Il existe 5 périodes de 50 chiffres pour n/251 en base 2.

Pour toutes les fractions de n/251 en base 2, la période de 1/251 revient alors 50 fois (en orange)

1/251=0,00000001000001010001100101111111011111010111001101...

2/251=0,00000010000010100011001011111110111110101110011010...

3/251=0,00000011000011110100110001111110011110000101100111...

4/251=0,00000100000101000110010111111101111101011100110100...

5/251=0,00000101000110010111111101111101011100110100000001...

6/251=0,00000110000111101001100011111100111100001011001110...

7/251=0,00000111001000111011001001111100011011100010011011...

8/251=0,00001000001010001100101111111011111010111001101000...

9/251=0,00001001001011011110010101111011011010010000110101...

10/251=0,00001010001100101111111011111010111001101000000010...

11/251=0,00001011001110000001100001111010011000111111001111...

12/251=0,00001100001111010011000111111001111000010110011100...

13/251=0,00001101010000100100101101111001010111101101101001...

14/251=0,00001110010001110110010011111000110111000100110110...

15/251=0,00001111010011000111111001111000010110011100000011...

16/251=0,00010000010100011001011111110111110101110011010000...

17/251=0,00010001010101101011000101110111010101001010011101...

18/251=0,00010010010110111100101011110110110100100001101010...

19/251=0,00010011011000001110010001110110010011111000110111...

20/251=0,00010100011001011111110111110101110011010000000100...

21/251=0,00010101011010110001011101110101010010100111010001...

22/251=0,00010110011100000011000011110100110001111110011110...

23/251=0,00010111011101010100101001110100010001010101101011...

24/251=0,00011000011110100110001111110011110000101100111000...

25/251=0,00011001011111110111110101110011010000000100000101...

26/251=0,00011010100001001001011011110010101111011011010010...

27/251=0,00011011100010011011000001110010001110110010011111...

28/251=0,00011100100011101100100111110001101110001001101100...

29/251=0,00011101100100111110001101110001001101100000111001...

30/251=0,00011110100110001111110011110000101100111000000110...

31/251=0,00011111100111100001011001110000001100001111010011...

32/251=0,00100000101000110010111111101111101011100110100000...

33/251=0,00100001101010000100100101101111001010111101101101...

34/251=0,00100010101011010110001011101110101010010100111010...

35/251=0,00100011101100100111110001101110001001101100000111...

36/251=0,00100100101101111001010111101101101001000011010100...

37/251=0,00100101101111001010111101101101001000011010100001...

38/251=0,00100110110000011100100011101100100111110001101110...

39/251=0,00100111110001101110001001101100000111001000111011...

40/251=0,00101000110010111111101111101011100110100000001000...

41/251=0,00101001110100010001010101101011000101110111010101...

42/251=0,00101010110101100010111011101010100101001110100010...

43/251=0,00101011110110110100100001101010000100100101101111...

44/251=0,00101100111000000110000111101001100011111100111100...

45/251=0,00101101111001010111101101101001000011010100001001...

46/251=0,00101110111010101001010011101000100010101011010110...

47/251=0,00101111111011111010111001101000000010000010100011...

48/251=0,00110000111101001100011111100111100001011001110000...

49/251=0,00110001111110011110000101100111000000110000111101...

50/251=0,00110010111111101111101011100110100000001000001010...

51/251=0,00110100000001000001010001100101111111011111010111...

52/251=0,00110101000010010010110111100101011110110110100100...

53/251=0,00110110000011100100011101100100111110001101110001...

54/251=0,00110111000100110110000011100100011101100100111110...

55/251=0,00111000000110000111101001100011111100111100001011...

56/251=0,00111001000111011001001111100011011100010011011000...

57/251=0,00111010001000101010110101100010111011101010100101...

58/251=0,00111011001001111100011011100010011011000001110010...

59/251=0,00111100001011001110000001100001111010011000111111...

60/251=0,00111101001100011111100111100001011001110000001100...

61/251=0,00111110001101110001001101100000111001000111011001...

