Il existe 30 périodes de 5 chiffres pour n/151 en base 8.

Pour toutes les fractions de n/151 en base 8, la période de 1/151 revient alors 5 fois (en orange)

1/151=0,00331...

2/151=0,00662...

3/151=0,01213...

4/151=0,01544...

5/151=0,02075...

6/151=0,02426...

7/151=0,02757...

8/151=0,03310...

9/151=0,03641...

10/151=0,04172...

11/151=0,04523...

12/151=0,05054...

13/151=0,05405...

14/151=0,05736...

15/151=0,06267...

16/151=0,06620...

17/151=0,07151...

18/151=0,07502...

19/151=0,10033...

20/151=0,10364...

21/151=0,10715...

22/151=0,11246...

23/151=0,11577...

24/151=0,12130...

25/151=0,12461...

26/151=0,13012...

27/151=0,13343...

28/151=0,13674...

29/151=0,14225...

30/151=0,14556...

31/151=0,15107...

32/151=0,15440...

33/151=0,15771...

34/151=0,16322...

35/151=0,16653...

36/151=0,17204...

37/151=0,17535...

38/151=0,20066...

39/151=0,20417...

40/151=0,20750...

41/151=0,21301...

42/151=0,21632...

43/151=0,22163...

44/151=0,22514...

45/151=0,23045...

46/151=0,23376...

47/151=0,23727...

48/151=0,24260...

49/151=0,24611...

50/151=0,25142...

51/151=0,25473...

52/151=0,26024...

53/151=0,26355...

54/151=0,26706...

55/151=0,27237...

56/151=0,27570...

57/151=0,30121...

58/151=0,30452...

59/151=0,31003...

60/151=0,31334...

61/151=0,31665...

62/151=0,32216...

63/151=0,32547...

64/151=0,33100...

65/151=0,33431...

66/151=0,33762...

67/151=0,34313...

68/151=0,34644...

69/151=0,35175...

70/151=0,35526...

71/151=0,36057...

72/151=0,36410...

73/151=0,36741...

74/151=0,37272...

75/151=0,37623...

76/151=0,40154...

77/151=0,40505...

78/151=0,41036...

79/151=0,41367...

80/151=0,41720...

81/151=0,42251...

82/151=0,42602...

83/151=0,43133...

84/151=0,43464...

85/151=0,44015...

86/151=0,44346...

87/151=0,44677...

88/151=0,45230...

89/151=0,45561...

90/151=0,46112...

91/151=0,46443...

92/151=0,46774...

93/151=0,47325...

94/151=0,47656...

95/151=0,50207...

96/151=0,50540...

97/151=0,51071...

98/151=0,51422...

99/151=0,51753...

100/151=0,52304...

101/151=0,52635...

102/151=0,53166...

103/151=0,53517...

104/151=0,54050...

105/151=0,54401...

106/151=0,54732...

107/151=0,55263...

108/151=0,55614...

109/151=0,56145...

110/151=0,56476...

111/151=0,57027...

112/151=0,57360...

113/151=0,57711...

114/151=0,60242...

115/151=0,60573...

116/151=0,61124...

117/151=0,61455...

118/151=0,62006...

119/151=0,62337...

120/151=0,62670...

121/151=0,63221...

122/151=0,63552...

123/151=0,64103...

124/151=0,64434...

125/151=0,64765...

126/151=0,65316...

127/151=0,65647...

128/151=0,66200...

129/151=0,66531...

130/151=0,67062...

131/151=0,67413...

132/151=0,67744...

133/151=0,70275...

134/151=0,70626...

135/151=0,71157...

136/151=0,71510...

137/151=0,72041...

138/151=0,72372...

139/151=0,72723...

140/151=0,73254...

141/151=0,73605...

142/151=0,74136...

143/151=0,74467...

144/151=0,75020...

145/151=0,75351...

146/151=0,75702...

147/151=0,76233...

148/151=0,76564...

149/151=0,77115...

150/151=0,77446...

On remarque que le produit du nombre de périodes (30) et de leurs longueurs (5) est égal à 150 et donc au premier -1.