Liste des fractions de n/137 en base 8.

Il existe 2 périodes de 68 chiffres pour n/137 en base 8.

Pour toutes les fractions de n/137 en base 8, la période de 1/137 revient alors 68 fois (en orange)

1/137=0,00357135334376103212216007362726707742064244340167456556177041505107...

2/137=0,00736272670774206424434016745655617704150510700357135334376103212216...

3/137=0,01315430225372311636652026330604527646234755240546614112575144717325...

4/137=0,01674565561770415051070035713533437610321221600736272670774206424434...

5/137=0,02253723116366520263306045276462347552405466141125751447173250131543...

6/137=0,02633060452764623475524054661411257514471732501315430225372311636652...

7/137=0,03212216007362726707742064244340167456556177041505107003571353343761...

8/137=0,03571353343761032122160073627267077420642443401674565561770415051070...

9/137=0,04150510700357135334376103212216007362726707742064244340167456556177...

10/137=0,04527646234755240546614112575144717325013154302253723116366520263306...

11/137=0,05107003571353343761032122160073627267077420642443401674565561770415...

12/137=0,05466141125751447173250131543022537231163665202633060452764623475524...

13/137=0,06045276462347552405466141125751447173250131543022537231163665202633...

14/137=0,06424434016745655617704150510700357135334376103212216007362726707742...

15/137=0,07003571353343761032122160073627267077420642443401674565561770415051...

16/137=0,07362726707742064244340167456556177041505107003571353343761032122160...

17/137=0,07742064244340167456556177041505107003571353343761032122160073627267...

18/137=0,10321221600736272670774206424434016745655617704150510700357135334376...

19/137=0,10700357135334376103212216007362726707742064244340167456556177041505...

20/137=0,11257514471732501315430225372311636652026330604527646234755240546614...

21/137=0,11636652026330604527646234755240546614112575144717325013154302253723...

22/137=0,12216007362726707742064244340167456556177041505107003571353343761032...

23/137=0,12575144717325013154302253723116366520263306045276462347552405466141...

24/137=0,13154302253723116366520263306045276462347552405466141125751447173250...

25/137=0,13533437610321221600736272670774206424434016745655617704150510700357...

26/137=0,14112575144717325013154302253723116366520263306045276462347552405466...

27/137=0,14471732501315430225372311636652026330604527646234755240546614112575...

28/137=0,15051070035713533437610321221600736272670774206424434016745655617704...

29/137=0,15430225372311636652026330604527646234755240546614112575144717325013...

30/137=0,16007362726707742064244340167456556177041505107003571353343761032122...

31/137=0,16366520263306045276462347552405466141125751447173250131543022537231...

32/137=0,16745655617704150510700357135334376103212216007362726707742064244340...

33/137=0,17325013154302253723116366520263306045276462347552405466141125751447...

34/137=0,17704150510700357135334376103212216007362726707742064244340167456556...

35/137=0,20263306045276462347552405466141125751447173250131543022537231163665...

36/137=0,20642443401674565561770415051070035713533437610321221600736272670774...

37/137=0,21221600736272670774206424434016745655617704150510700357135334376103...

38/137=0,21600736272670774206424434016745655617704150510700357135334376103212...

39/137=0,22160073627267077420642443401674565561770415051070035713533437610321...

40/137=0,22537231163665202633060452764623475524054661411257514471732501315430...

41/137=0,23116366520263306045276462347552405466141125751447173250131543022537...

42/137=0,23475524054661411257514471732501315430225372311636652026330604527646...

43/137=0,24054661411257514471732501315430225372311636652026330604527646234755...

44/137=0,24434016745655617704150510700357135334376103212216007362726707742064...

45/137=0,25013154302253723116366520263306045276462347552405466141125751447173...

46/137=0,25372311636652026330604527646234755240546614112575144717325013154302...

47/137=0,25751447173250131543022537231163665202633060452764623475524054661411...

48/137=0,26330604527646234755240546614112575144717325013154302253723116366520...

49/137=0,26707742064244340167456556177041505107003571353343761032122160073627...

50/137=0,27267077420642443401674565561770415051070035713533437610321221600736...

51/137=0,27646234755240546614112575144717325013154302253723116366520263306045...

52/137=0,30225372311636652026330604527646234755240546614112575144717325013154...

53/137=0,30604527646234755240546614112575144717325013154302253723116366520263...

54/137=0,31163665202633060452764623475524054661411257514471732501315430225372...

55/137=0,31543022537231163665202633060452764623475524054661411257514471732501...

56/137=0,32122160073627267077420642443401674565561770415051070035713533437610...

57/137=0,32501315430225372311636652026330604527646234755240546614112575144717...

58/137=0,33060452764623475524054661411257514471732501315430225372311636652026...

59/137=0,33437610321221600736272670774206424434016745655617704150510700357135...

60/137=0,34016745655617704150510700357135334376103212216007362726707742064244...

61/137=0,34376103212216007362726707742064244340167456556177041505107003571353...

62/137=0,34755240546614112575144717325013154302253723116366520263306045276462...

63/137=0,35334376103212216007362726707742064244340167456556177041505107003571...

64/137=0,35713533437610321221600736272670774206424434016745655617704150510700...

65/137=0,36272670774206424434016745655617704150510700357135334376103212216007...

66/137=0,36652026330604527646234755240546614112575144717325013154302253723116...

67/137=0,37231163665202633060452764623475524054661411257514471732501315430225...

