Liste des fractions de n/151 en base 2.

Il existe 10 périodes de 15 chiffres pour n/151 en base 2.

Pour toutes les fractions de n/151 en base 2, la période de 1/151 revient alors 15 fois (en orange)

1/151=0,000000011011001...

2/151=0,000000110110010...

3/151=0,000001010001011...

4/151=0,000001101100100...

5/151=0,000010000111101...

6/151=0,000010100010110...

7/151=0,000010111101111...

8/151=0,000011011001000...

9/151=0,000011110100001...

10/151=0,000100001111010...

11/151=0,000100101010011...

12/151=0,000101000101100...

13/151=0,000101100000101...

14/151=0,000101111011110...

15/151=0,000110010110111...

16/151=0,000110110010000...

17/151=0,000111001101001...

18/151=0,000111101000010...

19/151=0,001000000011011...

20/151=0,001000011110100...

21/151=0,001000111001101...

22/151=0,001001010100110...

23/151=0,001001101111111...

24/151=0,001010001011000...

25/151=0,001010100110001...

26/151=0,001011000001010...

27/151=0,001011011100011...

28/151=0,001011110111100...

29/151=0,001100010010101...

30/151=0,001100101101110...

31/151=0,001101001000111...

32/151=0,001101100100000...

33/151=0,001101111111001...

34/151=0,001110011010010...

35/151=0,001110110101011...

36/151=0,001111010000100...

37/151=0,001111101011101...

38/151=0,010000000110110...

39/151=0,010000100001111...

40/151=0,010000111101000...

41/151=0,010001011000001...

42/151=0,010001110011010...

43/151=0,010010001110011...

44/151=0,010010101001100...

45/151=0,010011000100101...

46/151=0,010011011111110...

47/151=0,010011111010111...

48/151=0,010100010110000...

49/151=0,010100110001001...

50/151=0,010101001100010...

51/151=0,010101100111011...

52/151=0,010110000010100...

53/151=0,010110011101101...

54/151=0,010110111000110...

55/151=0,010111010011111...

56/151=0,010111101111000...

57/151=0,011000001010001...

58/151=0,011000100101010...

59/151=0,011001000000011...

60/151=0,011001011011100...

61/151=0,011001110110101...

62/151=0,011010010001110...

63/151=0,011010101100111...

64/151=0,011011001000000...

65/151=0,011011100011001...

66/151=0,011011111110010...

67/151=0,011100011001011...

68/151=0,011100110100100...

69/151=0,011101001111101...

70/151=0,011101101010110...

71/151=0,011110000101111...

72/151=0,011110100001000...

73/151=0,011110111100001...

74/151=0,011111010111010...

75/151=0,011111110010011...

76/151=0,100000001101100...

77/151=0,100000101000101...

78/151=0,100001000011110...

79/151=0,100001011110111...

80/151=0,100001111010000...

81/151=0,100010010101001...

82/151=0,100010110000010...

83/151=0,100011001011011...

84/151=0,100011100110100...

85/151=0,100100000001101...

86/151=0,100100011100110...

87/151=0,100100110111111...

88/151=0,100101010011000...

89/151=0,100101101110001...

90/151=0,100110001001010...

91/151=0,100110100100011...

92/151=0,100110111111100...

93/151=0,100111011010101...

94/151=0,100111110101110...

95/151=0,101000010000111...

96/151=0,101000101100000...

97/151=0,101001000111001...

98/151=0,101001100010010...

99/151=0,101001111101011...

100/151=0,101010011000100...

101/151=0,101010110011101...

102/151=0,101011001110110...

103/151=0,101011101001111...

104/151=0,101100000101000...

105/151=0,101100100000001...

106/151=0,101100111011010...

107/151=0,101101010110011...

108/151=0,101101110001100...

109/151=0,101110001100101...

110/151=0,101110100111110...

111/151=0,101111000010111...

112/151=0,101111011110000...

113/151=0,101111111001001...

114/151=0,110000010100010...

115/151=0,110000101111011...

116/151=0,110001001010100...

117/151=0,110001100101101...

118/151=0,110010000000110...

119/151=0,110010011011111...

120/151=0,110010110111000...

121/151=0,110011010010001...

122/151=0,110011101101010...

123/151=0,110100001000011...

124/151=0,110100100011100...

125/151=0,110100111110101...

126/151=0,110101011001110...

127/151=0,110101110100111...

128/151=0,110110010000000...

129/151=0,110110101011001...

130/151=0,110111000110010...

131/151=0,110111100001011...

132/151=0,110111111100100...

133/151=0,111000010111101...

134/151=0,111000110010110...

135/151=0,111001001101111...

136/151=0,111001101001000...

137/151=0,111010000100001...

138/151=0,111010011111010...

139/151=0,111010111010011...

140/151=0,111011010101100...

141/151=0,111011110000101...

142/151=0,111100001011110...

143/151=0,111100100110111...

144/151=0,111101000010000...

145/151=0,111101011101001...

146/151=0,111101111000010...

147/151=0,111110010011011...

148/151=0,111110101110100...

149/151=0,111111001001101...

150/151=0,111111100100110...

On remarque que le produit du nombre de périodes (10) et de leurs longueurs (15) est égal à 150 et donc au premier -1.