tables

0:

\[{21^{0}-1\over20}\]

0

1:

\[{21^{1}-1\over20}\]

1

2:

\[{21^{2}-1\over20}\]

2 × 11

3:

\[{21^{3}-1\over20}\]

463

4:

\[{21^{4}-1\over20}\]

2² × 11 × 13 × 17

5:

\[{21^{5}-1\over20}\]

5 × 40841

6:

\[{21^{6}-1\over20}\]

2 × 11 × 421 × 463

7:

\[{21^{7}-1\over20}\]

43 × 631 × 3319

8:

\[{21^{8}-1\over20}\]

2³ × 11 × 13 × 17 × 97241

9:

\[{21^{9}-1\over20}\]

463 × 85775383

10:

\[{21^{10}-1\over20}\]

2 × 5 × 11 × 40841 × 185641

11:

\[{21^{11}-1\over20}\]

17513875027111_<14>

12:

\[{21^{12}-1\over20}\]

2² × 11 × 13 × 17 × 61 × 421 × 463 × 3181

13:

\[{21^{13}-1\over20}\]

79 × 189437 × 516094151

14:

\[{21^{14}-1\over20}\]

2 × 11 × 43 × 631 × 3319 × 81867661

15:

\[{21^{15}-1\over20}\]

5 × 211 × 463 × 9391 × 18181 × 40841

16:

\[{21^{16}-1\over20}\]

2⁴ × 11 × 13 × 17 × 62897 × 97241 × 300673

17:

\[{21^{17}-1\over20}\]

1502097124754084594737_<22>

18:

\[{21^{18}-1\over20}\]

2 × 11 × 19 × 37 × 199 × 421 × 463 × 613 × 85775383

19:

\[{21^{19}-1\over20}\]

12061389013_<11> × 54921106624003_<14>

20:

\[{21^{20}-1\over20}\]

2² × 5 × 11 × 13 × 17 × 41 × 40841 × 185641 × 920421641

21:

\[{21^{21}-1\over20}\]

43 × 463 × 631 × 3319 × 4789 × 6427 × 227633407

22:

\[{21^{22}-1\over20}\]

2 × 11² × 23 × 6073 × 10362529 × 17513875027111_<14>

23:

\[{21^{23}-1\over20}\]

47 × 19597 × 139870566115103282847737_<24>

24:

\[{21^{24}-1\over20}\]

2³ × 11 × 13 × 17 × 61 × 73 × 421 × 463 × 3181 × 97241 × 518118697

25:

\[{21^{25}-1\over20}\]

5² × 40841 × 2031851 × 27385718497004633851_<20>

26:

\[{21^{26}-1\over20}\]

2 × 11 × 79 × 189437 × 516094151 × 7021471715414521_<16>

27:

\[{21^{27}-1\over20}\]

109 × 163 × 463 × 4779433 × 85775383 × 7429452749713_<13>

28:

\[{21^{28}-1\over20}\]

2² × 11 × 13 × 17 × 29 × 43 × 631 × 3319 × 3697 × 81867661 × 68454248717_<11>

29:

\[{21^{29}-1\over20}\]

59 × 1103704099 × 246763300513_<12> × 687613372491653_<15>

30:

\[{21^{30}-1\over20}\]

2 × 5 × 11 × 31 × 211 × 421 × 463 × 2551 × 9391 × 18181 × 40841 × 185641 × 501001

31:

\[{21^{31}-1\over20}\]

4540713283_<10> × 3936833990413_<13> × 272581865551637989_<18>

32:

\[{21^{32}-1\over20}\]

2⁵ × 11 × 13 × 17 × 1217 × 2689 × 31873 × 62897 × 97241 × 300673 × 6857635489_<10>

33:

\[{21^{33}-1\over20}\]

67 × 463 × 17513875027111_<14> × 3955202198062795629622003_<25>

34:

\[{21^{34}-1\over20}\]

2 × 11 × 11969 × 114089969144083169_<18> × 1502097124754084594737_<22>

35:

\[{21^{35}-1\over20}\]

5 × 43 × 631 × 1471 × 3319 × 40841 × 4149601 × 20028751 × 421503321597121_<15>

36:

\[{21^{36}-1\over20}\]

2² × 11 × 13 × 17 × 19 × 37 × 61 × 199 × 421 × 463 × 613 × 1693 × 3181 × 85775383 × 4344847859197_<13>

37:

\[{21^{37}-1\over20}\]

31081 × 1681762703 × 7995105693353508392600118377453099_<34>

38:

\[{21^{38}-1\over20}\]

2 × 11 × 609673 × 12061389013_<11> × 54921106624003_<14> × 987749814642143197_<18>

39:

\[{21^{39}-1\over20}\]

