tables

0:

\[{3^{0}-1\over2}\]

0

1:

\[{3^{1}-1\over2}\]

1

2:

\[{3^{2}-1\over2}\]

2²

3:

\[{3^{3}-1\over2}\]

13

4:

\[{3^{4}-1\over2}\]

2³ × 5

5:

\[{3^{5}-1\over2}\]

11²

6:

\[{3^{6}-1\over2}\]

2² × 7 × 13

7:

\[{3^{7}-1\over2}\]

1093

8:

\[{3^{8}-1\over2}\]

2⁴ × 5 × 41

9:

\[{3^{9}-1\over2}\]

13 × 757

10:

\[{3^{10}-1\over2}\]

2² × 11² × 61

11:

\[{3^{11}-1\over2}\]

23 × 3851

12:

\[{3^{12}-1\over2}\]

2³ × 5 × 7 × 13 × 73

13:

\[{3^{13}-1\over2}\]

797161

14:

\[{3^{14}-1\over2}\]

2² × 547 × 1093

15:

\[{3^{15}-1\over2}\]

11² × 13 × 4561

16:

\[{3^{16}-1\over2}\]

2⁵ × 5 × 17 × 41 × 193

17:

\[{3^{17}-1\over2}\]

1871 × 34511

18:

\[{3^{18}-1\over2}\]

2² × 7 × 13 × 19 × 37 × 757

19:

\[{3^{19}-1\over2}\]

1597 × 363889

20:

\[{3^{20}-1\over2}\]

2³ × 5² × 11² × 61 × 1181

21:

\[{3^{21}-1\over2}\]

13 × 1093 × 368089

22:

\[{3^{22}-1\over2}\]

2² × 23 × 67 × 661 × 3851

23:

\[{3^{23}-1\over2}\]

47 × 1001523179

24:

\[{3^{24}-1\over2}\]

2⁴ × 5 × 7 × 13 × 41 × 73 × 6481

25:

\[{3^{25}-1\over2}\]

11² × 8951 × 391151

26:

\[{3^{26}-1\over2}\]

2² × 398581 × 797161

27:

\[{3^{27}-1\over2}\]

13 × 109 × 433 × 757 × 8209

28:

\[{3^{28}-1\over2}\]

2³ × 5 × 29 × 547 × 1093 × 16493

29:

\[{3^{29}-1\over2}\]

59 × 28537 × 20381027

30:

\[{3^{30}-1\over2}\]

2² × 7 × 11² × 13 × 31 × 61 × 271 × 4561

31:

\[{3^{31}-1\over2}\]

683 × 102673 × 4404047

32:

\[{3^{32}-1\over2}\]

2⁶ × 5 × 17 × 41 × 193 × 21523361

33:

\[{3^{33}-1\over2}\]

13 × 23 × 3851 × 2413941289

34:

\[{3^{34}-1\over2}\]

2² × 103 × 307 × 1021 × 1871 × 34511

35:

\[{3^{35}-1\over2}\]

11² × 71 × 1093 × 2664097031

36:

\[{3^{36}-1\over2}\]

2³ × 5 × 7 × 13 × 19 × 37 × 73 × 757 × 530713

37:

\[{3^{37}-1\over2}\]

13097927 × 17189128703_<11>

38:

\[{3^{38}-1\over2}\]

2² × 1597 × 2851 × 101917 × 363889

39:

\[{3^{39}-1\over2}\]

13² × 313 × 6553 × 7333 × 797161

40:

\[{3^{40}-1\over2}\]

2⁴ × 5² × 11² × 41 × 61 × 1181 × 42521761

41:

\[{3^{41}-1\over2}\]

83 × 2526913 × 86950696619_<11>

42:

\[{3^{42}-1\over2}\]

2² × 7² × 13 × 43 × 547 × 1093 × 2269 × 368089

43:

\[{3^{43}-1\over2}\]

431 × 380808546861411923_<18>

44:

\[{3^{44}-1\over2}\]

