Liste des fractions de n/137 en base 7

Il existe 2 périodes de 68 chiffres pour n/137 en base 7.

Pour toutes les fractions de n/137 en base 7, la période de 1/137 revient alors 68 fois (en orange)

1/137=0,00233451560630313505236116406536616643321510603635316143055026013005...

2/137=0,00500233451560630313505236116406536616643321510603635316143055026013...

3/137=0,01034015342521244122044355526246456563265132414542254462231114042021...

4/137=0,01300500233451560630313505236116406536616643321510603635316143055026...

5/137=0,01534252124412204435552624645656326513241454225446223111404202101034...

6/137=0,02101034015342521244122044355526246456563265132414542254462231114042...

7/137=0,02334515606303135052361164065366166433215106036353161430550260130050...

8/137=0,02601300500233451560630313505236116406536616643321510603635316143055...

9/137=0,03135052361164065366166433215106036353161430550260130050023345156063...

10/137=0,03401534252124412204435552624645656326513241454225446223111404202101...

11/137=0,03635316143055026013005002334515606303135052361164065366166433215106...

12/137=0,04202101034015342521244122044355526246456563265132414542254462231114...

13/137=0,04435552624645656326513241454225446223111404202101034015342521244122...

14/137=0,05002334515606303135052361164065366166433215106036353161430550260130...

15/137=0,05236116406536616643321510603635316143055026013005002334515606303135...

16/137=0,05502601300500233451560630313505236116406536616643321510603635316143...

17/137=0,06036353161430550260130050023345156063031350523611640653661664332151...

18/137=0,06303135052361164065366166433215106036353161430550260130050023345156...

19/137=0,06536616643321510603635316143055026013005002334515606303135052361164...

20/137=0,10103401534252124412204435552624645656326513241454225446223111404202...

21/137=0,10340153425212441220443555262464565632651324145422544622311140420210...

22/137=0,10603635316143055026013005002334515606303135052361164065366166433215...

23/137=0,11140420210103401534252124412204435552624645656326513241454225446223...

24/137=0,11404202101034015342521244122044355526246456563265132414542254462231...

25/137=0,11640653661664332151060363531614305502601300500233451560630313505236...

26/137=0,12204435552624645656326513241454225446223111404202101034015342521244...

27/137=0,12441220443555262464565632651324145422544622311140420210103401534252...

28/137=0,13005002334515606303135052361164065366166433215106036353161430550260...

29/137=0,13241454225446223111404202101034015342521244122044355526246456563265...

30/137=0,13505236116406536616643321510603635316143055026013005002334515606303...

31/137=0,14042021010340153425212441220443555262464565632651324145422544622311...

32/137=0,14305502601300500233451560630313505236116406536616643321510603635316...

33/137=0,14542254462231114042021010340153425212441220443555262464565632651324...

34/137=0,15106036353161430550260130050023345156063031350523611640653661664332...

35/137=0,15342521244122044355526246456563265132414542254462231114042021010340...

36/137=0,15606303135052361164065366166433215106036353161430550260130050023345...

37/137=0,16143055026013005002334515606303135052361164065366166433215106036353...

38/137=0,16406536616643321510603635316143055026013005002334515606303135052361...

39/137=0,16643321510603635316143055026013005002334515606303135052361164065366...

40/137=0,20210103401534252124412204435552624645656326513241454225446223111404...

41/137=0,20443555262464565632651324145422544622311140420210103401534252124412...

42/137=0,21010340153425212441220443555262464565632651324145422544622311140420...

43/137=0,21244122044355526246456563265132414542254462231114042021010340153425...

44/137=0,21510603635316143055026013005002334515606303135052361164065366166433...

45/137=0,22044355526246456563265132414542254462231114042021010340153425212441...

46/137=0,22311140420210103401534252124412204435552624645656326513241454225446...

47/137=0,22544622311140420210103401534252124412204435552624645656326513241454...

48/137=0,23111404202101034015342521244122044355526246456563265132414542254462...

49/137=0,23345156063031350523611640653661664332151060363531614305502601300500...

50/137=0,23611640653661664332151060363531614305502601300500233451560630313505...

51/137=0,24145422544622311140420210103401534252124412204435552624645656326513...

52/137=0,24412204435552624645656326513241454225446223111404202101034015342521...

53/137=0,24645656326513241454225446223111404202101034015342521244122044355526...

54/137=0,25212441220443555262464565632651324145422544622311140420210103401534...

55/137=0,25446223111404202101034015342521244122044355526246456563265132414542...

56/137=0,26013005002334515606303135052361164065366166433215106036353161430550...

57/137=0,26246456563265132414542254462231114042021010340153425212441220443555...

58/137=0,26513241454225446223111404202101034015342521244122044355526246456563...

59/137=0,30050023345156063031350523611640653661664332151060363531614305502601...

60/137=0,30313505236116406536616643321510603635316143055026013005002334515606...

61/137=0,30550260130050023345156063031350523611640653661664332151060363531614...

62/137=0,31114042021010340153425212441220443555262464565632651324145422544622...

63/137=0,31350523611640653661664332151060363531614305502601300500233451560630...

64/137=0,31614305502601300500233451560630313505236116406536616643321510603635...

65/137=0,32151060363531614305502601300500233451560630313505236116406536616643...

66/137=0,32414542254462231114042021010340153425212441220443555262464565632651...

67/137=0,32651324145422544622311140420210103401534252124412204435552624645656...

