Liste des fractions de n/157 en base 2.

Il existe 3 périodes de 52 chiffres pour n/157 en base 2.

Pour toutes les fractions de n/157 en base 2, la période de 1/157 revient alors 52 fois (en orange)

1/157=0,0000000110100001011011010011111110010111101001001011...

2/157=0,0000001101000010110110100111111100101111010010010110...

3/157=0,0000010011100100010001111011111011000110111011100001...

4/157=0,0000011010000101101101001111111001011110100100101100...

5/157=0,0000100000100111001000100011110111110110001101110111...

6/157=0,0000100111001000100011110111110110001101110111000010...

7/157=0,0000101101101001111111001011110100100101100000001101...

8/157=0,0000110100001011011010011111110010111101001001011000...

9/157=0,0000111010101100110101110011110001010100110010100011...

10/157=0,0001000001001110010001000111101111101100011011101110...

11/157=0,0001000111101111101100011011101110000100000100111001...

12/157=0,0001001110010001000111101111101100011011101110000100...

13/157=0,0001010100110010100011000011101010110011010111001111...

14/157=0,0001011011010011111110010111101001001011000000011010...

15/157=0,0001100001110101011001101011100111100010101001100101...

16/157=0,0001101000010110110100111111100101111010010010110000...

17/157=0,0001101110111000010000010011100100010001111011111011...

18/157=0,0001110101011001101011100111100010101001100101000110...

19/157=0,0001111011111011000110111011100001000001001110010001...

20/157=0,0010000010011100100010001111011111011000110111011100...

21/157=0,0010001000111101111101100011011101110000100000100111...

22/157=0,0010001111011111011000110111011100001000001001110010...

23/157=0,0010010110000000110100001011011010011111110010111101...

24/157=0,0010011100100010001111011111011000110111011100001000...

25/157=0,0010100011000011101010110011010111001111000101010011...

26/157=0,0010101001100101000110000111010101100110101110011110...

27/157=0,0010110000000110100001011011010011111110010111101001...

28/157=0,0010110110100111111100101111010010010110000000110100...

29/157=0,0010111101001001011000000011010000101101101001111111...

30/157=0,0011000011101010110011010111001111000101010011001010...

31/157=0,0011001010001100001110101011001101011100111100010101...

32/157=0,0011010000101101101001111111001011110100100101100000...

33/157=0,0011010111001111000101010011001010001100001110101011...

34/157=0,0011011101110000100000100111001000100011110111110110...

35/157=0,0011100100010001111011111011000110111011100001000001...

36/157=0,0011101010110011010111001111000101010011001010001100...

37/157=0,0011110001010100110010100011000011101010110011010111...

38/157=0,0011110111110110001101110111000010000010011100100010...

39/157=0,0011111110010111101001001011000000011010000101101101...

40/157=0,0100000100111001000100011110111110110001101110111000...

41/157=0,0100001011011010011111110010111101001001011000000011...

42/157=0,0100010001111011111011000110111011100001000001001110...

43/157=0,0100011000011101010110011010111001111000101010011001...

44/157=0,0100011110111110110001101110111000010000010011100100...

45/157=0,0100100101100000001101000010110110100111111100101111...

46/157=0,0100101100000001101000010110110100111111100101111010...

47/157=0,0100110010100011000011101010110011010111001111000101...

48/157=0,0100111001000100011110111110110001101110111000010000...

49/157=0,0100111111100101111010010010110000000110100001011011...

50/157=0,0101000110000111010101100110101110011110001010100110...

51/157=0,0101001100101000110000111010101100110101110011110001...

52/157=0,0101010011001010001100001110101011001101011100111100...

53/157=0,0101011001101011100111100010101001100101000110000111...

54/157=0,0101100000001101000010110110100111111100101111010010...

55/157=0,0101100110101110011110001010100110010100011000011101...

56/157=0,0101101101001111111001011110100100101100000001101000...

57/157=0,0101110011110001010100110010100011000011101010110011...

58/157=0,0101111010010010110000000110100001011011010011111110...

59/157=0,0110000000110100001011011010011111110010111101001001...

60/157=0,0110000111010101100110101110011110001010100110010100...

61/157=0,0110001101110111000010000010011100100010001111011111...

62/157=0,0110010100011000011101010110011010111001111000101010...

63/157=0,0110011010111001111000101010011001010001100001110101...

64/157=0,0110100001011011010011111110010111101001001011000000...

65/157=0,0110100111111100101111010010010110000000110100001011...

66/157=0,0110101110011110001010100110010100011000011101010110...

67/157=0,0110110100111111100101111010010010110000000110100001...

68/157=0,0110111011100001000001001110010001000111101111101100...

69/157=0,0111000010000010011100100010001111011111011000110111...

70/157=0,0111001000100011110111110110001101110111000010000010...

71/157=0,0111001111000101010011001010001100001110101011001101...

72/157=0,0111010101100110101110011110001010100110010100011000...

73/157=0,0111011100001000001001110010001000111101111101100011...

74/157=0,0111100010101001100101000110000111010101100110101110...

75/157=0,0111101001001011000000011010000101101101001111111001...

76/157=0,0111101111101100011011101110000100000100111001000100...

77/157=0,0111110110001101110111000010000010011100100010001111...

