Il existe 8 périodes de 29 chiffres pour n/233 en base 2.

Pour toutes les fractions de n/233 en base 2, la période de 1/233 revient alors 29 fois (en orange)

1/233=0,00000001000110010100010100111...

2/233=0,00000010001100101000101001110...

3/233=0,00000011010010111100111110101...

4/233=0,00000100011001010001010011100...

5/233=0,00000101011111100101101000011...

6/233=0,00000110100101111001111101010...

7/233=0,00000111101100001110010010001...

8/233=0,00001000110010100010100111000...

9/233=0,00001001111000110110111011111...

10/233=0,00001010111111001011010000110...

11/233=0,00001100000101011111100101101...

12/233=0,00001101001011110011111010100...

13/233=0,00001110010010001000001111011...

14/233=0,00001111011000011100100100010...

15/233=0,00010000011110110000111001001...

16/233=0,00010001100101000101001110000...

17/233=0,00010010101011011001100010111...

18/233=0,00010011110001101101110111110...

19/233=0,00010100111000000010001100101...

20/233=0,00010101111110010110100001100...

21/233=0,00010111000100101010110110011...

22/233=0,00011000001010111111001011010...

23/233=0,00011001010001010011100000001...

24/233=0,00011010010111100111110101000...

25/233=0,00011011011101111100001001111...

26/233=0,00011100100100010000011110110...

27/233=0,00011101101010100100110011101...

28/233=0,00011110110000111001001000100...

29/233=0,00011111110111001101011101011...

30/233=0,00100000111101100001110010010...

31/233=0,00100010000011110110000111001...

32/233=0,00100011001010001010011100000...

33/233=0,00100100010000011110110000111...

34/233=0,00100101010110110011000101110...

35/233=0,00100110011101000111011010101...

36/233=0,00100111100011011011101111100...

37/233=0,00101000101001110000000100011...

38/233=0,00101001110000000100011001010...

39/233=0,00101010110110011000101110001...

40/233=0,00101011111100101101000011000...

41/233=0,00101101000011000001010111111...

42/233=0,00101110001001010101101100110...

43/233=0,00101111001111101010000001101...

44/233=0,00110000010101111110010110100...

45/233=0,00110001011100010010101011011...

46/233=0,00110010100010100111000000010...

47/233=0,00110011101000111011010101001...

48/233=0,00110100101111001111101010000...

49/233=0,00110101110101100011111110111...

50/233=0,00110110111011111000010011110...

51/233=0,00111000000010001100101000101...

52/233=0,00111001001000100000111101100...

53/233=0,00111010001110110101010010011...

54/233=0,00111011010101001001100111010...

55/233=0,00111100011011011101111100001...

56/233=0,00111101100001110010010001000...

57/233=0,00111110101000000110100101111...

58/233=0,00111111101110011010111010110...

59/233=0,01000000110100101111001111101...

60/233=0,01000001111011000011100100100...

61/233=0,01000011000001010111111001011...

62/233=0,01000100000111101100001110010...

63/233=0,01000101001110000000100011001...

64/233=0,01000110010100010100111000000...

65/233=0,01000111011010101001001100111...

66/233=0,01001000100000111101100001110...

67/233=0,01001001100111010001110110101...

68/233=0,01001010101101100110001011100...

69/233=0,01001011110011111010100000011...

70/233=0,01001100111010001110110101010...

71/233=0,01001110000000100011001010001...

72/233=0,01001111000110110111011111000...

73/233=0,01010000001101001011110011111...

74/233=0,01010001010011100000001000110...

75/233=0,01010010011001110100011101101...

76/233=0,01010011100000001000110010100...

77/233=0,01010100100110011101000111011...

78/233=0,01010101101100110001011100010...

79/233=0,01010110110011000101110001001...

80/233=0,01010111111001011010000110000...

81/233=0,01011000111111101110011010111...

82/233=0,01011010000110000010101111110...

83/233=0,01011011001100010111000100101...

84/233=0,01011100010010101011011001100...

85/233=0,01011101011000111111101110011...

86/233=0,01011110011111010100000011010...

87/233=0,01011111100101101000011000001...

88/233=0,01100000101011111100101101000...

89/233=0,01100001110010010001000001111...

90/233=0,01100010111000100101010110110...

91/233=0,01100011111110111001101011101...

92/233=0,01100101000101001110000000100...

93/233=0,01100110001011100010010101011...

94/233=0,01100111010001110110101010010...

95/233=0,01101000011000001010111111001...

96/233=0,01101001011110011111010100000...

97/233=0,01101010100100110011101000111...

98/233=0,01101011101011000111111101110...

99/233=0,01101100110001011100010010101...

100/233=0,01101101110111110000100111100...

101/233=0,01101110111110000100111100011...

102/233=0,01110000000100011001010001010...

103/233=0,01110001001010101101100110001...

104/233=0,01110010010001000001111011000...

105/233=0,01110011010111010110001111111...

106/233=0,01110100011101101010100100110...

107/233=0,01110101100011111110111001101...

108/233=0,01110110101010010011001110100...

109/233=0,01110111110000100111100011011...

110/233=0,01111000110110111011111000010...

111/233=0,01111001111101010000001101001...

112/233=0,01111011000011100100100010000...

113/233=0,01111100001001111000110110111...

114/233=0,01111101010000001101001011110...

115/233=0,01111110010110100001100000101...

