Liste des fractions de n/163 en base 5.

Il existe 3 périodes de 54 chiffres pour n/163 en base 5.

Pour toutes les fractions de n/163 en base 5, la période de 1/163 revient alors 54 fois (en orange)

1/163=0,000340412140110314134214401444104032304334130310230043...

2/163=0,001231324330221133323434303443213120114223311121010141...

3/163=0,002122242020332003013204210442322202424112441431240234...

4/163=0,003013204210442322202424112441431240234002122242020332...

5/163=0,003404121401103141342144014441040323043341303102300430...

6/163=0,004300034041214011031413421440144410403230433413031023...

7/163=0,010141001231324330221133323434303443213120114223311121...

8/163=0,011031413421440144410403230433413031023004300034041214...

9/163=0,011422331112101014100123132433022113332343430344321312...

10/163=0,012313243302211333234343034432131201142233111210101410...

11/163=0,013204210442322202424112441431240234002122242020332003...

12/163=0,014100123132433022113332343430344321312011422331112101...

13/163=0,014441040323043341303102300430003404121401103141342144...

14/163=0,020332003013204210442322202424112441431240234002122242...

15/163=0,021222420203320030132042104423222024241124414312402340...

16/163=0,022113332343430344321312011422331112101014100123132433...

17/163=0,023004300034041214011031413421440144410403230433413031...

18/163=0,023400212224202033200301320421044232220242411244143124...

19/163=0,024241124414312402340021222420203320030132042104423222...

20/163=0,030132042104423222024241124414312402340021222420203320...

21/163=0,031023004300034041214011031413421440144410403230433413...

22/163=0,031413421440144410403230433413031023004300034041214011...

23/163=0,032304334130310230043000340412140110314134214401444104...

24/163=0,033200301320421044232220242411244143124023400212224202...

25/163=0,034041214011031413421440144410403230433413031023004300...

26/163=0,034432131201142233111210101410012313243302211333234343...

27/163=0,040323043341303102300430003404121401103141342144014441...

28/163=0,041214011031413421440144410403230433413031023004300034...

29/163=0,042104423222024241124414312402340021222420203320030132...

30/163=0,043000340412140110314134214401444104032304334130310230...

31/163=0,043341303102300430003404121401103141342144014441040323...

32/163=0,044232220242411244143124023400212224202033200301320421...

33/163=0,100123132433022113332343430344321312011422331112101014...

34/163=0,101014100123132433022113332343430344321312011422331112...

35/163=0,101410012313243302211333234343034432131201142233111210...

36/163=0,102300430003404121401103141342144014441040323043341303...

37/163=0,103141342144014441040323043341303102300430003404121401...

38/163=0,104032304334130310230043000340412140110314134214401444...

39/163=0,104423222024241124414312402340021222420203320030132042...

40/163=0,110314134214401444104032304334130310230043000340412140...

41/163=0,111210101410012313243302211333234343034432131201142233...

42/163=0,112101014100123132433022113332343430344321312011422331...

43/163=0,112441431240234002122242020332003013204210442322202424...

44/163=0,113332343430344321312011422331112101014100123132433022...

45/163=0,114223311121010141001231324330221133323434303443213120...

46/163=0,120114223311121010141001231324330221133323434303443213...

47/163=0,121010141001231324330221133323434303443213120114223311...

48/163=0,121401103141342144014441040323043341303102300430003404...

49/163=0,122242020332003013204210442322202424112441431240234002...

50/163=0,123132433022113332343430344321312011422331112101014100...

51/163=0,124023400212224202033200301320421044232220242411244143...

52/163=0,124414312402340021222420203320030132042104423222024241...

53/163=0,130310230043000340412140110314134214401444104032304334...

54/163=0,131201142233111210101410012313243302211333234343034432...

55/163=0,132042104423222024241124414312402340021222420203320030...

56/163=0,132433022113332343430344321312011422331112101014100123...

57/163=0,133323434303443213120114223311121010141001231324330221...

58/163=0,134214401444104032304334130310230043000340412140110314...

59/163=0,140110314134214401444104032304334130310230043000340412...

60/163=0,141001231324330221133323434303443213120114223311121010...

61/163=0,141342144014441040323043341303102300430003404121401103...

62/163=0,142233111210101410012313243302211333234343034432131201...

63/163=0,143124023400212224202033200301320421044232220242411244...

64/163=0,144014441040323043341303102300430003404121401103141342...

65/163=0,144410403230433413031023004300034041214011031413421440...

66/163=0,200301320421044232220242411244143124023400212224202033...

67/163=0,201142233111210101410012313243302211333234343034432131...

68/163=0,202033200301320421044232220242411244143124023400212224...

69/163=0,202424112441431240234002122242020332003013204210442322...

70/163=0,203320030132042104423222024241124414312402340021222420...

71/163=0,204210442322202424112441431240234002122242020332003013...

72/163=0,210101410012313243302211333234343034432131201142233111...

73/163=0,210442322202424112441431240234002122242020332003013204...

74/163=0,211333234343034432131201142233111210101410012313243302...

75/163=0,212224202033200301320421044232220242411244143124023400...

76/163=0,213120114223311121010141001231324330221133323434303443...

77/163=0,214011031413421440144410403230433413031023004300034041...

78/163=0,214401444104032304334130310230043000340412140110314134...

79/163=0,220242411244143124023400212224202033200301320421044232...

80/163=0,221133323434303443213120114223311121010141001231324330...