78/157=0,0111111100101111010010010110000000110100001011011010...

79/157=0,1000000011010000101101101001111111001011110100100101...

80/157=0,1000001001110010001000111101111101100011011101110000...

81/157=0,1000010000010011100100010001111011111011000110111011...

82/157=0,1000010110110100111111100101111010010010110000000110...

83/157=0,1000011101010110011010111001111000101010011001010001...

84/157=0,1000100011110111110110001101110111000010000010011100...

85/157=0,1000101010011001010001100001110101011001101011100111...

86/157=0,1000110000111010101100110101110011110001010100110010...

87/157=0,1000110111011100001000001001110010001000111101111101...

88/157=0,1000111101111101100011011101110000100000100111001000...

89/157=0,1001000100011110111110110001101110111000010000010011...

90/157=0,1001001011000000011010000101101101001111111001011110...

91/157=0,1001010001100001110101011001101011100111100010101001...

92/157=0,1001011000000011010000101101101001111111001011110100...

93/157=0,1001011110100100101100000001101000010110110100111111...

94/157=0,1001100101000110000111010101100110101110011110001010...

95/157=0,1001101011100111100010101001100101000110000111010101...

96/157=0,1001110010001000111101111101100011011101110000100000...

97/157=0,1001111000101010011001010001100001110101011001101011...

98/157=0,1001111111001011110100100101100000001101000010110110...

99/157=0,1010000101101101001111111001011110100100101100000001...

100/157=0,1010001100001110101011001101011100111100010101001100...

101/157=0,1010010010110000000110100001011011010011111110010111...

102/157=0,1010011001010001100001110101011001101011100111100010...

103/157=0,1010011111110010111101001001011000000011010000101101...

104/157=0,1010100110010100011000011101010110011010111001111000...

105/157=0,1010101100110101110011110001010100110010100011000011...

106/157=0,1010110011010111001111000101010011001010001100001110...

107/157=0,1010111001111000101010011001010001100001110101011001...

108/157=0,1011000000011010000101101101001111111001011110100100...

109/157=0,1011000110111011100001000001001110010001000111101111...

110/157=0,1011001101011100111100010101001100101000110000111010...

111/157=0,1011010011111110010111101001001011000000011010000101...

112/157=0,1011011010011111110010111101001001011000000011010000...

113/157=0,1011100001000001001110010001000111101111101100011011...

114/157=0,1011100111100010101001100101000110000111010101100110...

115/157=0,1011101110000100000100111001000100011110111110110001...

116/157=0,1011110100100101100000001101000010110110100111111100...

117/157=0,1011111011000110111011100001000001001110010001000111...

118/157=0,1100000001101000010110110100111111100101111010010010...

119/157=0,1100001000001001110010001000111101111101100011011101...

120/157=0,1100001110101011001101011100111100010101001100101000...

121/157=0,1100010101001100101000110000111010101100110101110011...

122/157=0,1100011011101110000100000100111001000100011110111110...

123/157=0,1100100010001111011111011000110111011100001000001001...

124/157=0,1100101000110000111010101100110101110011110001010100...

125/157=0,1100101111010010010110000000110100001011011010011111...

126/157=0,1100110101110011110001010100110010100011000011101010...

127/157=0,1100111100010101001100101000110000111010101100110101...

128/157=0,1101000010110110100111111100101111010010010110000000...

129/157=0,1101001001011000000011010000101101101001111111001011...

130/157=0,1101001111111001011110100100101100000001101000010110...

131/157=0,1101010110011010111001111000101010011001010001100001...

132/157=0,1101011100111100010101001100101000110000111010101100...

133/157=0,1101100011011101110000100000100111001000100011110111...

134/157=0,1101101001111111001011110100100101100000001101000010...

135/157=0,1101110000100000100111001000100011110111110110001101...

136/157=0,1101110111000010000010011100100010001111011111011000...

137/157=0,1101111101100011011101110000100000100111001000100011...

138/157=0,1110000100000100111001000100011110111110110001101110...

139/157=0,1110001010100110010100011000011101010110011010111001...

140/157=0,1110010001000111101111101100011011101110000100000100...

141/157=0,1110010111101001001011000000011010000101101101001111...

142/157=0,1110011110001010100110010100011000011101010110011010...

143/157=0,1110100100101100000001101000010110110100111111100101...

144/157=0,1110101011001101011100111100010101001100101000110000...

145/157=0,1110110001101110111000010000010011100100010001111011...

146/157=0,1110111000010000010011100100010001111011111011000110...

147/157=0,1110111110110001101110111000010000010011100100010001...

148/157=0,1111000101010011001010001100001110101011001101011100...

149/157=0,1111001011110100100101100000001101000010110110100111...

150/157=0,1111010010010110000000110100001011011010011111110010...

151/157=0,1111011000110111011100001000001001110010001000111101...

152/157=0,1111011111011000110111011100001000001001110010001000...

153/157=0,1111100101111010010010110000000110100001011011010011...

154/157=0,1111101100011011101110000100000100111001000100011110...

155/157=0,1111110010111101001001011000000011010000101101101001...

156/157=0,1111111001011110100100101100000001101000010110110100...

On remarque que le produit du nombre de périodes (3) et de leurs longueurs (52) est égal à 156 et donc au premier -1.