tables

0:

\[{19^{0}-1\over18}\]

0

1:

\[{19^{1}-1\over18}\]

1

2:

\[{19^{2}-1\over18}\]

2² × 5

3:

\[{19^{3}-1\over18}\]

3 × 127

4:

\[{19^{4}-1\over18}\]

2³ × 5 × 181

5:

\[{19^{5}-1\over18}\]

151 × 911

6:

\[{19^{6}-1\over18}\]

2² × 3 × 5 × 7³ × 127

7:

\[{19^{7}-1\over18}\]

701 × 70841

8:

\[{19^{8}-1\over18}\]

2⁴ × 5 × 17 × 181 × 3833

9:

\[{19^{9}-1\over18}\]

3² × 127 × 523 × 29989

10:

\[{19^{10}-1\over18}\]

2² × 5² × 11 × 151 × 911 × 2251

11:

\[{19^{11}-1\over18}\]

104281 × 62060021

12:

\[{19^{12}-1\over18}\]

2³ × 3 × 5 × 7³ × 13² × 127 × 181 × 769

13:

\[{19^{13}-1\over18}\]

599 × 29251 × 133338869

14:

\[{19^{14}-1\over18}\]

2² × 5 × 197 × 701 × 70841 × 226871

15:

\[{19^{15}-1\over18}\]

3 × 31 × 127 × 151 × 211 × 911 × 2460181

16:

\[{19^{16}-1\over18}\]

2⁵ × 5 × 17 × 181 × 3833 × 15073 × 563377

17:

\[{19^{17}-1\over18}\]

3044803 × 99995282631947_<14>

18:

\[{19^{18}-1\over18}\]

2² × 3² × 5 × 7³ × 127 × 199 × 523 × 29989 × 236377

19:

\[{19^{19}-1\over18}\]

109912203092239643840221_<24>

20:

\[{19^{20}-1\over18}\]

2³ × 5² × 11 × 151 × 181 × 911 × 2251 × 16936647121_<11>

21:

\[{19^{21}-1\over18}\]

3 × 127 × 701 × 70841 × 30640261 × 68443621

22:

\[{19^{22}-1\over18}\]

2² × 5 × 23 × 104281 × 62060021 × 253239693257_<12>

23:

\[{19^{23}-1\over18}\]

277 × 2347 × 16497763013_<11> × 1335495402823_<13>

24:

\[{19^{24}-1\over18}\]

2⁴ × 3 × 5 × 7³ × 13² × 17 × 127 × 181 × 769 × 3833 × 4297 × 3952393

25:

\[{19^{25}-1\over18}\]

101 × 151 × 911 × 1601 × 6451 × 36035657195482151_<17>

26:

\[{19^{26}-1\over18}\]

2² × 5 × 131 × 313 × 599 × 29251 × 176021 × 291331 × 133338869

27:

\[{19^{27}-1\over18}\]

3³ × 127 × 487 × 523 × 29989 × 216919 × 907471 × 362063089

28:

\[{19^{28}-1\over18}\]

2³ × 5 × 29 × 181 × 197 × 701 × 5237 × 70841 × 226871 × 14533200697_<11>

29:

\[{19^{29}-1\over18}\]

59 × 233 × 297003021451861_<15> × 165049085515149863_<18>

30:

\[{19^{30}-1\over18}\]

2² × 3 × 5² × 7³ × 11 × 31 × 61 × 127 × 151 × 211 × 271 × 911 × 2251 × 1081291 × 2460181

31:

\[{19^{31}-1\over18}\]

243270318891483838103593381595151809701_<39>

32:

\[{19^{32}-1\over18}\]

2⁶ × 5 × 17 × 97 × 181 × 3833 × 15073 × 563377 × 1486811410142377153_<19>

33:

\[{19^{33}-1\over18}\]

3 × 67 × 127 × 2113 × 104281 × 34451077 × 62060021 × 7302593769703_<13>

34:

\[{19^{34}-1\over18}\]

2² × 5 × 3044803 × 99995282631947_<14> × 274019342889240109297_<21>

35:

\[{19^{35}-1\over18}\]

71 × 151 × 701 × 911 × 70841 × 65365284260571112024359304391_<29>

36:

\[{19^{36}-1\over18}\]

2³ × 3² × 5 × 7³ × 13² × 37 × 73 × 109 × 127 × 181 × 199 × 523 × 769 × 29989 × 35533 × 211573 × 236377

37:

\[{19^{37}-1\over18}\]

149 × 3588174588084451_<16> × 21406757809476033811281103559_<29>

38:

\[{19^{38}-1\over18}\]