81/163=0,222024241124414312402340021222420203320030132042104423...

82/163=0,222420203320030132042104423222024241124414312402340021...

83/163=0,223311121010141001231324330221133323434303443213120114...

84/163=0,224202033200301320421044232220242411244143124023400212...

85/163=0,230043000340412140110314134214401444104032304334130310...

86/163=0,230433413031023004300034041214011031413421440144410403...

87/163=0,231324330221133323434303443213120114223311121010141001...

88/163=0,232220242411244143124023400212224202033200301320421044...

89/163=0,233111210101410012313243302211333234343034432131201142...

90/163=0,234002122242020332003013204210442322202424112441431240...

91/163=0,234343034432131201142233111210101410012313243302211333...

92/163=0,240234002122242020332003013204210442322202424112441431...

93/163=0,241124414312402340021222420203320030132042104423222024...

94/163=0,242020332003013204210442322202424112441431240234002122...

95/163=0,242411244143124023400212224202033200301320421044232220...

96/163=0,243302211333234343034432131201142233111210101410012313...

97/163=0,244143124023400212224202033200301320421044232220242411...

98/163=0,300034041214011031413421440144410403230433413031023004...

99/163=0,300430003404121401103141342144014441040323043341303102...

100/163=0,301320421044232220242411244143124023400212224202033200...

101/163=0,302211333234343034432131201142233111210101410012313243...

102/163=0,303102300430003404121401103141342144014441040323043341...

103/163=0,303443213120114223311121010141001231324330221133323434...

104/163=0,304334130310230043000340412140110314134214401444104032...

105/163=0,310230043000340412140110314134214401444104032304334130...

106/163=0,311121010141001231324330221133323434303443213120114223...

107/163=0,312011422331112101014100123132433022113332343430344321...

108/163=0,312402340021222420203320030132042104423222024241124414...

109/163=0,313243302211333234343034432131201142233111210101410012...

110/163=0,314134214401444104032304334130310230043000340412140110...

111/163=0,320030132042104423222024241124414312402340021222420203...

112/163=0,320421044232220242411244143124023400212224202033200301...

113/163=0,321312011422331112101014100123132433022113332343430344...

114/163=0,322202424112441431240234002122242020332003013204210442...

115/163=0,323043341303102300430003404121401103141342144014441040...

116/163=0,323434303443213120114223311121010141001231324330221133...

117/163=0,324330221133323434303443213120114223311121010141001231...

118/163=0,330221133323434303443213120114223311121010141001231324...

119/163=0,331112101014100123132433022113332343430344321312011422...

120/163=0,332003013204210442322202424112441431240234002122242020...

121/163=0,332343430344321312011422331112101014100123132433022113...

122/163=0,333234343034432131201142233111210101410012313243302211...

123/163=0,334130310230043000340412140110314134214401444104032304...

124/163=0,340021222420203320030132042104423222024241124414312402...

125/163=0,340412140110314134214401444104032304334130310230043000...

126/163=0,341303102300430003404121401103141342144014441040323043...

127/163=0,342144014441040323043341303102300430003404121401103141...

128/163=0,343034432131201142233111210101410012313243302211333234...

129/163=0,343430344321312011422331112101014100123132433022113332...

130/163=0,344321312011422331112101014100123132433022113332343430...

131/163=0,400212224202033200301320421044232220242411244143124023...

132/163=0,401103141342144014441040323043341303102300430003404121...

133/163=0,401444104032304334130310230043000340412140110314134214...

134/163=0,402340021222420203320030132042104423222024241124414312...

135/163=0,403230433413031023004300034041214011031413421440144410...

136/163=0,404121401103141342144014441040323043341303102300430003...

137/163=0,410012313243302211333234343034432131201142233111210101...

138/163=0,410403230433413031023004300034041214011031413421440144...

139/163=0,411244143124023400212224202033200301320421044232220242...

140/163=0,412140110314134214401444104032304334130310230043000340...

141/163=0,413031023004300034041214011031413421440144410403230433...

142/163=0,413421440144410403230433413031023004300034041214011031...

143/163=0,414312402340021222420203320030132042104423222024241124...

144/163=0,420203320030132042104423222024241124414312402340021222...

145/163=0,421044232220242411244143124023400212224202033200301320...

146/163=0,421440144410403230433413031023004300034041214011031413...

147/163=0,422331112101014100123132433022113332343430344321312011...

148/163=0,423222024241124414312402340021222420203320030132042104...

149/163=0,424112441431240234002122242020332003013204210442322202...

150/163=0,430003404121401103141342144014441040323043341303102300...

151/163=0,430344321312011422331112101014100123132433022113332343...

152/163=0,431240234002122242020332003013204210442322202424112441...

153/163=0,432131201142233111210101410012313243302211333234343034...

154/163=0,433022113332343430344321312011422331112101014100123132...

155/163=0,433413031023004300034041214011031413421440144410403230...

156/163=0,434303443213120114223311121010141001231324330221133323...

157/163=0,440144410403230433413031023004300034041214011031413421...

158/163=0,441040323043341303102300430003404121401103141342144014...

159/163=0,441431240234002122242020332003013204210442322202424112...

160/163=0,442322202424112441431240234002122242020332003013204210...

161/163=0,443213120114223311121010141001231324330221133323434303...

162/163=0,444104032304334130310230043000340412140110314134214401...

On remarque que le produit du nombre de périodes (3) et de leurs longueurs (54) est égal à 162 et donc au premier -1.