Liste des fractions de n/139 en base 8.

Il existe 3 périodes de 46 chiffres pour n/139 en base 8.

Pour toutes les fractions de n/139 en base 8, la période de 1/139 revient alors 46 fois (en orange)

1/139=0,0035357331245602606344277424204465321751714335...

2/139=0,0072736662513405414710577050411152643723630672...

3/139=0,0130316213761210223255076474615640165675545227...

4/139=0,0165675545227013031621376121022325507647461564...

5/139=0,0223255076474615640165675545227013031621376121...

6/139=0,0260634427742420446532175171433500353573312456...

7/139=0,0316213761210223255076474615640165675545227013...

8/139=0,0353573312456026063442774242044653217517143350...

9/139=0,0411152643723630672007273666251340541471057705...

10/139=0,0446532175171433500353573312456026063442774242...

11/139=0,0504111526437236306720072736662513405414710577...

12/139=0,0541471057705041115264372363067200727366625134...

13/139=0,0577050411152643723630672007273666251340541471...

14/139=0,0634427742420446532175171433500353573312456026...

15/139=0,0672007273666251340541471057705041115264372363...

16/139=0,0727366625134054147105770504111526437236306720...

17/139=0,0764746156401656755452270130316213761210223255...

18/139=0,1022325507647461564016567554522701303162137612...

19/139=0,1057705041115264372363067200727366625134054147...

20/139=0,1115264372363067200727366625134054147105770504...

21/139=0,1152643723630672007273666251340541471057705041...

22/139=0,1210223255076474615640165675545227013031621376...

23/139=0,1245602606344277424204465321751714335003535733...

24/139=0,1303162137612102232550764746156401656755452270...

25/139=0,1340541471057705041115264372363067200727366625...

26/139=0,1376121022325507647461564016567554522701303162...

27/139=0,1433500353573312456026063442774242044653217517...

28/139=0,1471057705041115264372363067200727366625134054...

29/139=0,1526437236306720072736662513405414710577050411...

30/139=0,1564016567554522701303162137612102232550764746...

31/139=0,1621376121022325507647461564016567554522701303...

32/139=0,1656755452270130316213761210223255076474615640...

33/139=0,1714335003535733124560260634427742420446532175...

34/139=0,1751714335003535733124560260634427742420446532...

35/139=0,2007273666251340541471057705041115264372363067...

36/139=0,2044653217517143350035357331245602606344277424...

37/139=0,2102232550764746156401656755452270130316213761...

38/139=0,2137612102232550764746156401656755452270130316...

39/139=0,2175171433500353573312456026063442774242044653...

40/139=0,2232550764746156401656755452270130316213761210...

41/139=0,2270130316213761210223255076474615640165675545...

42/139=0,2325507647461564016567554522701303162137612102...

43/139=0,2363067200727366625134054147105770504111526437...

44/139=0,2420446532175171433500353573312456026063442774...

45/139=0,2456026063442774242044653217517143350035357331...

46/139=0,2513405414710577050411152643723630672007273666...

47/139=0,2550764746156401656755452270130316213761210223...

48/139=0,2606344277424204465321751714335003535733124560...

49/139=0,2643723630672007273666251340541471057705041115...

50/139=0,2701303162137612102232550764746156401656755452...

51/139=0,2736662513405414710577050411152643723630672007...

52/139=0,2774242044653217517143350035357331245602606344...

53/139=0,3031621376121022325507647461564016567554522701...

54/139=0,3067200727366625134054147105770504111526437236...

55/139=0,3124560260634427742420446532175171433500353573...

56/139=0,3162137612102232550764746156401656755452270130...

57/139=0,3217517143350035357331245602606344277424204465...

58/139=0,3255076474615640165675545227013031621376121022...

59/139=0,3312456026063442774242044653217517143350035357...

60/139=0,3350035357331245602606344277424204465321751714...

61/139=0,3405414710577050411152643723630672007273666251...

62/139=0,3442774242044653217517143350035357331245602606...

63/139=0,3500353573312456026063442774242044653217517143...

64/139=0,3535733124560260634427742420446532175171433500...

65/139=0,3573312456026063442774242044653217517143350035...

66/139=0,3630672007273666251340541471057705041115264372...

67/139=0,3666251340541471057705041115264372363067200727...

68/139=0,3723630672007273666251340541471057705041115264...