2² × 5 × 108301 × 1049219 × 870542161121_<12> × 109912203092239643840221_<24>

39:

\[{19^{39}-1\over18}\]

3 × 79 × 127 × 157 × 599 × 29251 × 133338869 × 887960971 × 421451911540236097_<18>

40:

\[{19^{40}-1\over18}\]

2⁴ × 5² × 11 × 17 × 41 × 151 × 181 × 911 × 2251 × 3833 × 478382041 × 14706033761_<11> × 16936647121_<11>

41:

\[{19^{41}-1\over18}\]

10654507 × 11713456133_<11> × 11951068054199383402102234839038071_<35>

42:

\[{19^{42}-1\over18}\]

2² × 3 × 5 × 7⁴ × 43² × 127 × 197 × 701 × 70841 × 226871 × 343393 × 524119 × 30640261 × 68443621

43:

\[{19^{43}-1\over18}\]

18917672548149688895557513_<26> × 28461948730641665973894996037_<29>

44:

\[{19^{44}-1\over18}\]

2³ × 5 × 23 × 181 × 104281 × 774797 × 62060021 × 253239693257_<12> × 48381877771677135533_<20>

45:

\[{19^{45}-1\over18}\]

3² × 31 × 127 × 151 × 211 × 523 × 911 × 29989 × 584911 × 2460181 × 8374006851436085760993151_<25>

46:

\[{19^{46}-1\over18}\]

2² × 5 × 47 × 277 × 691 × 2347 × 2531 × 16497763013_<11> × 1335495402823_<13> × 156832034288392140949_<21>

47:

\[{19^{47}-1\over18}\]

70169234660105574400577005075855017842743056666917902427141_<59>

48:

\[{19^{48}-1\over18}\]

2⁵ × 3 × 5 × 7³ × 13² × 17 × 127 × 181 × 241 × 577 × 769 × 1009 × 3833 × 4297 × 4657 × 14929 × 15073 × 29569 × 563377 × 3952393

49:

\[{19^{49}-1\over18}\]

701 × 70841 × 167291881 × 51326794793_<11> × 59406262713432872236099181572519757_<35>

50:

\[{19^{50}-1\over18}\]

2² × 5³ × 11 × 101 × 151 × 911 × 1601 × 2251 × 6451 × 79151 × 127051 × 747596648084101_<15> × 36035657195482151_<17>

51:

\[{19^{51}-1\over18}\]

3 × 103 × 127 × 307 × 613 × 3044803 × 54474019 × 99995282631947_<14> × 74657245773488638417876963_<26>

52:

\[{19^{52}-1\over18}\]

2³ × 5 × 53 × 131 × 181 × 313 × 599 × 29251 × 176021 × 291331 × 133338869 × 92174159182574048847888178637_<29>

53:

\[{19^{53}-1\over18}\]

107 × 323930821687153_<15> × 2551089855701675251204783_<25> × 37334173314913678536474517_<26>

54:

\[{19^{54}-1\over18}\]

2² × 3³ × 5 × 7³ × 127 × 199 × 487 × 523 × 29989 × 41203 × 216919 × 236377 × 907471 × 2522827 × 362063089 × 1001724990823_<13>

55:

\[{19^{55}-1\over18}\]

151 × 911 × 104281 × 62060021 × 484536191701_<12> × 2762720155370058278742863792112809157901_<40>

56:

\[{19^{56}-1\over18}\]

2⁴ × 5 × 17 × 29 × 181 × 197 × 701 × 3833 × 5237 × 70841 × 226871 × 14533200697_<11> × 4898725341275828472027787456561_<31>

57:

\[{19^{57}-1\over18}\]

3 × 127 × 229 × 6841 × 80558460464029837_<17> × 81403978301424181910737_<23> × 109912203092239643840221_<24>

58:

\[{19^{58}-1\over18}\]

2² × 5 × 59 × 233 × 106373 × 297003021451861_<15> × 670650007983077_<15> × 8501529971051629_<16> × 165049085515149863_<18>

59:

\[{19^{59}-1\over18}\]

155306613932666028670208812450645212905178047040045530562317564121001023821_<75>

60:

\[{19^{60}-1\over18}\]

2³ × 3 × 5² × 7³ × 11 × 13² × 31 × 61 × 127 × 151 × 181 × 211 × 271 × 769 × 911 × 2251 × 1081291 × 2460181 × 171434401 × 16936647121_<11> × 1687178375041_<13>

61:

\[{19^{61}-1\over18}\]

56065687629692436349945381294682921858769274981456436532996640647681369599401_<77>

62:

\[{19^{62}-1\over18}\]