62/251=0,00111111001111000010110011100000011000011110100110...

63/251=0,01000000010000010100011001011111110111110101110011...

64/251=0,01000001010001100101111111011111010111001101000000...

65/251=0,01000010010010110111100101011110110110100100001101...

66/251=0,01000011010100001001001011011110010101111011011010...

67/251=0,01000100010101011010110001011101110101010010100111...

68/251=0,01000101010110101100010111011101010100101001110100...

69/251=0,01000110010111111101111101011100110100000001000001...

70/251=0,01000111011001001111100011011100010011011000001110...

71/251=0,01001000011010100001001001011011110010101111011011...

72/251=0,01001001011011110010101111011011010010000110101000...

73/251=0,01001010011101000100010101011010110001011101110101...

74/251=0,01001011011110010101111011011010010000110101000010...

75/251=0,01001100011111100111100001011001110000001100001111...

76/251=0,01001101100000111001000111011001001111100011011100...

77/251=0,01001110100010001010101101011000101110111010101001...

78/251=0,01001111100011011100010011011000001110010001110110...

79/251=0,01010000100100101101111001010111101101101001000011...

80/251=0,01010001100101111111011111010111001101000000010000...

81/251=0,01010010100111010001000101010110101100010111011101...

82/251=0,01010011101000100010101011010110001011101110101010...

83/251=0,01010100101001110100010001010101101011000101110111...

84/251=0,01010101101011000101110111010101001010011101000100...

85/251=0,01010110101100010111011101010100101001110100010001...

86/251=0,01010111101101101001000011010100001001001011011110...

87/251=0,01011000101110111010101001010011101000100010101011...

88/251=0,01011001110000001100001111010011000111111001111000...

89/251=0,01011010110001011101110101010010100111010001000101...

90/251=0,01011011110010101111011011010010000110101000010010...

91/251=0,01011100110100000001000001010001100101111111011111...

92/251=0,01011101110101010010100111010001000101010110101100...

93/251=0,01011110110110100100001101010000100100101101111001...

94/251=0,01011111110111110101110011010000000100000101000110...

95/251=0,01100000111001000111011001001111100011011100010011...

96/251=0,01100001111010011000111111001111000010110011100000...

97/251=0,01100010111011101010100101001110100010001010101101...

98/251=0,01100011111100111100001011001110000001100001111010...

99/251=0,01100100111110001101110001001101100000111001000111...

100/251=0,01100101111111011111010111001101000000010000010100...

101/251=0,01100111000000110000111101001100011111100111100001...

102/251=0,01101000000010000010100011001011111110111110101110...

103/251=0,01101001000011010100001001001011011110010101111011...

104/251=0,01101010000100100101101111001010111101101101001000...

105/251=0,01101011000101110111010101001010011101000100010101...

106/251=0,01101100000111001000111011001001111100011011100010...

107/251=0,01101101001000011010100001001001011011110010101111...

108/251=0,01101110001001101100000111001000111011001001111100...

109/251=0,01101111001010111101101101001000011010100001001001...

110/251=0,01110000001100001111010011000111111001111000010110...

111/251=0,01110001001101100000111001000111011001001111100011...

112/251=0,01110010001110110010011111000110111000100110110000...

113/251=0,01110011010000000100000101000110010111111101111101...

114/251=0,01110100010001010101101011000101110111010101001010...

115/251=0,01110101010010100111010001000101010110101100010111...

116/251=0,01110110010011111000110111000100110110000011100100...

117/251=0,01110111010101001010011101000100010101011010110001...

118/251=0,01111000010110011100000011000011110100110001111110...

119/251=0,01111001010111101101101001000011010100001001001011...

120/251=0,01111010011000111111001111000010110011100000011000...

121/251=0,01111011011010010000110101000010010010110111100101...

122/251=0,01111100011011100010011011000001110010001110110010...

123/251=0,01111101011100110100000001000001010001100101111111...

124/251=0,01111110011110000101100111000000110000111101001100...

