15> × 28874753842468645099777511117851<32> × 1575850427038837744926591856538221047697<40>
92: \[{23^{92}-1\over22}\] 24 × 3 × 5 × 47 × 53 × 139 × 461 × 1013 × 1289 × 428353 × 1641281 × 52626071 × 1522029233 × 831603031789<12> × 1920647391913<13> × 43166461432817<14> × 212620343166625553<18> × 209243275915196555829361<24>
93: \[{23^{93}-1\over22}\] 7 × 79 × 40888990028603<14> × 83142351790355071<17> × 177997233919972398299983<24> × 1817748739889319695512796411<28> × 326712043035342859080672505541697769847233<42>
94: \[{23^{94}-1\over22}\] 23 × 3 × 1612759 × 908113047764652133<18> × 160782278895061740375167119<27> × 1757834394823272170457840229633<31> × 460105193502402003895023840144960797456639819<45>
95: \[{23^{95}-1\over22}\] 191 × 571 × 2129 × 292561 × 63877469 × 24282516421<11> × 24939218613613<14> × 162958442585991961<18> × 245504283249747627614692981238470997416783622791639991627659963121<66>
96: \[{23^{96}-1\over22}\] 27 × 32 × 5 × 7 × 132 × 17 × 37 × 53 × 79 × 97 × 193 × 937 × 3697 × 7549 × 139921 × 623009 × 2194369 × 12682129 × 83575993 × 229381734152257<15> × 483563163219889<15> × 15887591750468908417<20> × 770283379671906761761<21>
97: \[{23^{97}-1\over22}\] 37831 × 437083 × 376645117339<12> × 8929627332642360651429171750713187394279772739059800673754915869984108776013899856074320524951418926918437903<109>
98: \[{23^{98}-1\over22}\] 23 × 3 × 29 × 71 × 197 × 673 × 2969 × 5336717 × 171913108319<12> × 14284335193633<14> × 1414566930063953<16> × 448514601593253553<18> × 7908659662206739330568797545829013975804515085190454901<55>
99: \[{23^{99}-1\over22}\] 7 × 11 × 19 × 67 × 79 × 199 × 27919 × 300961 × 7792003 × 23130823 × 36953515171<11> × 3937230404603<13> × 37942113104611<14> × 2283575689288384418443117182923713557199767206133498287609028781<64>

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