Il existe 6 périodes de 27 chiffres pour n/163 en base 6.

Pour toutes les fractions de n/163 en base 6, la période de 1/163 revient alors 27 fois (en orange)

1/163=0,001154122204505304345452125...

2/163=0,002352244413415013135344254...

3/163=0,003550411022324321525240423...

4/163=0,005144533231234030315132552...

5/163=0,010343055440143335105025121...

6/163=0,011541222045053043454521250...

7/163=0,013135344254002352244413415...

8/163=0,014333510502512101034305544...

9/163=0,015532033111421405424202113...

10/163=0,021130155320331114214054242...

11/163=0,022324321525240423003550411...

12/163=0,023522444134150131353442540...

13/163=0,025121010343055440143335105...

14/163=0,030315132552005144533231234...

15/163=0,031513255200514453323123403...

16/163=0,033111421405424202113015532...

17/163=0,034305544014333510502512101...

18/163=0,035504110223243215252404230...

19/163=0,041102232432152524042300355...

20/163=0,042300355041102232432152524...

21/163=0,043454521250011541222045053...

22/163=0,045053043454521250011541222...

23/163=0,050251210103430554401433351...

24/163=0,051445332312340303151325520...

25/163=0,053043454521250011541222045...

26/163=0,054242021130155320331114214...

27/163=0,055440143335105025121010343...

28/163=0,101034305544014333510502512...

29/163=0,102232432152524042300355041...

30/163=0,103430554401433351050251210...

31/163=0,105025121010343055440143335...

32/163=0,110223243215252404230035504...

33/163=0,111421405424202113015532033...

34/163=0,113015532033111421405424202...

35/163=0,114214054242021130155320331...

36/163=0,115412220450530434545212500...

37/163=0,121010343055440143335105025...

38/163=0,122204505304345452125001154...

39/163=0,123403031513255200514453323...

40/163=0,125001154122204505304345452...

41/163=0,130155320331114214054242021...

42/163=0,131353442540023522444134150...

43/163=0,132552005144533231234030315...

44/163=0,134150131353442540023522444...

45/163=0,135344254002352244413415013...

46/163=0,140542420211301553203311142...

47/163=0,142140542420211301553203311...

48/163=0,143335105025121010343055440...

49/163=0,144533231234030315132552005...

50/163=0,150131353442540023522444134...

51/163=0,151325520051445332312340303...

52/163=0,152524042300355041102232432...

53/163=0,154122204505304345452125001...

54/163=0,155320331114214054242021130...

55/163=0,200514453323123403031513255...

56/163=0,202113015532033111421405424...

57/163=0,203311142140542420211301553...

58/163=0,204505304345452125001154122...

59/163=0,210103430554401433351050251...

60/163=0,211301553203311142140542420...

61/163=0,212500115412220450530434545...

62/163=0,214054242021130155320331114...

63/163=0,215252404230035504110223243...

64/163=0,220450530434545212500115412...

65/163=0,222045053043454521250011541...

66/163=0,223243215252404230035504110...

67/163=0,224441341501313534425400235...

68/163=0,230035504110223243215252404...

69/163=0,231234030315132552005144533...

70/163=0,232432152524042300355041102...

71/163=0,234030315132552005144533231...

72/163=0,235224441341501313534425400...

73/163=0,240423003550411022324321525...

74/163=0,242021130155320331114214054...

75/163=0,243215252404230035504110223...

76/163=0,244413415013135344254002352...

77/163=0,250011541222045053043454521...

78/163=0,251210103430554401433351050...

79/163=0,252404230035504110223243215...

80/163=0,254002352244413415013135344...

81/163=0,255200514453323123403031513...

82/163=0,300355041102232432152524042...

83/163=0,301553203311142140542420211...

84/163=0,303151325520051445332312340...

85/163=0,304345452125001154122204505...

86/163=0,305544014333510502512101034...

87/163=0,311142140542420211301553203...

88/163=0,312340303151325520051445332...

89/163=0,313534425400235224441341501...

90/163=0,315132552005144533231234030...

91/163=0,320331114214054242021130155...

92/163=0,321525240423003550411022324...

93/163=0,323123403031513255200514453...

94/163=0,324321525240423003550411022...

95/163=0,325520051445332312340303151...

96/163=0,331114214054242021130155320...

97/163=0,332312340303151325520051445...

98/163=0,333510502512101034305544014...

99/163=0,335105025121010343055440143...

100/163=0,340303151325520051445332312...

101/163=0,341501313534425400235224441...

102/163=0,343055440143335105025121010...

103/163=0,344254002352244413415013135...

104/163=0,345452125001154122204505304...

105/163=0,351050251210103430554401433...

106/163=0,352244413415013135344254002...

107/163=0,353442540023522444134150131...

108/163=0,355041102232432152524042300...

109/163=0,400235224441341501313534425...

110/163=0,401433351050251210103430554...

111/163=0,403031513255200514453323123...

112/163=0,404230035504110223243215252...

113/163=0,405424202113015532033111421...

114/163=0,411022324321525240423003550...

115/163=0,412220450530434545212500115...

116/163=0,413415013135344254002352244...

117/163=0,415013135344254002352244413...

118/163=0,420211301553203311142140542...

119/163=0,421405424202113015532033111...

120/163=0,423003550411022324321525240...

121/163=0,424202113015532033111421405...

122/163=0,425400235224441341501313534...

123/163=0,430554401433351050251210103...

124/163=0,432152524042300355041102232...

125/163=0,433351050251210103430554401...

126/163=0,434545212500115412220450530...

127/163=0,440143335105025121010343055...

128/163=0,441341501313534425400235224...

129/163=0,442540023522444134150131353...

130/163=0,444134150131353442540023522...

131/163=0,445332312340303151325520051...

132/163=0,450530434545212500115412220...

133/163=0,452125001154122204505304345...

134/163=0,453323123403031513255200514...

135/163=0,454521250011541222045053043...

136/163=0,500115412220450530434545212...

137/163=0,501313534425400235224441341...

138/163=0,502512101034305544014333510...

139/163=0,504110223243215252404230035...

140/163=0,505304345452125001154122204...

141/163=0,510502512101034305544014333...

142/163=0,512101034305544014333510502...

143/163=0,513255200514453323123403031...

144/163=0,514453323123403031513255200...

145/163=0,520051445332312340303151325...

146/163=0,521250011541222045053043454...

147/163=0,522444134150131353442540023...

148/163=0,524042300355041102232432152...

149/163=0,525240423003550411022324321...

150/163=0,530434545212500115412220450...

151/163=0,532033111421405424202113015...

152/163=0,533231234030315132552005144...

153/163=0,534425400235224441341501313...

154/163=0,540023522444134150131353442...

155/163=0,541222045053043454521250011...

156/163=0,542420211301553203311142140...

157/163=0,544014333510502512101034305...

158/163=0,545212500115412220450530434...

159/163=0,550411022324321525240423003...

160/163=0,552005144533231234030315132...

161/163=0,553203311142140542420211301...

162/163=0,554401433351050251210103430...

On remarque que le produit du nombre de périodes (6) et de leurs longueurs (27) est égal à 162 et donc au premier -1.