Il existe 8 périodes de 29 chiffres pour n/233 en base 4.

Pour toutes les fractions de n/233 en base 4, la période de 1/233 revient alors 29 fois (en orange)

1/233=0,00010121101103200020302202213...

2/233=0,00020302202213000101211011032...

3/233=0,00031023303322200122113213311...

4/233=0,00101211011032000203022022130...

5/233=0,00111332112201200223330231003...

6/233=0,00122113213311000310233033222...

7/233=0,00132300321020200331201302101...

8/233=0,00203022022130001012110110320...

9/233=0,00213203123233201033012313133...

10/233=0,00223330231003001113321122012...

11/233=0,00300111332112201200223330231...

12/233=0,00310233033222001221132133110...

13/233=0,00321020200331201302101001323...

14/233=0,00331201302101001323003210202...

15/233=0,01001323003210202003312013021...

16/233=0,01012110110320002030220221300...

17/233=0,01022231212023202111123030113...

18/233=0,01033012313133002132031232332...

19/233=0,01103200020302202213000101211...

20/233=0,01113321122012002233302310030...

21/233=0,01130102223121202320211112303...

22/233=0,01200223330231003001113321122...

23/233=0,01211011032000203022022130001...

24/233=0,01221132133110003102330332220...

25/233=0,01231313300213203123233201033...

26/233=0,01302101001323003210202003312...

27/233=0,01312222103032203231110212131...

28/233=0,01323003210202003312013021010...

29/233=0,01333130311311203332321223223...

30/233=0,02003312013021010013230032102...

31/233=0,02020033120130210100132300321...

32/233=0,02030220221300010121101103200...

33/233=0,02101001323003210202003312013...

34/233=0,02111123030113010222312120232...

35/233=0,02121310131222210303220323111...

36/233=0,02132031232332010330123131330...

37/233=0,02202213000101211011032000203...

38/233=0,02213000101211011032000203022...

39/233=0,02223121202320211112303011301...

40/233=0,02233302310030011133211220120...

41/233=0,02310030011133211220120022333...

42/233=0,02320211112303011301022231212...

43/233=0,02330332220012211321331100031...

44/233=0,03001113321122012002233302310...

45/233=0,03011301022231212023202111123...

46/233=0,03022022130001012110110320002...

47/233=0,03032203231110212131013122221...

48/233=0,03102330332220012211321331100...

49/233=0,03113112033323212232230133313...

50/233=0,03123233201033012313133002132...

51/233=0,03200020302202213000101211011...

52/233=0,03210202003312013021010013230...

53/233=0,03220323111021213101312222103...

54/233=0,03231110212131013122221030322...

55/233=0,03301231313300213203123233201...

56/233=0,03312013021010013230032102020...

57/233=0,03322200122113213311000310233...

58/233=0,03332321223223013331303113112...

59/233=0,10003102330332220012211321331...

60/233=0,10013230032102020033120130210...

61/233=0,10030011133211220120022333023...

62/233=0,10100132300321020200331201302...

63/233=0,10110320002030220221300010121...

64/233=0,10121101103200020302202213000...

65/233=0,10131222210303220323111021213...

66/233=0,10202003312013021010013230032...

67/233=0,10212131013122221030322032311...

68/233=0,10222312120232021111230301130...

69/233=0,10233033222001221132133110003...

70/233=0,10303220323111021213101312222...

71/233=0,10320002030220221300010121101...

72/233=0,10330123131330021320312323320...

73/233=0,11000310233033222001221132133...

74/233=0,11011032000203022022130001012...

75/233=0,11021213101312222103032203231...

76/233=0,11032000203022022130001012110...

77/233=0,11102121310131222210303220323...

78/233=0,11112303011301022231212023202...

79/233=0,11123030113010222312120232021...

80/233=0,11133211220120022333023100300...

81/233=0,11203332321223223013331303113...

82/233=0,11220120022333023100300111332...

83/233=0,11230301130102223121202320211...

84/233=0,11301022231212023202111123030...

85/233=0,11311203332321223223013331303...

86/233=0,11321331100031023303322200122...

87/233=0,11332112201200223330231003001...

88/233=0,12002233302310030011133211220...

89/233=0,12013021010013230032102020033...

90/233=0,12023202111123030113010222312...

91/233=0,12033323212232230133313031131...

92/233=0,12110110320002030220221300010...

93/233=0,12120232021111230301130102223...

94/233=0,12131013122221030322032311102...

95/233=0,12201200223330231003001113321...

96/233=0,12211321331100031023303322200...

97/233=0,12222103032203231110212131013...

98/233=0,12232230133313031131120333232...

99/233=0,12303011301022231212023202111...

100/233=0,12313133002132031232332010330...

101/233=0,12323320103301231313300213203...

102/233=0,13000101211011032000203022022...

103/233=0,13010222312120232021111230301...

104/233=0,13021010013230032102020033120...

105/233=0,13031131120333232122322301333...

106/233=0,13101312222103032203231110212...

107/233=0,13112033323212232230133313031...

108/233=0,13122221030322032311102121310...

109/233=0,13133002132031232332010330123...

110/233=0,13203123233201033012313133002...

111/233=0,13213311000310233033222001221...

112/233=0,13230032102020033120130210100...

113/233=0,13300213203123233201033012313...

114/233=0,13311000310233033222001221132...