2³ × 5 × 23 × 67 × 661 × 3851 × 5501 × 570461

45:

\[{3^{45}-1\over2}\]

11² × 13 × 181 × 757 × 1621 × 4561 × 927001

46:

\[{3^{46}-1\over2}\]

2² × 47 × 1001523179 × 23535794707_<11>

47:

\[{3^{47}-1\over2}\]

1223 × 21997 × 5112661 × 96656723

48:

\[{3^{48}-1\over2}\]

2⁵ × 5 × 7 × 13 × 17 × 41 × 73 × 97 × 193 × 577 × 769 × 6481

49:

\[{3^{49}-1\over2}\]

491 × 1093 × 4019 × 8233 × 51157 × 131713

50:

\[{3^{50}-1\over2}\]

2² × 11² × 61 × 151 × 8951 × 391151 × 22996651

51:

\[{3^{51}-1\over2}\]

13 × 1871 × 12853 × 34511 × 99810171997_<11>

52:

\[{3^{52}-1\over2}\]

2³ × 5 × 53 × 398581 × 797161 × 4795973261_<10>

53:

\[{3^{53}-1\over2}\]

107 × 24169 × 3747607031112307667_<19>

54:

\[{3^{54}-1\over2}\]

2² × 7 × 13 × 19 × 37 × 109 × 433 × 757 × 8209 × 19441 × 19927

55:

\[{3^{55}-1\over2}\]

11³ × 23 × 1321 × 3851 × 560088668384411_<15>

56:

\[{3^{56}-1\over2}\]

2⁴ × 5 × 29 × 41 × 547 × 1093 × 16493 × 430697 × 647753

57:

\[{3^{57}-1\over2}\]

13 × 229 × 1597 × 248749 × 363889 × 1824179209

58:

\[{3^{58}-1\over2}\]

2² × 59 × 523 × 6091 × 28537 × 5385997 × 20381027

59:

\[{3^{59}-1\over2}\]

14425532687_<11> × 489769993189671059_<18>

60:

\[{3^{60}-1\over2}\]

2³ × 5² × 7 × 11² × 13 × 31 × 61 × 73 × 271 × 1181 × 4561 × 47763361

61:

\[{3^{61}-1\over2}\]

603901 × 105293313660391861035901_<24>

62:

\[{3^{62}-1\over2}\]

2² × 683 × 6883 × 102673 × 4404047 × 22434744889_<11>

63:

\[{3^{63}-1\over2}\]

13 × 757 × 1093 × 368089 × 144542918285300809_<18>

64:

\[{3^{64}-1\over2}\]

2⁷ × 5 × 17 × 41 × 193 × 21523361 × 926510094425921_<15>

65:

\[{3^{65}-1\over2}\]

11² × 131 × 797161 × 3701101 × 110133112994711_<15>

66:

\[{3^{66}-1\over2}\]

2² × 7 × 13 × 23 × 67 × 661 × 3851 × 25411 × 176419 × 2413941289

67:

\[{3^{67}-1\over2}\]

221101 × 441019876741_<12> × 475384700124973_<15>

68:

\[{3^{68}-1\over2}\]

2³ × 5 × 103 × 307 × 1021 × 1871 × 34511 × 956353 × 1743831169

69:

\[{3^{69}-1\over2}\]

13 × 47 × 277 × 1001523179 × 2461243576713869557_<19>

70:

\[{3^{70}-1\over2}\]

2² × 11² × 61 × 71 × 547 × 1093 × 2664097031 × 374857981681_<12>

71:

\[{3^{71}-1\over2}\]

3754733257489862401973357979128773_<34>

72:

\[{3^{72}-1\over2}\]

2⁴ × 5 × 7 × 13 × 19 × 37 × 41 × 73 × 757 × 6481 × 530713 × 282429005041_<12>

73:

\[{3^{73}-1\over2}\]

11243 × 20149 × 15768033143_<11> × 9460375336977361_<16>

74:

\[{3^{74}-1\over2}\]

2² × 18427 × 107671 × 13097927 × 56737873 × 17189128703_<11>

75:

\[{3^{75}-1\over2}\]