116/233=0,01111111011100110101110101100...

117/233=0,10000000100011001010001010011...

118/233=0,10000001101001011110011111010...

119/233=0,10000010101111110010110100001...

120/233=0,10000011110110000111001001000...

121/233=0,10000100111100011011011101111...

122/233=0,10000110000010101111110010110...

123/233=0,10000111001001000100000111101...

124/233=0,10001000001111011000011100100...

125/233=0,10001001010101101100110001011...

126/233=0,10001010011100000001000110010...

127/233=0,10001011100010010101011011001...

128/233=0,10001100101000101001110000000...

129/233=0,10001101101110111110000100111...

130/233=0,10001110110101010010011001110...

131/233=0,10001111111011100110101110101...

132/233=0,10010001000001111011000011100...

133/233=0,10010010001000001111011000011...

134/233=0,10010011001110100011101101010...

135/233=0,10010100010100111000000010001...

136/233=0,10010101011011001100010111000...

137/233=0,10010110100001100000101011111...

138/233=0,10010111100111110101000000110...

139/233=0,10011000101110001001010101101...

140/233=0,10011001110100011101101010100...

141/233=0,10011010111010110001111111011...

142/233=0,10011100000001000110010100010...

143/233=0,10011101000111011010101001001...

144/233=0,10011110001101101110111110000...

145/233=0,10011111010100000011010010111...

146/233=0,10100000011010010111100111110...

147/233=0,10100001100000101011111100101...

148/233=0,10100010100111000000010001100...

149/233=0,10100011101101010100100110011...

150/233=0,10100100110011101000111011010...

151/233=0,10100101111001111101010000001...

152/233=0,10100111000000010001100101000...

153/233=0,10101000000110100101111001111...

154/233=0,10101001001100111010001110110...

155/233=0,10101010010011001110100011101...

156/233=0,10101011011001100010111000100...

157/233=0,10101100011111110111001101011...

158/233=0,10101101100110001011100010010...

159/233=0,10101110101100011111110111001...

160/233=0,10101111110010110100001100000...

161/233=0,10110000111001001000100000111...

162/233=0,10110001111111011100110101110...

163/233=0,10110011000101110001001010101...

164/233=0,10110100001100000101011111100...

165/233=0,10110101010010011001110100011...

166/233=0,10110110011000101110001001010...

167/233=0,10110111011111000010011110001...

168/233=0,10111000100101010110110011000...

169/233=0,10111001101011101011000111111...

170/233=0,10111010110001111111011100110...

171/233=0,10111011111000010011110001101...

172/233=0,10111100111110101000000110100...

173/233=0,10111110000100111100011011011...

174/233=0,10111111001011010000110000010...

175/233=0,11000000010001100101000101001...

176/233=0,11000001010111111001011010000...

177/233=0,11000010011110001101101110111...

178/233=0,11000011100100100010000011110...

179/233=0,11000100101010110110011000101...

180/233=0,11000101110001001010101101100...

181/233=0,11000110110111011111000010011...

182/233=0,11000111111101110011010111010...

183/233=0,11001001000100000111101100001...

184/233=0,11001010001010011100000001000...

185/233=0,11001011010000110000010101111...

186/233=0,11001100010111000100101010110...

187/233=0,11001101011101011000111111101...

188/233=0,11001110100011101101010100100...

189/233=0,11001111101010000001101001011...

190/233=0,11010000110000010101111110010...

191/233=0,11010001110110101010010011001...

192/233=0,11010010111100111110101000000...

193/233=0,11010100000011010010111100111...

194/233=0,11010101001001100111010001110...

195/233=0,11010110001111111011100110101...

196/233=0,11010111010110001111111011100...

197/233=0,11011000011100100100010000011...

198/233=0,11011001100010111000100101010...

199/233=0,11011010101001001100111010001...

200/233=0,11011011101111100001001111000...

201/233=0,11011100110101110101100011111...

202/233=0,11011101111100001001111000110...

203/233=0,11011111000010011110001101101...

204/233=0,11100000001000110010100010100...

205/233=0,11100001001111000110110111011...

206/233=0,11100010010101011011001100010...

207/233=0,11100011011011101111100001001...

208/233=0,11100100100010000011110110000...

209/233=0,11100101101000011000001010111...

210/233=0,11100110101110101100011111110...

211/233=0,11100111110101000000110100101...

212/233=0,11101000111011010101001001100...

213/233=0,11101010000001101001011110011...

214/233=0,11101011000111111101110011010...

215/233=0,11101100001110010010001000001...

216/233=0,11101101010100100110011101000...

217/233=0,11101110011010111010110001111...

218/233=0,11101111100001001111000110110...

219/233=0,11110000100111100011011011101...

220/233=0,11110001101101110111110000100...

221/233=0,11110010110100001100000101011...

222/233=0,11110011111010100000011010010...

223/233=0,11110101000000110100101111001...

224/233=0,11110110000111001001000100000...

225/233=0,11110111001101011101011000111...

226/233=0,11111000010011110001101101110...

227/233=0,11111001011010000110000010101...

228/233=0,11111010100000011010010111100...

229/233=0,11111011100110101110101100011...

230/233=0,11111100101101000011000001010...

231/233=0,11111101110011010111010110001...

232/233=0,11111110111001101011101011000...

On remarque que le produit du nombre de périodes (8) et de leurs longueurs (29) est égal à 232 et donc au premier -1.