Liste des fractions de n/251 en base 5.

Il existe 10 périodes de 25 chiffres pour n/251 en base 5.

Pour toutes les fractions de n/251 en base 5, la période de 1/251 revient alors 25 fois (en orange)

1/251=0,0002221111414012441001444...

2/251=0,0004442223333030432003443...

3/251=0,0012213340302043423010442...

4/251=0,0014440002221111414012441...

5/251=0,0022211114140124410014440...

6/251=0,0024432231104142401021434...

7/251=0,0032203343023210342023433...

8/251=0,0034430004442223333030432...

9/251=0,0042201121411241324032431...

10/251=0,0044422233330304320034430...

11/251=0,0102143400244322311041424...

12/251=0,0104420012213340302043423...

13/251=0,0112141124132403243100422...

14/251=0,0114412241101421234102421...

15/251=0,0122133403020434230104420...

16/251=0,0124410014440002221111414...

17/251=0,0132131131404020212113413...

18/251=0,0134402243323033203120412...

19/251=0,0142123410242101144122411...

20/251=0,0144400022211114140124410...

21/251=0,0202121134130132131131404...

22/251=0,0204342301044200122133403...

23/251=0,0212113413013213113140402...

24/251=0,0214340024432231104142401...

25/251=0,0222111141401244100144400...

26/251=0,0224332303320312041201344...

27/251=0,0232103420234330032203343...

28/251=0,0234330032203343023210342...

29/251=0,0242101144122411014212341...

30/251=0,0244322311041424010214340...

31/251=0,0302043423010442001221334...

32/251=0,0304320034430004442223333...

33/251=0,0312041201344022433230332...

34/251=0,0314312313313040424232331...

35/251=0,0322033430232103420234330...

36/251=0,0324310042201121411241324...

37/251=0,0332031204120134402243323...

38/251=0,0334302321034202343300322...

39/251=0,0342023433003220334302321...

40/251=0,0344300044422233330304320...

41/251=0,0402021211341301321311314...

42/251=0,0404242323310314312313313...

43/251=0,0412013440224332303320312...

44/251=0,0414240102143400244322311...

45/251=0,0422011214112413240324310...

46/251=0,0424232331031431231331304...

47/251=0,0432003443000444222333303...

48/251=0,0434230104420012213340302...

49/251=0,0442001221334030204342301...

50/251=0,0444222333303043200344300...

51/251=0,1001444000222111141401244...

52/251=0,1004220112141124132403243...

53/251=0,1011441224110142123410242...

54/251=0,1014212341024210114412241...

55/251=0,1021434002443223110414240...

56/251=0,1024210114412241101421234...

57/251=0,1031431231331304042423233...

58/251=0,1034202343300322033430232...

59/251=0,1041424010214340024432231...

60/251=0,1044200122133403020434230...

61/251=0,1101421234102421011441224...

62/251=0,1104142401021434002443223...

63/251=0,1111414012441001444000222...

64/251=0,1114140124410014440002221...

65/251=0,1121411241324032431004220...

66/251=0,1124132403243100422011214...

67/251=0,1131404020212113413013213...

68/251=0,1134130132131131404020212...

69/251=0,1141401244100144400022211...

70/251=0,1144122411014212341024210...

71/251=0,1201344022433230332031204...

72/251=0,1204120134402243323033203...

73/251=0,1211341301321311314040202...

74/251=0,1214112413240324310042201...

75/251=0,1221334030204342301044200...

76/251=0,1224110142123410242101144...

77/251=0,1231331304042423233103143...

78/251=0,1234102421011441224110142...

79/251=0,1241324032431004220112141...

80/251=0,1244100144400022211114140...

81/251=0,1301321311314040202121134...

82/251=0,1304042423233103143123133...

83/251=0,1311314040202121134130132...

84/251=0,1314040202121134130132131...

85/251=0,1321311314040202121134130...

86/251=0,1324032431004220112141124...

87/251=0,1331304042423233103143123...

88/251=0,1334030204342301044200122...

89/251=0,1341301321311314040202121...

90/251=0,1344022433230332031204120...

91/251=0,1401244100144400022211114...

92/251=0,1404020212113413013213113...

93/251=0,1411241324032431004220112...

94/251=0,1414012441001444000222111...

95/251=0,1421234102421011441224110...

96/251=0,1424010214340024432231104...

97/251=0,1431231331304042423233103...

98/251=0,1434002443223110414240102...

99/251=0,1441224110142123410242101...

100/251=0,1444000222111141401244100...

101/251=0,2001221334030204342301044...

102/251=0,2003443000444222333303043...

103/251=0,2011214112413240324310042...

104/251=0,2013440224332303320312041...

105/251=0,2021211341301321311314040...

106/251=0,2023433003220334302321034...

107/251=0,2031204120134402243323033...

108/251=0,2033430232103420234330032...

109/251=0,2041201344022433230332031...

110/251=0,2043423010442001221334030...

111/251=0,2101144122411014212341024...

112/251=0,2103420234330032203343023...

113/251=0,2111141401244100144400022...

114/251=0,2113413013213113140402021...

115/251=0,2121134130132131131404020...

116/251=0,2123410242101144122411014...

117/251=0,2131131404020212113413013...

118/251=0,2133403020434230104420012...

119/251=0,2141124132403243100422011...

120/251=0,2143400244322311041424010...

121/251=0,2201121411241324032431004...

122/251=0,2203343023210342023433003...

123/251=0,2211114140124410014440002...

124/251=0,2213340302043423010442001...