2² × 5 × 1503075053 × 14345411368517_<14> × 10154018739210331_<17> × 243270318891483838103593381595151809701_<39>

63:

\[{19^{63}-1\over18}\]

3² × 127 × 523 × 701 × 29989 × 70841 × 30640261 × 68443621 × 21095068697641_<14> × 513907987925996378410396566096001_<33>

64:

\[{19^{64}-1\over18}\]

2⁷ × 5 × 17 × 97 × 181 × 3833 × 15073 × 151681 × 563377 × 1486811410142377153_<19> × 274254682725217636458847635846091201_<36>

65:

\[{19^{65}-1\over18}\]

151 × 599 × 911 × 29251 × 96851 × 38324521 × 52356721 × 133338869 × 153079681 × 764224739004587705859669872633651_<33>

66:

\[{19^{66}-1\over18}\]

2² × 3 × 5 × 7³ × 23 × 67 × 127 × 859 × 2113 × 104281 × 489061 × 519553 × 34451077 × 62060021 × 181258778383_<12> × 253239693257_<12> × 7302593769703_<13>

67:

\[{19^{67}-1\over18}\]

588518621 × 1650922227287_<13> × 24299939580826833879511_<23> × 111718923317519780739416742825495315326353_<42>

68:

\[{19^{68}-1\over18}\]

2³ × 5 × 137² × 181 × 3044803 × 99995282631947_<14> × 3084256577008769_<16> × 274019342889240109297_<21> × 1433250916087597060721_<22>

69:

\[{19^{69}-1\over18}\]

3 × 127 × 277 × 2347 × 1530559 × 9555459481_<10> × 16497763013_<11> × 1335495402823_<13> × 71425475193776503_<17> × 167026691666949955561753_<24>

70:

\[{19^{70}-1\over18}\]

2² × 5² × 11 × 71 × 151 × 197 × 701 × 911 × 2251 × 70841 × 226871 × 65365284260571112024359304391_<29> × 5156590470591163710974829741361_<31>

71:

\[{19^{71}-1\over18}\]

17041 × 49417 × 19840332702980239_<17> × 1367953340395774788360889_<25> × 15039779687938609372385845398208131004523_<41>

72:

\[{19^{72}-1\over18}\]

2⁴ × 3² × 5 × 7³ × 13² × 17 × 37 × 73 × 109 × 127 × 181 × 199 × 523 × 769 × 3833 × 4297 × 24841 × 29989 × 35533 × 211573 × 236377 × 3952393 × 197204739380896284545766121_<27>

73:

\[{19^{73}-1\over18}\]

893943109 × 109796425517837_<15> × 391818505243975817655620850033223_<33> × 3226690707486553756833988409595477959_<37>

74:

\[{19^{74}-1\over18}\]

2² × 5 × 149 × 3588174588084451_<16> × 21406757809476033811281103559_<29> × 10300379826060720504760427912621791994517454717_<47>

75:

\[{19^{75}-1\over18}\]

3 × 31 × 101 × 127 × 151 × 211 × 911 × 1601 × 6451 × 2460181 × 6229677151_<10> × 36035657195482151_<17> × 164375644290642589501_<21> × 1379878520583653811451_<22>

76:

\[{19^{76}-1\over18}\]

2³ × 5 × 181 × 1217 × 108301 × 1049219 × 870542161121_<12> × 109912203092239643840221_<24> × 8884596062918674650119991208333781915308073_<43>

77:

\[{19^{77}-1\over18}\]

701 × 70841 × 73613 × 104281 × 62060021 × 683565986584949943193098665649843330062157179334638625282436350819956477_<72>

78:

\[{19^{78}-1\over18}\]

2² × 3 × 5 × 7³ × 79 × 127 × 131 × 157 × 313 × 599 × 2341 × 29251 × 176021 × 291331 × 133338869 × 887960971 × 421451911540236097_<18> × 2202409598047314333465675421_<28>

79:

\[{19^{79}-1\over18}\]

10429 × 32233 × 1380763 × 12577647923565067982570531255067267090413921105116610018487966576192735681081030635731_<86>

80:

\[{19^{80}-1\over18}\]

2⁵ × 5² × 11 × 17 × 41 × 151 × 181 × 911 × 2251 × 3833 × 15073 × 563377 × 2772481 × 478382041 × 14706033761_<11> × 16936647121_<11> × 30008663379835140331261614092712001_<35>

81:

\[{19^{81}-1\over18}\]

3⁴ × 127 × 487 × 523 × 3727 × 29989 × 216919 × 907471 × 362063089 × 100974986546704014563516474586369230337004982214028298769888689881_<66>

82:

\[{19^{82}-1\over18}\]