125/251=0,01111111011111010111001101000000010000010100011001...

126/251=0,10000000100000101000110010111111101111101011100110...

127/251=0,10000001100001111010011000111111001111000010110011...

128/251=0,10000010100011001011111110111110101110011010000000...

129/251=0,10000011100100011101100100111110001101110001001101...

130/251=0,10000100100101101111001010111101101101001000011010...

131/251=0,10000101100111000000110000111101001100011111100111...

132/251=0,10000110101000010010010110111100101011110110110100...

133/251=0,10000111101001100011111100111100001011001110000001...

134/251=0,10001000101010110101100010111011101010100101001110...

135/251=0,10001001101100000111001000111011001001111100011011...

136/251=0,10001010101101011000101110111010101001010011101000...

137/251=0,10001011101110101010010100111010001000101010110101...

138/251=0,10001100101111111011111010111001101000000010000010...

139/251=0,10001101110001001101100000111001000111011001001111...

140/251=0,10001110110010011111000110111000100110110000011100...

141/251=0,10001111110011110000101100111000000110000111101001...

142/251=0,10010000110101000010010010110111100101011110110110...

143/251=0,10010001110110010011111000110111000100110110000011...

144/251=0,10010010110111100101011110110110100100001101010000...

145/251=0,10010011111000110111000100110110000011100100011101...

146/251=0,10010100111010001000101010110101100010111011101010...

147/251=0,10010101111011011010010000110101000010010010110111...

148/251=0,10010110111100101011110110110100100001101010000100...

149/251=0,10010111111101111101011100110100000001000001010001...

150/251=0,10011000111111001111000010110011100000011000011110...

151/251=0,10011010000000100000101000110010111111101111101011...

152/251=0,10011011000001110010001110110010011111000110111000...

153/251=0,10011100000011000011110100110001111110011110000101...

154/251=0,10011101000100010101011010110001011101110101010010...

155/251=0,10011110000101100111000000110000111101001100011111...

156/251=0,10011111000110111000100110110000011100100011101100...

157/251=0,10100000001000001010001100101111111011111010111001...

158/251=0,10100001001001011011110010101111011011010010000110...

159/251=0,10100010001010101101011000101110111010101001010011...

160/251=0,10100011001011111110111110101110011010000000100000...

161/251=0,10100100001101010000100100101101111001010111101101...

162/251=0,10100101001110100010001010101101011000101110111010...

163/251=0,10100110001111110011110000101100111000000110000111...

164/251=0,10100111010001000101010110101100010111011101010100...

165/251=0,10101000010010010110111100101011110110110100100001...

166/251=0,10101001010011101000100010101011010110001011101110...

167/251=0,10101010010100111010001000101010110101100010111011...

168/251=0,10101011010110001011101110101010010100111010001000...

169/251=0,10101100010111011101010100101001110100010001010101...

170/251=0,10101101011000101110111010101001010011101000100010...

171/251=0,10101110011010000000100000101000110010111111101111...

172/251=0,10101111011011010010000110101000010010010110111100...

173/251=0,10110000011100100011101100100111110001101110001001...

174/251=0,10110001011101110101010010100111010001000101010110...

175/251=0,10110010011111000110111000100110110000011100100011...

176/251=0,10110011100000011000011110100110001111110011110000...

177/251=0,10110100100001101010000100100101101111001010111101...

178/251=0,10110101100010111011101010100101001110100010001010...

179/251=0,10110110100100001101010000100100101101111001010111...

180/251=0,10110111100101011110110110100100001101010000100100...

181/251=0,10111000100110110000011100100011101100100111110001...

182/251=0,10111001101000000010000010100011001011111110111110...

183/251=0,10111010101001010011101000100010101011010110001011...

184/251=0,10111011101010100101001110100010001010101101011000...

185/251=0,10111100101011110110110100100001101010000100100101...

186/251=0,10111101101101001000011010100001001001011011110010...

187/251=0,10111110101110011010000000100000101000110010111111...

188/251=0,10111111101111101011100110100000001000001010001100...