79 × 463 × 547 × 1171 × 189437 × 516094151 × 80459337199345300130638393_<26>

40:

\[{21^{40}-1\over20}\]

2³ × 5 × 11 × 13 × 17 × 41 × 40841 × 97241 × 185641 × 3441241 × 920421641 × 415710882920521_<15>

41:

\[{21^{41}-1\over20}\]

83 × 14122861 × 83218931 × 17222085343_<11> × 914531249431_<12> × 52899783148909_<14>

42:

\[{21^{42}-1\over20}\]

2 × 11 × 43 × 337 × 421 × 463 × 631 × 3319 × 4789 × 6427 × 81867661 × 227633407 × 22864311556633_<14>

43:

\[{21^{43}-1\over20}\]

35842614220783025524408588074144786493150233831596714503_<56>

44:

\[{21^{44}-1\over20}\]

2² × 11² × 13 × 17 × 23 × 89 × 661 × 6073 × 10362529 × 17513875027111_<14> × 4718573764413203147069_<22>

45:

\[{21^{45}-1\over20}\]

5 × 211 × 463 × 9391 × 18181 × 40841 × 41489011 × 57815101 × 85775383 × 22554946693833031_<17>

46:

\[{21^{46}-1\over20}\]

2 × 11 × 47 × 277 × 461 × 599 × 691 × 19597 × 2215825387044753577_<19> × 139870566115103282847737_<24>

47:

\[{21^{47}-1\over20}\]

49727 × 227011 × 75042551 × 158545759 × 5298873343_<10> × 9794718038248648833094153_<25>

48:

\[{21^{48}-1\over20}\]

2⁴ × 11 × 13 × 17 × 61 × 73 × 193 × 421 × 433 × 463 × 673 × 3181 × 62897 × 97241 × 300673 × 1001713 × 25392481 × 518118697

49:

\[{21^{49}-1\over20}\]

43 × 631 × 3319 × 7057 × 1606344741163_<13> × 1767442850839_<13> × 1703751007820049542146461103_<28>

50:

\[{21^{50}-1\over20}\]

2 × 5² × 11 × 101 × 40841 × 185641 × 2031851 × 11093851 × 248303068144516751_<18> × 27385718497004633851_<20>

51:

\[{21^{51}-1\over20}\]

463 × 38047 × 1502097124754084594737_<22> × 51233569124705721849500009982296618143_<38>

52:

\[{21^{52}-1\over20}\]

2² × 11 × 13² × 17 × 53 × 79 × 32969 × 101089 × 189437 × 516094151 × 7021471715414521_<16> × 23509884574335185209_<20>

53:

\[{21^{53}-1\over20}\]

1697 × 207612155793974069_<18> × 372515213872960388437_<21> × 4555268603071594349347155493_<28>

54:

\[{21^{54}-1\over20}\]

2 × 11 × 19 × 37 × 109 × 163 × 199 × 421 × 463 × 613 × 5077 × 17497 × 4779433 × 85775383 × 7429452749713_<13> × 7101932659132249_<16>

55:

\[{21^{55}-1\over20}\]

5 × 881 × 40841 × 5664205361_<10> × 17513875027111_<14> × 270573999780463721_<18> × 54598616218616435702441_<23>

56:

\[{21^{56}-1\over20}\]

2³ × 11 × 13 × 17 × 29 × 43 × 617 × 631 × 3319 × 3697 × 97241 × 912521 × 81867661 × 68454248717_<11> × 115593326297_<12> × 831380909129_<12>

57:

\[{21^{57}-1\over20}\]

463 × 304609 × 12061389013_<11> × 54921106624003_<14> × 1244541772187848099210936765314595053007129_<43>

58:

\[{21^{58}-1\over20}\]

2 × 11 × 59 × 1277 × 1103704099 × 246763300513_<12> × 687613372491653_<15> × 7865855595529911658005355038639053_<34>

59:

\[{21^{59}-1\over20}\]

896447 × 334217419 × 47540111129611360301_<20> × 3599933694931243085497791696053868938364103_<43>

60:

\[{21^{60}-1\over20}\]

2² × 5 × 11 × 13 × 17 × 31 × 41 × 61 × 211 × 421 × 463 × 2551 × 3181 × 9391 × 18181 × 40841 × 185641 × 501001 × 1360861 × 920421641 × 1053606939618901_<16>

61:

\[{21^{61}-1\over20}\]

15373 × 12519763 × 1128331159687_<13> × 1814065850324073713_<19> × 57398774322642953389748085156004642469_<38>

62:

\[{21^{62}-1\over20}\]

2 × 11 × 78059 × 4540713283_<10> × 3936833990413_<13> × 272581865551637989_<18> × 56748249908554278937564172324714039_<35>