11² × 13 × 601 × 4561 × 8951 × 9601 × 391151 × 2098303812601_<13>

76:

\[{3^{76}-1\over2}\]

2³ × 5 × 1597 × 2851 × 101917 × 363889 × 5301533 × 25480398173_<11>

77:

\[{3^{77}-1\over2}\]

23 × 1093 × 3851 × 51457561 × 7151459701_<10> × 76831835389_<11>

78:

\[{3^{78}-1\over2}\]

2² × 7 × 13² × 79 × 157 × 313 × 2887 × 6553 × 7333 × 10141 × 398581 × 797161

79:

\[{3^{79}-1\over2}\]

432853009 × 392038110671_<12> × 145171177264407947_<18>

80:

\[{3^{80}-1\over2}\]

2⁵ × 5² × 11² × 17 × 41 × 61 × 193 × 1181 × 14401 × 42521761 × 128653413121_<12>

81:

\[{3^{81}-1\over2}\]

13 × 109 × 433 × 757 × 3889 × 8209 × 1190701 × 12557612956332313_<17>

82:

\[{3^{82}-1\over2}\]

2² × 83 × 33703 × 2526913 × 86950696619_<11> × 270547105429567_<15>

83:

\[{3^{83}-1\over2}\]

167 × 12119 × 1036745531 × 950996059627210897943351_<24>

84:

\[{3^{84}-1\over2}\]

2³ × 5 × 7² × 13 × 29 × 43 × 73 × 547 × 1093 × 2269 × 2857 × 16493 × 368089 × 109688713

85:

\[{3^{85}-1\over2}\]

11² × 1871 × 34511 × 2663568851051_<13> × 862970652262943171_<18>

86:

\[{3^{86}-1\over2}\]

2² × 431 × 380808546861411923_<18> × 82064241848634269407_<20>

87:

\[{3^{87}-1\over2}\]

13 × 59 × 28537 × 74821 × 20381027 × 32234893 × 150224123975857_<15>

88:

\[{3^{88}-1\over2}\]

2⁴ × 5 × 23 × 41 × 67 × 89 × 661 × 3851 × 5501 × 570461 × 2382953 × 56625998353_<11>

89:

\[{3^{89}-1\over2}\]

179 × 1611479891519807_<16> × 5042939439565996049162197_<25>

90:

\[{3^{90}-1\over2}\]

2² × 7 × 11² × 13 × 19 × 31 × 37 × 61 × 181 × 271 × 757 × 1621 × 4561 × 387631 × 755551 × 927001

91:

\[{3^{91}-1\over2}\]

1093 × 797161 × 4011586307 × 3745603812007166116831643_<25>

92:

\[{3^{92}-1\over2}\]

2³ × 5 × 47 × 12553493 × 1001523179 × 23535794707_<11> × 70601370627701_<14>

93:

\[{3^{93}-1\over2}\]

13 × 683 × 1117 × 102673 × 4404047 × 26273701844015319144827917_<26>

94:

\[{3^{94}-1\over2}\]

2² × 1223 × 16921 × 21997 × 256057 × 5112661 × 96656723 × 1534179947851_<13>

95:

\[{3^{95}-1\over2}\]

11² × 191 × 1597 × 363889 × 78958087694609321439660131899631_<32>

96:

\[{3^{96}-1\over2}\]

2⁶ × 5 × 7 × 13 × 17 × 41 × 73 × 97 × 193 × 577 × 769 × 6481 × 76801 × 21523361 × 24127552321_<11>

97:

\[{3^{97}-1\over2}\]

76631 × 2549755542947_<13> × 48845962828028421155731228333_<29>

98:

\[{3^{98}-1\over2}\]

2² × 491 × 547 × 1093 × 4019 × 8233 × 51157 × 131713 × 857643277 × 127522693159_<12>

99:

\[{3^{99}-1\over2}\]

13 × 23 × 757 × 3851 × 3186217 × 2413941289 × 12812432238302009985937_<23>

Base 3 Repunits

Table