189/251=0,11000000110000111101001100011111100111100001011001...

190/251=0,11000001110010001110110010011111000110111000100110...

191/251=0,11000010110011100000011000011110100110001111110011...

192/251=0,11000011110100110001111110011110000101100111000000...

193/251=0,11000100110110000011100100011101100100111110001101...

194/251=0,11000101110111010101001010011101000100010101011010...

195/251=0,11000110111000100110110000011100100011101100100111...

196/251=0,11000111111001111000010110011100000011000011110100...

197/251=0,11001000111011001001111100011011100010011011000001...

198/251=0,11001001111100011011100010011011000001110010001110...

199/251=0,11001010111101101101001000011010100001001001011011...

200/251=0,11001011111110111110101110011010000000100000101000...

201/251=0,11001101000000010000010100011001011111110111110101...

202/251=0,11001110000001100001111010011000111111001111000010...

203/251=0,11001111000010110011100000011000011110100110001111...

204/251=0,11010000000100000101000110010111111101111101011100...

205/251=0,11010001000101010110101100010111011101010100101001...

206/251=0,11010010000110101000010010010110111100101011110110...

207/251=0,11010011000111111001111000010110011100000011000011...

208/251=0,11010100001001001011011110010101111011011010010000...

209/251=0,11010101001010011101000100010101011010110001011101...

210/251=0,11010110001011101110101010010100111010001000101010...

211/251=0,11010111001101000000010000010100011001011111110111...

212/251=0,11011000001110010001110110010011111000110111000100...

213/251=0,11011001001111100011011100010011011000001110010001...

214/251=0,11011010010000110101000010010010110111100101011110...

215/251=0,11011011010010000110101000010010010110111100101011...

216/251=0,11011100010011011000001110010001110110010011111000...

217/251=0,11011101010100101001110100010001010101101011000101...

218/251=0,11011110010101111011011010010000110101000010010010...

219/251=0,11011111010111001101000000010000010100011001011111...

220/251=0,11100000011000011110100110001111110011110000101100...

221/251=0,11100001011001110000001100001111010011000111111001...

222/251=0,11100010011011000001110010001110110010011111000110...

223/251=0,11100011011100010011011000001110010001110110010011...

224/251=0,11100100011101100100111110001101110001001101100000...

225/251=0,11100101011110110110100100001101010000100100101101...

226/251=0,11100110100000001000001010001100101111111011111010...

227/251=0,11100111100001011001110000001100001111010011000111...

228/251=0,11101000100010101011010110001011101110101010010100...

229/251=0,11101001100011111100111100001011001110000001100001...

230/251=0,11101010100101001110100010001010101101011000101110...

231/251=0,11101011100110100000001000001010001100101111111011...

232/251=0,11101100100111110001101110001001101100000111001000...

233/251=0,11101101101001000011010100001001001011011110010101...

234/251=0,11101110101010010100111010001000101010110101100010...

235/251=0,11101111101011100110100000001000001010001100101111...

236/251=0,11110000101100111000000110000111101001100011111100...

237/251=0,11110001101110001001101100000111001000111011001001...

238/251=0,11110010101111011011010010000110101000010010010110...

239/251=0,11110011110000101100111000000110000111101001100011...

240/251=0,11110100110001111110011110000101100111000000110000...

241/251=0,11110101110011010000000100000101000110010111111101...

242/251=0,11110110110100100001101010000100100101101111001010...

243/251=0,11110111110101110011010000000100000101000110010111...

244/251=0,11111000110111000100110110000011100100011101100100...

245/251=0,11111001111000010110011100000011000011110100110001...

246/251=0,11111010111001101000000010000010100011001011111110...

247/251=0,11111011111010111001101000000010000010100011001011...

248/251=0,11111100111100001011001110000001100001111010011000...

249/251=0,11111101111101011100110100000001000001010001100101...

250/251=0,11111110111110101110011010000000100000101000110010...

On remarque que le produit du nombre de périodes (5) et de leurs longueurs (50) est égal à 250 et donc au premier -1.