63:

\[{21^{63}-1\over20}\]

43 × 127 × 463 × 631 × 3319 × 4789 × 6427 × 51787 × 85775383 × 227633407 × 22125429901_<11> × 27186384126763_<14> × 100595851688887003_<18>

64:

\[{21^{64}-1\over20}\]

2⁶ × 11 × 13 × 17 × 1217 × 2689 × 31873 × 62897 × 97241 × 300673 × 6857635489_<10> × 1023263388750334684164671319051311082339521_<43>

65:

\[{21^{65}-1\over20}\]

5 × 79 × 131 × 40841 × 189437 × 443431 × 516094151 × 47999819885150422820855221255204479443163906801765079421_<56>

66:

\[{21^{66}-1\over20}\]

2 × 11² × 23 × 67 × 421 × 463 × 3499 × 6073 × 28513 × 33199 × 10362529 × 17513875027111_<14> × 87989435079877_<14> × 3955202198062795629622003_<25>

67:

\[{21^{67}-1\over20}\]

269 × 324363426169571_<15> × 312929837239650768379490219650039_<33> × 71028332352256443443129296219339913167_<38>

68:

\[{21^{68}-1\over20}\]

2² × 11 × 13 × 17² × 11969 × 300293033 × 114089969144083169_<18> × 1502097124754084594737_<22> × 399981195234791390040813065378761_<33>

69:

\[{21^{69}-1\over20}\]

47 × 463 × 19597 × 459878292118921111_<18> × 139870566115103282847737_<24> × 31179105887601949149105715319437017328831_<41>

70:

\[{21^{70}-1\over20}\]

2 × 5 × 11 × 43 × 71 × 631 × 1471 × 3319 × 40841 × 140351 × 185641 × 4149601 × 20028751 × 78555121 × 81867661 × 421503321597121_<15> × 72413241922093801_<17>

71:

\[{21^{71}-1\over20}\]

493509073 × 6912925952086714539251625713_<28> × 110556144297525239244017467747224789359885811468762753179_<57>

72:

\[{21^{72}-1\over20}\]

2³ × 11 × 13 × 17 × 19 × 37 × 61 × 73 × 199 × 421 × 463 × 613 × 1693 × 3181 × 97241 × 816769 × 85775383 × 518118697 × 808208209 × 4344847859197_<13> × 81967288802253121_<17>

73:

\[{21^{73}-1\over20}\]

30661 × 5424905842809814580790135175148153005273370039115139875248165723989059011789226683837426053_<91>

74:

\[{21^{74}-1\over20}\]

2 × 11 × 31081 × 1681762703 × 7995105693353508392600118377453099_<34> × 379919184478057330357419845346252603881265273961_<48>

75:

\[{21^{75}-1\over20}\]

5² × 151 × 211 × 463 × 1051 × 1801 × 9391 × 18181 × 40841 × 2031851 × 9728219701_<10> × 201307465501_<12> × 27385718497004633851_<20> × 138288178346489520230701_<24>

76:

\[{21^{76}-1\over20}\]

2² × 11 × 13 × 17 × 229 × 457 × 609673 × 12061389013_<11> × 54921106624003_<14> × 987749814642143197_<18> × 3794540985952206860593938878074866571399837_<43>

77:

\[{21^{77}-1\over20}\]

43 × 631 × 3319 × 6225803431_<10> × 17513875027111_<14> × 39824892937303186001525100993399811_<35> × 82721492925050166710438512180782661_<35>

78:

\[{21^{78}-1\over20}\]

2 × 11 × 79 × 421 × 463 × 547 × 1171 × 11701 × 189437 × 629773 × 516094151 × 7021471715414521_<16> × 7691526674487958994017_<22> × 80459337199345300130638393_<26>

79:

\[{21^{79}-1\over20}\]

2687 × 10903 × 15208288358346544216626697_<26> × 122435283552586211204658864416622901_<36> × 261513239159154440967606433092726647_<36>

80:

\[{21^{80}-1\over20}\]

2⁴ × 5 × 11 × 13 × 17 × 41 × 241 × 9521 × 40841 × 62897 × 97241 × 185641 × 300673 × 3441241 × 22995281 × 33534961 × 920421641 × 3184193681 × 363230092241_<12> × 415710882920521_<15>

81:

\[{21^{81}-1\over20}\]

109 × 163 × 463 × 4779433 × 85775383 × 7429452749713_<13> × 251097226443098886970664441840231990201201851332912023687544574398706423_<72>

82:

\[{21^{82}-1\over20}\]

2 × 11 × 83 × 1231 × 1766117 × 14122861 × 83218931 × 17222085343_<11> × 914531249431_<12> × 52899783148909_<14> × 33985282117517881270903492784746835442538163_<44>