125/251=0,2221111414012441001444000...

126/251=0,2223333030432003443000444...

127/251=0,2231104142401021434002443...

128/251=0,2233330304320034430004442...

129/251=0,2241101421234102421011441...

130/251=0,2243323033203120412013440...

131/251=0,2301044200122133403020434...

132/251=0,2303320312041201344022433...

133/251=0,2311041424010214340024432...

134/251=0,2313313040424232331031431...

135/251=0,2321034202343300322033430...

136/251=0,2323310314312313313040424...

137/251=0,2331031431231331304042423...

138/251=0,2333303043200344300044422...

139/251=0,2341024210114412241101421...

140/251=0,2343300322033430232103420...

141/251=0,2401021434002443223110414...

142/251=0,2403243100422011214112413...

143/251=0,2411014212341024210114412...

144/251=0,2413240324310042201121411...

145/251=0,2421011441224110142123410...

146/251=0,2423233103143123133130404...

147/251=0,2431004220112141124132403...

148/251=0,2433230332031204120134402...

149/251=0,2441001444000222111141401...

150/251=0,2443223110414240102143400...

151/251=0,3000444222333303043200344...

152/251=0,3003220334302321034202343...

153/251=0,3010442001221334030204342...

154/251=0,3013213113140402021211341...

155/251=0,3020434230104420012213340...

156/251=0,3023210342023433003220334...

157/251=0,3030432003443000444222333...

158/251=0,3033203120412013440224332...

159/251=0,3040424232331031431231331...

160/251=0,3043200344300044422233330...

161/251=0,3100422011214112413240324...

162/251=0,3103143123133130404242323...

163/251=0,3110414240102143400244322...

164/251=0,3113140402021211341301321...

165/251=0,3120412013440224332303320...

166/251=0,3123133130404242323310314...

167/251=0,3130404242323310314312313...

168/251=0,3133130404242323310314312...

169/251=0,3140402021211341301321311...

170/251=0,3143123133130404242323310...

171/251=0,3200344300044422233330304...

172/251=0,3203120412013440224332303...

173/251=0,3210342023433003220334302...

174/251=0,3213113140402021211341301...

175/251=0,3220334302321034202343300...

176/251=0,3223110414240102143400244...

177/251=0,3230332031204120134402243...

178/251=0,3233103143123133130404242...

179/251=0,3240324310042201121411241...

180/251=0,3243100422011214112413240...

181/251=0,3300322033430232103420234...

182/251=0,3303043200344300044422233...

183/251=0,3310314312313313040424232...

184/251=0,3313040424232331031431231...

185/251=0,3320312041201344022433230...

186/251=0,3323033203120412013440224...

187/251=0,3330304320034430004442223...

188/251=0,3333030432003443000444222...

189/251=0,3340302043423010442001221...

190/251=0,3343023210342023433003220...

191/251=0,3400244322311041424010214...

192/251=0,3403020434230104420012213...

193/251=0,3410242101144122411014212...

194/251=0,3413013213113140402021211...

195/251=0,3420234330032203343023210...

196/251=0,3423010442001221334030204...

197/251=0,3430232103420234330032203...

198/251=0,3433003220334302321034202...

199/251=0,3440224332303320312041201...

200/251=0,3443000444222333303043200...

201/251=0,4000222111141401244100144...

202/251=0,4002443223110414240102143...

203/251=0,4010214340024432231104142...

204/251=0,4012441001444000222111141...

205/251=0,4020212113413013213113140...

206/251=0,4022433230332031204120134...

207/251=0,4030204342301044200122133...

208/251=0,4032431004220112141124132...

209/251=0,4040202121134130132131131...

210/251=0,4042423233103143123133130...

211/251=0,4100144400022211114140124...

212/251=0,4102421011441224110142123...

213/251=0,4110142123410242101144122...

214/251=0,4112413240324310042201121...

215/251=0,4120134402243323033203120...

216/251=0,4122411014212341024210114...

217/251=0,4130132131131404020212113...

218/251=0,4132403243100422011214112...

219/251=0,4140124410014440002221111...

220/251=0,4142401021434002443223110...

221/251=0,4200122133403020434230104...

222/251=0,4202343300322033430232103...

223/251=0,4210114412241101421234102...

224/251=0,4212341024210114412241101...

225/251=0,4220112141124132403243100...

226/251=0,4222333303043200344300044...

227/251=0,4230104420012213340302043...

228/251=0,4232331031431231331304042...

229/251=0,4240102143400244322311041...

230/251=0,4242323310314312313313040...

231/251=0,4300044422233330304320034...

232/251=0,4302321034202343300322033...

233/251=0,4310042201121411241324032...

234/251=0,4312313313040424232331031...

235/251=0,4320034430004442223333030...

236/251=0,4322311041424010214340024...

237/251=0,4330032203343023210342023...

238/251=0,4332303320312041201344022...

239/251=0,4340024432231104142401021...

240/251=0,4342301044200122133403020...

241/251=0,4400022211114140124410014...

242/251=0,4402243323033203120412013...

243/251=0,4410014440002221111414012...

244/251=0,4412241101421234102421011...

245/251=0,4420012213340302043423010...

246/251=0,4422233330304320034430004...

247/251=0,4430004442223333030432003...

248/251=0,4432231104142401021434002...

249/251=0,4440002221111414012441001...

250/251=0,4442223333030432003443000...

On remarque que le produit du nombre de périodes (10) et de leurs longueurs (25) est égal à 250 et donc au premier -1.