69/139=0,3761210223255076474615640165675545227013031621...

70/139=0,4016567554522701303162137612102232550764746156...

71/139=0,4054147105770504111526437236306720072736662513...

72/139=0,4111526437236306720072736662513405414710577050...

73/139=0,4147105770504111526437236306720072736662513405...

74/139=0,4204465321751714335003535733124560260634427742...

75/139=0,4242044653217517143350035357331245602606344277...

76/139=0,4277424204465321751714335003535733124560260634...

77/139=0,4335003535733124560260634427742420446532175171...

78/139=0,4372363067200727366625134054147105770504111526...

79/139=0,4427742420446532175171433500353573312456026063...

80/139=0,4465321751714335003535733124560260634427742420...

81/139=0,4522701303162137612102232550764746156401656755...

82/139=0,4560260634427742420446532175171433500353573312...

83/139=0,4615640165675545227013031621376121022325507647...

84/139=0,4653217517143350035357331245602606344277424204...

85/139=0,4710577050411152643723630672007273666251340541...

86/139=0,4746156401656755452270130316213761210223255076...

87/139=0,5003535733124560260634427742420446532175171433...

88/139=0,5041115264372363067200727366625134054147105770...

89/139=0,5076474615640165675545227013031621376121022325...

90/139=0,5134054147105770504111526437236306720072736662...

91/139=0,5171433500353573312456026063442774242044653217...

92/139=0,5227013031621376121022325507647461564016567554...

93/139=0,5264372363067200727366625134054147105770504111...

94/139=0,5321751714335003535733124560260634427742420446...

95/139=0,5357331245602606344277424204465321751714335003...

96/139=0,5414710577050411152643723630672007273666251340...

97/139=0,5452270130316213761210223255076474615640165675...

98/139=0,5507647461564016567554522701303162137612102232...

99/139=0,5545227013031621376121022325507647461564016567...

100/139=0,5602606344277424204465321751714335003535733124...

101/139=0,5640165675545227013031621376121022325507647461...

102/139=0,5675545227013031621376121022325507647461564016...

103/139=0,5733124560260634427742420446532175171433500353...

104/139=0,5770504111526437236306720072736662513405414710...

105/139=0,6026063442774242044653217517143350035357331245...

106/139=0,6063442774242044653217517143350035357331245602...

107/139=0,6121022325507647461564016567554522701303162137...

108/139=0,6156401656755452270130316213761210223255076474...

109/139=0,6213761210223255076474615640165675545227013031...

110/139=0,6251340541471057705041115264372363067200727366...

111/139=0,6306720072736662513405414710577050411152643723...

112/139=0,6344277424204465321751714335003535733124560260...

113/139=0,6401656755452270130316213761210223255076474615...

114/139=0,6437236306720072736662513405414710577050411152...

115/139=0,6474615640165675545227013031621376121022325507...

116/139=0,6532175171433500353573312456026063442774242044...

117/139=0,6567554522701303162137612102232550764746156401...

118/139=0,6625134054147105770504111526437236306720072736...

119/139=0,6662513405414710577050411152643723630672007273...

120/139=0,6720072736662513405414710577050411152643723630...

121/139=0,6755452270130316213761210223255076474615640165...

122/139=0,7013031621376121022325507647461564016567554522...

123/139=0,7050411152643723630672007273666251340541471057...

124/139=0,7105770504111526437236306720072736662513405414...

125/139=0,7143350035357331245602606344277424204465321751...

126/139=0,7200727366625134054147105770504111526437236306...

127/139=0,7236306720072736662513405414710577050411152643...

128/139=0,7273666251340541471057705041115264372363067200...

129/139=0,7331245602606344277424204465321751714335003535...

130/139=0,7366625134054147105770504111526437236306720072...

131/139=0,7424204465321751714335003535733124560260634427...

132/139=0,7461564016567554522701303162137612102232550764...

133/139=0,7517143350035357331245602606344277424204465321...

134/139=0,7554522701303162137612102232550764746156401656...

135/139=0,7612102232550764746156401656755452270130316213...

136/139=0,7647461564016567554522701303162137612102232550...

137/139=0,7705041115264372363067200727366625134054147105...

138/139=0,7742420446532175171433500353573312456026063442...

On remarque que le produit du nombre de périodes (3) et de leurs longueurs (46) est égal à 138 et donc au premier -1.