115/233=0,13321122012002233302310030011...

116/233=0,13331303113112033323212232230...

117/233=0,20002030220221300010121101103...

118/233=0,20012211321331100031023303322...

119/233=0,20022333023100300111332112201...

120/233=0,20033120130210100132300321020...

121/233=0,20103301231313300213203123233...

122/233=0,20120022333023100300111332112...

123/233=0,20130210100132300321020200331...

124/233=0,20200331201302101001323003210...

125/233=0,20211112303011301022231212023...

126/233=0,20221300010121101103200020302...

127/233=0,20232021111230301130102223121...

128/233=0,20302202213000101211011032000...

129/233=0,20312323320103301231313300213...

130/233=0,20323111021213101312222103032...

131/233=0,20333232122322301333130311311...

132/233=0,21010013230032102020033120130...

133/233=0,21020200331201302101001323003...

134/233=0,21030322032311102121310131222...

135/233=0,21101103200020302202213000101...

136/233=0,21111230301130102223121202320...

137/233=0,21122012002233302310030011133...

138/233=0,21132133110003102330332220012...

139/233=0,21202320211112303011301022231...

140/233=0,21213101312222103032203231110...

141/233=0,21223223013331303113112033323...

142/233=0,21300010121101103200020302202...

143/233=0,21310131222210303220323111021...

144/233=0,21320312323320103301231313300...

145/233=0,21331100031023303322200122113...

146/233=0,22001221132133110003102330332...

147/233=0,22012002233302310030011133211...

148/233=0,22022130001012110110320002030...

149/233=0,22032311102121310131222210303...

150/233=0,22103032203231110212131013122...

151/233=0,22113213311000310233033222001...

152/233=0,22130001012110110320002030220...

153/233=0,22200122113213311000310233033...

154/233=0,22210303220323111021213101312...

155/233=0,22221030322032311102121310131...

156/233=0,22231212023202111123030113010...

157/233=0,22301333130311311203332321223...

158/233=0,22312120232021111230301130102...

159/233=0,22322301333130311311203332321...

160/233=0,22333023100300111332112201200...

161/233=0,23003210202003312013021010013...

162/233=0,23013331303113112033323212232...

163/233=0,23030113010222312120232021111...

164/233=0,23100300111332112201200223330...

165/233=0,23111021213101312222103032203...

166/233=0,23121202320211112303011301022...

167/233=0,23131330021320312323320103301...

168/233=0,23202111123030113010222312120...

169/233=0,23212232230133313031131120333...

170/233=0,23223013331303113112033323212...

171/233=0,23233201033012313133002132031...

172/233=0,23303322200122113213311000310...

173/233=0,23320103301231313300213203123...

174/233=0,23330231003001113321122012002...

175/233=0,30001012110110320002030220221...

176/233=0,30011133211220120022333023100...

177/233=0,30021320312323320103301231313...

178/233=0,30032102020033120130210100132...

179/233=0,30102223121202320211112303011...

180/233=0,30113010222312120232021111230...

181/233=0,30123131330021320312323320103...

182/233=0,30133313031131120333232122322...

183/233=0,30210100132300321020200331201...

184/233=0,30220221300010121101103200020...

185/233=0,30231003001113321122012002233...

186/233=0,30301130102223121202320211112...

187/233=0,30311311203332321223223013331...

188/233=0,30322032311102121310131222210...

189/233=0,30332220012211321331100031023...

190/233=0,31003001113321122012002233302...

191/233=0,31013122221030322032311102121...

192/233=0,31023303322200122113213311000...

193/233=0,31100031023303322200122113213...

194/233=0,31110212131013122221030322032...

195/233=0,31120333232122322301333130311...

196/233=0,31131120333232122322301333130...

197/233=0,31201302101001323003210202003...

198/233=0,31212023202111123030113010222...

199/233=0,31222210303220323111021213101...

200/233=0,31232332010330123131330021320...

201/233=0,31303113112033323212232230133...

202/233=0,31313300213203123233201033012...

203/233=0,31330021320312323320103301231...

204/233=0,32000203022022130001012110110...

205/233=0,32010330123131330021320312323...

206/233=0,32021111230301130102223121202...

207/233=0,32031232332010330123131330021...

208/233=0,32102020033120130210100132300...

209/233=0,32112201200223330231003001113...

210/233=0,32122322301333130311311203332...

211/233=0,32133110003102330332220012211...

212/233=0,32203231110212131013122221030...

213/233=0,32220012211321331100031023303...

214/233=0,32230133313031131120333232122...

215/233=0,32300321020200331201302101001...

216/233=0,32311102121310131222210303220...

217/233=0,32321223223013331303113112033...

218/233=0,32332010330123131330021320312...

219/233=0,33002132031232332010330123131...

220/233=0,33012313133002132031232332010...

221/233=0,33023100300111332112201200223...

222/233=0,33033222001221132133110003102...

223/233=0,33110003102330332220012211321...

224/233=0,33120130210100132300321020200...

225/233=0,33130311311203332321223223013...

226/233=0,33201033012313133002132031232...

227/233=0,33211220120022333023100300111...

228/233=0,33222001221132133110003102330...

229/233=0,33232122322301333130311311203...

230/233=0,33302310030011133211220120022...

231/233=0,33313031131120333232122322301...

232/233=0,33323212232230133313031131120...

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