2² × 5 × 83 × 3651133 × 10654507 × 11713456133_<11> × 11951068054199383402102234839038071_<35> × 4429573350928242996724590665849673929793119_<43>

83:

\[{19^{83}-1\over18}\]

167 × 4555750199199950437649290574576123158785621674690043100726048398827989978120480865989375363338094993243_<103>

84:

\[{19^{84}-1\over18}\]

2³ × 3 × 5 × 7⁴ × 13² × 29 × 43² × 127 × 181 × 197 × 701 × 769 × 5237 × 70841 × 226871 × 343393 × 524119 × 2141413 × 30640261 × 68443621 × 1301151937 × 14533200697_<11> × 1763028507911581_<16>

85:

\[{19^{85}-1\over18}\]

151 × 911 × 3044803 × 12299588826871_<14> × 99995282631947_<14> × 4091790564972909948701_<22> × 130300340509216473435163662875597224153175277491_<48>

86:

\[{19^{86}-1\over18}\]

2² × 5 × 2753 × 45597803 × 55578787747850091391_<20> × 69456939989229889776307_<23> × 18917672548149688895557513_<26> × 28461948730641665973894996037_<29>

87:

\[{19^{87}-1\over18}\]

3 × 59 × 127 × 233 × 349 × 1230181 × 1243579 × 2997499 × 20736451 × 297003021451861_<15> × 165049085515149863_<18> × 1340588661158222617_<19> × 8680146187079648246848027_<25>

88:

\[{19^{88}-1\over18}\]

2⁴ × 5 × 17 × 23 × 89 × 181 × 3833 × 104281 × 774797 × 62060021 × 121434809 × 50766225049_<11> × 253239693257_<12> × 18815582771569_<14> × 136872109280136121_<18> × 48381877771677135533_<20>

89:

\[{19^{89}-1\over18}\]

179 × 100406562593700976489171_<24> × 1991511641305906595444902842736305161490856691155674104014444795547589309174118116074569_<88>

90:

\[{19^{90}-1\over18}\]

2² × 3² × 5² × 7³ × 11 × 31 × 61 × 127 × 151 × 199 × 211 × 271 × 523 × 911 × 2251 × 6661 × 29989 × 236377 × 584911 × 1081291 × 2460181 × 8374006851436085760993151_<25> × 735546785834162565719034301_<27>

91:

\[{19^{91}-1\over18}\]

599 × 701 × 29251 × 70841 × 133338869 × 111372552514164781899670710272036735926703976961131660860368530051797634505591051484642574481_<93>

92:

\[{19^{92}-1\over18}\]

2³ × 5 × 47 × 181 × 277 × 691 × 2347 × 2531 × 16497763013_<11> × 1335495402823_<13> × 156832034288392140949_<21> × 183635682448662451179177971992641803019682323350468485561_<57>

93:

\[{19^{93}-1\over18}\]

3 × 127 × 37537033 × 5313524497_<10> × 243270318891483838103593381595151809701_<39> × 252322311240290935481740395615054925529652499675304653560001_<60>

94:

\[{19^{94}-1\over18}\]

2² × 5 × 283 × 11093 × 13948811059_<11> × 1442170504139195906052750254478575917037087_<43> × 70169234660105574400577005075855017842743056666917902427141_<59>

95:

\[{19^{95}-1\over18}\]

151 × 911 × 1901 × 109912203092239643840221_<24> × 58586321603695857848685588254120444000338059307507557951422037179294963122412142809939381_<89>

96:

\[{19^{96}-1\over18}\]

2⁶ × 3 × 5 × 7³ × 13² × 17 × 97 × 127 × 181 × 241 × 577 × 769 × 1009 × 3833 × 4297 × 4657 × 14929 × 15073 × 29569 × 563377 × 3952393 × 1486811410142377153_<19> × 83198449060887472631140495091974297750081_<41>

97:

\[{19^{97}-1\over18}\]

350286401 × 11542175764721536214759_<23> × 2406871247546906126235451908529_<31> × 62468771853453988907994855172682616050526469382576404972295431_<62>

98:

\[{19^{98}-1\over18}\]

2² × 5 × 197 × 701 × 70841 × 226871 × 167291881 × 51326794793_<11> × 59406262713432872236099181572519757_<35> × 510095203167924318152120324312866078462380276415979467_<54>

99:

\[{19^{99}-1\over18}\]

3² × 67 × 127 × 397 × 523 × 2113 × 29989 × 104281 × 104743 × 568657 × 34451077 × 62060021 × 94192561 × 7302593769703_<13> × 118556279019269161897663_<24> × 201115556443680647658647001771781_<33>

Base 19 Repunits

Table