Liste des fractions de n/193 en base 3.

Il existe 12 périodes de 16 chiffres pour n/193 en base 3.

Pour toutes les fractions de n/193 en base 3, la période de 1/193 revient alors 16 fois (en orange)

1/193=0,0000102022221202...

2/193=0,0000211122220111...

3/193=0,0001020222212020...

4/193=0,0001200022210222...

5/193=0,0002002122202201...

6/193=0,0002111222201110...

7/193=0,0002221022200012...

8/193=0,0010100122121221...

9/193=0,0010202222120200...

10/193=0,0011012022112102...

11/193=0,0011121122111011...

12/193=0,0012000222102220...

13/193=0,0012110022101122...

14/193=0,0012212122100101...

15/193=0,0020021222022010...

16/193=0,0020201022020212...

17/193=0,0021010122012121...

18/193=0,0021112222011100...

19/193=0,0021222022010002...

20/193=0,0022101122001211...

21/193=0,0022210222000120...

22/193=0,0100020021222022...

23/193=0,0100122121221001...

24/193=0,0101001221212210...

25/193=0,0101111021211112...

26/193=0,0101220121210021...

27/193=0,0102022221202000...

28/193=0,0102202021200202...

29/193=0,0110011121122111...

30/193=0,0110120221121020...

31/193=0,0111000021112222...

32/193=0,0111102121111201...

33/193=0,0111211221110110...

34/193=0,0112021021102012...

35/193=0,0112200121100221...

36/193=0,0120002221022200...

37/193=0,0120112021021102...

38/193=0,0120221121020011...

39/193=0,0121100221011220...

40/193=0,0121210021010122...

41/193=0,0122012121002101...

42/193=0,0122121221001010...

43/193=0,0200001020222212...

44/193=0,0200110120221121...

45/193=0,0200212220220100...

46/193=0,0201022020212002...

47/193=0,0201201120210211...

48/193=0,0202010220202120...

49/193=0,0202120020201022...

50/193=0,0202222120200001...

51/193=0,0210101220121210...

52/193=0,0210211020120112...

53/193=0,0211020120112021...

54/193=0,0211122220111000...

55/193=0,0212002020102202...

56/193=0,0212111120101111...

57/193=0,0212220220100020...

58/193=0,0220100020021222...

59/193=0,0220202120020201...

60/193=0,0221011220012110...

61/193=0,0221121020011012...

62/193=0,0222000120002221...

63/193=0,0222102220001200...

64/193=0,0222212020000102...

65/193=0,1000021112222011...

66/193=0,1000200212220220...

67/193=0,1001010012212122...

68/193=0,1001112112211101...

69/193=0,1001221212210010...

70/193=0,1002101012201212...

71/193=0,1002210112200121...

72/193=0,1010012212122100...

73/193=0,1010122012121002...

74/193=0,1011001112112211...

75/193=0,1011110212111120...

76/193=0,1011220012110022...

77/193=0,1012022112102001...

78/193=0,1012201212100210...

79/193=0,1020011012022112...

80/193=0,1020120112021021...

81/193=0,1020222212020000...

82/193=0,1021102012011202...

83/193=0,1021211112010111...

84/193=0,1022020212002020...

85/193=0,1022200012000222...

86/193=0,1100002111222201...

87/193=0,1100111211221110...

88/193=0,1100221011220012...

89/193=0,1101100111211221...

90/193=0,1101202211210200...

91/193=0,1102012011202102...

92/193=0,1102121111201011...

93/193=0,1110000211122220...

94/193=0,1110110011121122...

95/193=0,1110212111120101...

96/193=0,1111021211112010...

97/193=0,1111201011110212...

98/193=0,1112010111102121...

99/193=0,1112112211101100...

100/193=0,1112222011100002...

101/193=0,1120101111021211...

102/193=0,1120210211020120...

103/193=0,1121020011012022...

104/193=0,1121122111011001...

105/193=0,1122001211002210...

106/193=0,1122111011001112...

107/193=0,1122220111000021...

108/193=0,1200022210222000...

109/193=0,1200202010220202...

110/193=0,1201011110212111...

111/193=0,1201120210211020...

112/193=0,1202000010202222...

113/193=0,1202102110201201...

114/193=0,1202211210200110...

115/193=0,1210021010122012...

116/193=0,1210200110120221...

117/193=0,1211002210112200...

118/193=0,1211112010111102...

119/193=0,1211221110110011...

120/193=0,1212100210101220...

121/193=0,1212210010100122...

122/193=0,1220012110022101...

123/193=0,1220121210021010...

124/193=0,1221001010012212...

125/193=0,1221110110011121...

126/193=0,1221212210010100...

127/193=0,1222022010002002...

128/193=0,1222201110000211...

129/193=0,2000010202222120...

130/193=0,2000120002221022...

131/193=0,2000222102220001...

132/193=0,2001101202211210...

133/193=0,2001211002210112...

134/193=0,2002020102202021...

135/193=0,2002122202201000...

136/193=0,2010002002122202...

137/193=0,2010111102121111...

138/193=0,2010220202120020...

139/193=0,2011100002111222...

140/193=0,2011202102110201...

141/193=0,2012011202102110...

142/193=0,2012121002101012...

143/193=0,2020000102022221...

144/193=0,2020102202021200...

145/193=0,2020212002020102...

146/193=0,2021021102012011...

147/193=0,2021200202010220...

148/193=0,2022010002002122...

149/193=0,2022112102001101...

150/193=0,2022221202000010...

151/193=0,2100101001221212...

152/193=0,2100210101220121...

153/193=0,2101012201212100...

154/193=0,2101122001211002...

155/193=0,2102001101202211...

156/193=0,2102110201201120...

157/193=0,2102220001200022...

158/193=0,2110022101122001...

159/193=0,2110201201120210...

160/193=0,2111011001112112...

161/193=0,2111120101111021...

162/193=0,2111222201110000...

163/193=0,2112102001101202...

164/193=0,2112211101100111...

165/193=0,2120020201022020...

166/193=0,2120200001020222...

167/193=0,2121002101012201...

168/193=0,2121111201011110...

169/193=0,2121221001010012...

170/193=0,2122100101001221...

171/193=0,2122202201000200...

172/193=0,2200012000222102...

173/193=0,2200121100221011...

174/193=0,2201000200212220...

175/193=0,2201110000211122...

176/193=0,2201212100210101...

177/193=0,2202021200202010...

178/193=0,2202201000200212...

179/193=0,2210010100122121...

180/193=0,2210112200121100...

181/193=0,2210222000120002...

182/193=0,2211101100111211...

183/193=0,2211210200110120...

184/193=0,2212020000102022...

185/193=0,2212122100101001...

186/193=0,2220001200022210...

187/193=0,2220111000021112...

188/193=0,2220220100020021...

189/193=0,2221022200012000...

190/193=0,2221202000010202...

191/193=0,2222011100002111...

192/193=0,2222120200001020...

On remarque que le produit du nombre de périodes (12) et de leurs longueurs (16) est égal à 192 et donc au premier -1.