68/137=0,37610321221600736272670774206424434016745655617704150510700357135334...

69/137=0,40167456556177041505107003571353343761032122160073627267077420642443...

70/137=0,40546614112575144717325013154302253723116366520263306045276462347552...

71/137=0,41125751447173250131543022537231163665202633060452764623475524054661...

72/137=0,41505107003571353343761032122160073627267077420642443401674565561770...

73/137=0,42064244340167456556177041505107003571353343761032122160073627267077...

74/137=0,42443401674565561770415051070035713533437610321221600736272670774206...

75/137=0,43022537231163665202633060452764623475524054661411257514471732501315...

76/137=0,43401674565561770415051070035713533437610321221600736272670774206424...

77/137=0,43761032122160073627267077420642443401674565561770415051070035713533...

78/137=0,44340167456556177041505107003571353343761032122160073627267077420642...

79/137=0,44717325013154302253723116366520263306045276462347552405466141125751...

80/137=0,45276462347552405466141125751447173250131543022537231163665202633060...

81/137=0,45655617704150510700357135334376103212216007362726707742064244340167...

82/137=0,46234755240546614112575144717325013154302253723116366520263306045276...

83/137=0,46614112575144717325013154302253723116366520263306045276462347552405...

84/137=0,47173250131543022537231163665202633060452764623475524054661411257514...

85/137=0,47552405466141125751447173250131543022537231163665202633060452764623...

86/137=0,50131543022537231163665202633060452764623475524054661411257514471732...

87/137=0,50510700357135334376103212216007362726707742064244340167456556177041...

88/137=0,51070035713533437610321221600736272670774206424434016745655617704150...

89/137=0,51447173250131543022537231163665202633060452764623475524054661411257...

90/137=0,52026330604527646234755240546614112575144717325013154302253723116366...

91/137=0,52405466141125751447173250131543022537231163665202633060452764623475...

92/137=0,52764623475524054661411257514471732501315430225372311636652026330604...

93/137=0,53343761032122160073627267077420642443401674565561770415051070035713...

94/137=0,53723116366520263306045276462347552405466141125751447173250131543022...

95/137=0,54302253723116366520263306045276462347552405466141125751447173250131...

96/137=0,54661411257514471732501315430225372311636652026330604527646234755240...

97/137=0,55240546614112575144717325013154302253723116366520263306045276462347...

98/137=0,55617704150510700357135334376103212216007362726707742064244340167456...

99/137=0,56177041505107003571353343761032122160073627267077420642443401674565...

100/137=0,56556177041505107003571353343761032122160073627267077420642443401674...

101/137=0,57135334376103212216007362726707742064244340167456556177041505107003...

102/137=0,57514471732501315430225372311636652026330604527646234755240546614112...

103/137=0,60073627267077420642443401674565561770415051070035713533437610321221...

104/137=0,60452764623475524054661411257514471732501315430225372311636652026330...

105/137=0,61032122160073627267077420642443401674565561770415051070035713533437...

106/137=0,61411257514471732501315430225372311636652026330604527646234755240546...

107/137=0,61770415051070035713533437610321221600736272670774206424434016745655...

108/137=0,62347552405466141125751447173250131543022537231163665202633060452764...

109/137=0,62726707742064244340167456556177041505107003571353343761032122160073...

110/137=0,63306045276462347552405466141125751447173250131543022537231163665202...

111/137=0,63665202633060452764623475524054661411257514471732501315430225372311...

112/137=0,64244340167456556177041505107003571353343761032122160073627267077420...

113/137=0,64623475524054661411257514471732501315430225372311636652026330604527...

114/137=0,65202633060452764623475524054661411257514471732501315430225372311636...

115/137=0,65561770415051070035713533437610321221600736272670774206424434016745...

116/137=0,66141125751447173250131543022537231163665202633060452764623475524054...

117/137=0,66520263306045276462347552405466141125751447173250131543022537231163...

118/137=0,67077420642443401674565561770415051070035713533437610321221600736272...

119/137=0,67456556177041505107003571353343761032122160073627267077420642443401...

120/137=0,70035713533437610321221600736272670774206424434016745655617704150510...

121/137=0,70415051070035713533437610321221600736272670774206424434016745655617...

122/137=0,70774206424434016745655617704150510700357135334376103212216007362726...

123/137=0,71353343761032122160073627267077420642443401674565561770415051070035...

124/137=0,71732501315430225372311636652026330604527646234755240546614112575144...

125/137=0,72311636652026330604527646234755240546614112575144717325013154302253...

126/137=0,72670774206424434016745655617704150510700357135334376103212216007362...

127/137=0,73250131543022537231163665202633060452764623475524054661411257514471...

128/137=0,73627267077420642443401674565561770415051070035713533437610321221600...

129/137=0,74206424434016745655617704150510700357135334376103212216007362726707...

130/137=0,74565561770415051070035713533437610321221600736272670774206424434016...

131/137=0,75144717325013154302253723116366520263306045276462347552405466141125...

132/137=0,75524054661411257514471732501315430225372311636652026330604527646234...

133/137=0,76103212216007362726707742064244340167456556177041505107003571353343...

134/137=0,76462347552405466141125751447173250131543022537231163665202633060452...

135/137=0,77041505107003571353343761032122160073627267077420642443401674565561...

136/137=0,77420642443401674565561770415051070035713533437610321221600736272670...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (68) est égal à 136 et donc au premier -1.