68/137=0,33215106036353161430550260130050023345156063031350523611640653661664...

69/137=0,33451560630313505236116406536616643321510603635316143055026013005002...

70/137=0,34015342521244122044355526246456563265132414542254462231114042021010...

71/137=0,34252124412204435552624645656326513241454225446223111404202101034015...

72/137=0,34515606303135052361164065366166433215106036353161430550260130050023...

73/137=0,35052361164065366166433215106036353161430550260130050023345156063031...

74/137=0,35316143055026013005002334515606303135052361164065366166433215106036...

75/137=0,35552624645656326513241454225446223111404202101034015342521244122044...

76/137=0,36116406536616643321510603635316143055026013005002334515606303135052...

77/137=0,36353161430550260130050023345156063031350523611640653661664332151060...

78/137=0,36616643321510603635316143055026013005002334515606303135052361164065...

79/137=0,40153425212441220443555262464565632651324145422544622311140420210103...

80/137=0,40420210103401534252124412204435552624645656326513241454225446223111...

81/137=0,40653661664332151060363531614305502601300500233451560630313505236116...

82/137=0,41220443555262464565632651324145422544622311140420210103401534252124...

83/137=0,41454225446223111404202101034015342521244122044355526246456563265132...

84/137=0,42021010340153425212441220443555262464565632651324145422544622311140...

85/137=0,42254462231114042021010340153425212441220443555262464565632651324145...

86/137=0,42521244122044355526246456563265132414542254462231114042021010340153...

87/137=0,43055026013005002334515606303135052361164065366166433215106036353161...

88/137=0,43321510603635316143055026013005002334515606303135052361164065366166...

89/137=0,43555262464565632651324145422544622311140420210103401534252124412204...

90/137=0,44122044355526246456563265132414542254462231114042021010340153425212...

91/137=0,44355526246456563265132414542254462231114042021010340153425212441220...

92/137=0,44622311140420210103401534252124412204435552624645656326513241454225...

93/137=0,45156063031350523611640653661664332151060363531614305502601300500233...

94/137=0,45422544622311140420210103401534252124412204435552624645656326513241...

95/137=0,45656326513241454225446223111404202101034015342521244122044355526246...

96/137=0,46223111404202101034015342521244122044355526246456563265132414542254...

97/137=0,46456563265132414542254462231114042021010340153425212441220443555262...

98/137=0,50023345156063031350523611640653661664332151060363531614305502601300...

99/137=0,50260130050023345156063031350523611640653661664332151060363531614305...

100/137=0,50523611640653661664332151060363531614305502601300500233451560630313...

101/137=0,51060363531614305502601300500233451560630313505236116406536616643321...

102/137=0,51324145422544622311140420210103401534252124412204435552624645656326...

103/137=0,51560630313505236116406536616643321510603635316143055026013005002334...

104/137=0,52124412204435552624645656326513241454225446223111404202101034015342...

105/137=0,52361164065366166433215106036353161430550260130050023345156063031350...

106/137=0,52624645656326513241454225446223111404202101034015342521244122044355...

107/137=0,53161430550260130050023345156063031350523611640653661664332151060363...

108/137=0,53425212441220443555262464565632651324145422544622311140420210103401...

109/137=0,53661664332151060363531614305502601300500233451560630313505236116406...

110/137=0,54225446223111404202101034015342521244122044355526246456563265132414...

111/137=0,54462231114042021010340153425212441220443555262464565632651324145422...

112/137=0,55026013005002334515606303135052361164065366166433215106036353161430...

113/137=0,55262464565632651324145422544622311140420210103401534252124412204435...

114/137=0,55526246456563265132414542254462231114042021010340153425212441220443...

115/137=0,56063031350523611640653661664332151060363531614305502601300500233451...

116/137=0,56326513241454225446223111404202101034015342521244122044355526246456...

117/137=0,56563265132414542254462231114042021010340153425212441220443555262464...

118/137=0,60130050023345156063031350523611640653661664332151060363531614305502...

119/137=0,60363531614305502601300500233451560630313505236116406536616643321510...

120/137=0,60630313505236116406536616643321510603635316143055026013005002334515...

121/137=0,61164065366166433215106036353161430550260130050023345156063031350523...

122/137=0,61430550260130050023345156063031350523611640653661664332151060363531...

123/137=0,61664332151060363531614305502601300500233451560630313505236116406536...

124/137=0,62231114042021010340153425212441220443555262464565632651324145422544...

125/137=0,62464565632651324145422544622311140420210103401534252124412204435552...

126/137=0,63031350523611640653661664332151060363531614305502601300500233451560...

127/137=0,63265132414542254462231114042021010340153425212441220443555262464565...

128/137=0,63531614305502601300500233451560630313505236116406536616643321510603...

129/137=0,64065366166433215106036353161430550260130050023345156063031350523611...

130/137=0,64332151060363531614305502601300500233451560630313505236116406536616...

131/137=0,64565632651324145422544622311140420210103401534252124412204435552624...

132/137=0,65132414542254462231114042021010340153425212441220443555262464565632...

133/137=0,65366166433215106036353161430550260130050023345156063031350523611640...

134/137=0,65632651324145422544622311140420210103401534252124412204435552624645...

135/137=0,66166433215106036353161430550260130050023345156063031350523611640653...

136/137=0,66433215106036353161430550260130050023345156063031350523611640653661...

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