83:

\[{21^{83}-1\over20}\]

167 × 756131 × 941221 × 23343519976297040387448341592997138604460338237413223529466429945751726176986579124533941307079_<95>

84:

\[{21^{84}-1\over20}\]

2² × 11 × 13 × 17 × 29 × 43 × 61 × 337 × 421 × 463 × 631 × 3181 × 3319 × 3697 × 4789 × 6427 × 18481 × 81867661 × 227633407 × 68454248717_<11> × 22864311556633_<14> × 2934413293238858072198024161_<28>

85:

\[{21^{85}-1\over20}\]

5 × 40841 × 1502097124754084594737_<22> × 11500287881306297400572689205013166485061_<41> × 346846213951614446714019035689488886491130381_<45>

86:

\[{21^{86}-1\over20}\]

2 × 11 × 173 × 15739 × 126851 × 169367548429_<12> × 1163308526467_<13> × 478811691676843729951_<21> × 35842614220783025524408588074144786493150233831596714503_<56>

87:

\[{21^{87}-1\over20}\]

59 × 463 × 1103704099 × 246763300513_<12> × 687613372491653_<15> × 7826081384442721874824416529_<28> × 13477015991023291802765110016390772920553907009_<47>

88:

\[{21^{88}-1\over20}\]

2³ × 11² × 13 × 17 × 23 × 89 × 353 × 661 × 6073 × 97241 × 10362529 × 313433209 × 715521049 × 17513875027111_<14> × 29831330140869137_<17> × 32775913825604401_<17> × 4718573764413203147069_<22>

89:

\[{21^{89}-1\over20}\]

138348511207_<12> × 1719937817227174896868741057213630597485253956382680484361683645714455944660556942937263903929864448451087_<106>

90:

\[{21^{90}-1\over20}\]

2 × 5 × 11 × 19 × 31 × 37 × 199 × 211 × 421 × 463 × 613 × 2551 × 9391 × 18181 × 40841 × 185641 × 501001 × 658261 × 41489011 × 57815101 × 85775383 × 22554946693833031_<17> × 82207575664095002495707981_<26>

91:

\[{21^{91}-1\over20}\]

43 × 79 × 631 × 3319 × 189437 × 516094151 × 35381269315942497678572657090020747_<35> × 4264091474110761334946377629947327910839217826620223120485043_<61>

92:

\[{21^{92}-1\over20}\]

2² × 11 × 13 × 17 × 47 × 277 × 461 × 599 × 691 × 19597 × 477045301 × 11918195405621_<14> × 2215825387044753577_<19> × 139870566115103282847737_<24> × 2641770975903509717963660601029203121_<37>

93:

\[{21^{93}-1\over20}\]

373 × 463 × 1303 × 4540713283_<10> × 3936833990413_<13> × 272581865551637989_<18> × 5490236844314625181981860471139_<31> × 7687249112242592598176964045333142849438561_<43>

94:

\[{21^{94}-1\over20}\]

2 × 11 × 283 × 1129 × 49727 × 227011 × 10165349 × 32036611 × 75042551 × 158545759 × 5298873343_<10> × 230199028303_<12> × 9794718038248648833094153_<25> × 264564425522789761284612235919_<30>

95:

\[{21^{95}-1\over20}\]

5 × 40841 × 12061389013_<11> × 19449969211_<11> × 54921106624003_<14> × 619598441951897251_<18> × 2522688573446019221_<19> × 4962575794097659196896553056277931780683391554141_<49>

96:

\[{21^{96}-1\over20}\]

2⁵ × 11 × 13 × 17 × 61 × 73 × 97 × 193 × 421 × 433 × 463 × 673 × 1217 × 2689 × 3181 × 31873 × 62897 × 97241 × 300673 × 1001713 × 25392481 × 518118697 × 6857635489_<10> × 93310250563834657_<17> × 226108215051938888394049_<24>

97:

\[{21^{97}-1\over20}\]

1747 × 298027069 × 99141858256733_<14> × 29748627560719740825024892426535732998061_<41> × 5860963105358989903195525558207622859647715180010295355986863_<61>

98:

\[{21^{98}-1\over20}\]

2 × 11 × 43 × 631 × 3319 × 7057 × 81867661 × 1606344741163_<13> × 1767442850839_<13> × 2524084462789_<13> × 86494371600108393937_<20> × 156357474589352978545297_<24> × 1703751007820049542146461103_<28>

99:

\[{21^{99}-1\over20}\]

67 × 463 × 85775383 × 17513875027111_<14> × 782006960636353_<15> × 146354764854514987_<18> × 3955202198062795629622003_<25> × 188145268678304791443009491673532813732054627291_<48>

Base 21 Repunits

Table