Il existe 10 périodes de 19 chiffres pour n/191 en base 6.

Pour toutes les fractions de n/191 en base 6, la période de 1/191 revient alors 19 fois (en orange)

1/191=0,0010441344500535321...

2/191=0,0021323133401515042...

3/191=0,0032204522302454403...

4/191=0,0043050311203434124...

5/191=0,0053532100104413445...

6/191=0,0104413445005353210...

7/191=0,0115255233510332531...

8/191=0,0130141022411312252...

9/191=0,0141022411312252013...

10/191=0,0151504200213231334...

11/191=0,0202345545114211055...

12/191=0,0213231334015150420...

13/191=0,0224113122520130141...

14/191=0,0234554511421105502...

15/191=0,0245440300322045223...

16/191=0,0300322045223024544...

17/191=0,0311203434124004305...

18/191=0,0322045223024544030...

19/191=0,0332531011525523351...

20/191=0,0343412400430503112...

21/191=0,0354254145331442433...

22/191=0,0405135534232422154...

23/191=0,0420021323133401515...

24/191=0,0430503112034341240...

25/191=0,0441344500535321001...

26/191=0,0452230245440300322...

27/191=0,0503112034341240043...

28/191=0,0513553423242215404...

29/191=0,0524435212143155125...

30/191=0,0535321001044134450...

31/191=0,0550202345545114211...

32/191=0,1001044134450053532...

33/191=0,1011525523351033253...

34/191=0,1022411312252013014...

35/191=0,1033253101152552335...

36/191=0,1044134450053532100...

37/191=0,1055020234554511421...

38/191=0,1105502023455451142...

39/191=0,1120343412400430503...

40/191=0,1131225201301410224...

41/191=0,1142110550202345545...

42/191=0,1152552335103325310...

43/191=0,1203434124004305031...

44/191=0,1214315512505244352...

45/191=0,1225201301410224113...

46/191=0,1240043050311203434...

47/191=0,1250524435212143155...

48/191=0,1301410224113122520...

49/191=0,1312252013014102241...

50/191=0,1323133401515042002...

51/191=0,1334015150420021323...

52/191=0,1344500535321001044...

53/191=0,1355342324221540405...

54/191=0,1410224113122520130...

55/191=0,1421105502023455451...

56/191=0,1431551250524435212...

57/191=0,1442433035425414533...

58/191=0,1453314424330354254...

59/191=0,1504200213231334015...

60/191=0,1515042002132313340...

61/191=0,1525523351033253101...

62/191=0,1540405135534232422...

63/191=0,1551250524435212143...

64/191=0,2002132313340151504...

65/191=0,2013014102241131225...

66/191=0,2023455451142110550...

67/191=0,2034341240043050311...

68/191=0,2045223024544030032...

69/191=0,2100104413445005353...

70/191=0,2110550202345545114...

71/191=0,2121431551250524435...

72/191=0,2132313340151504200...

73/191=0,2143155125052443521...

74/191=0,2154040513553423242...

75/191=0,2204522302454403003...

76/191=0,2215404051355342324...

77/191=0,2230245440300322045...

78/191=0,2241131225201301410...

79/191=0,2252013014102241131...

80/191=0,2302454403003220452...

81/191=0,2313340151504200213...

82/191=0,2324221540405135534...

83/191=0,2335103325310115255...

84/191=0,2345545114211055020...

85/191=0,2400430503112034341...

86/191=0,2411312252013014102...

87/191=0,2422154040513553423...

88/191=0,2433035425414533144...

89/191=0,2443521214315512505...

90/191=0,2454403003220452230...

91/191=0,2505244352121431551...

92/191=0,2520130141022411312...

93/191=0,2531011525523351033...

94/191=0,2541453314424330354...

95/191=0,2552335103325310115...

96/191=0,3003220452230245440...

97/191=0,3014102241131225201...

98/191=0,3024544030032204522...

99/191=0,3035425414533144243...

100/191=0,3050311203434124004...

101/191=0,3101152552335103325...

102/191=0,3112034341240043050...

103/191=0,3122520130141022411...

104/191=0,3133401515042002132...

105/191=0,3144243303542541453...

106/191=0,3155125052443521214...

107/191=0,3210010441344500535...

108/191=0,3220452230245440300...

109/191=0,3231334015150420021...

110/191=0,3242215404051355342...

111/191=0,3253101152552335103...

112/191=0,3303542541453314424...

113/191=0,3314424330354254145...

114/191=0,3325310115255233510...

115/191=0,3340151504200213231...

116/191=0,3351033253101152552...

117/191=0,3401515042002132313...

118/191=0,3412400430503112034...

119/191=0,3423242215404051355...

120/191=0,3434124004305031120...

121/191=0,3445005353210010441...

122/191=0,3455451142110550202...

123/191=0,3510332531011525523...

124/191=0,3521214315512505244...

125/191=0,3532100104413445005...

126/191=0,3542541453314424330...

127/191=0,3553423242215404051...

128/191=0,4004305031120343412...

129/191=0,4015150420021323133...

130/191=0,4030032204522302454...

131/191=0,4040513553423242215...

132/191=0,4051355342324221540...

133/191=0,4102241131225201301...

134/191=0,4113122520130141022...

135/191=0,4124004305031120343...

136/191=0,4134450053532100104...

137/191=0,4145331442433035425...

138/191=0,4200213231334015150...

139/191=0,4211055020234554511...

140/191=0,4221540405135534232...

141/191=0,4232422154040513553...

142/191=0,4243303542541453314...

143/191=0,4254145331442433035...

144/191=0,4305031120343412400...

145/191=0,4315512505244352121...

146/191=0,4330354254145331442...

147/191=0,4341240043050311203...

148/191=0,4352121431551250524...

149/191=0,4403003220452230245...

150/191=0,4413445005353210010...

151/191=0,4424330354254145331...

152/191=0,4435212143155125052...

153/191=0,4450053532100104413...

154/191=0,4500535321001044134...

155/191=0,4511421105502023455...

156/191=0,4522302454403003220...

157/191=0,4533144243303542541...

158/191=0,4544030032204522302...

159/191=0,4554511421105502023...

160/191=0,5005353210010441344...

161/191=0,5020234554511421105...

162/191=0,5031120343412400430...

163/191=0,5042002132313340151...

164/191=0,5052443521214315512...

165/191=0,5103325310115255233...

166/191=0,5114211055020234554...

167/191=0,5125052443521214315...

168/191=0,5135534232422154040...

169/191=0,5150420021323133401...

170/191=0,5201301410224113122...

171/191=0,5212143155125052443...

172/191=0,5223024544030032204...

173/191=0,5233510332531011525...

174/191=0,5244352121431551250...

175/191=0,5255233510332531011...

176/191=0,5310115255233510332...

177/191=0,5321001044134450053...

178/191=0,5331442433035425414...

179/191=0,5342324221540405135...

180/191=0,5353210010441344500...

181/191=0,5404051355342324221...

182/191=0,5414533144243303542...

183/191=0,5425414533144243303...

184/191=0,5440300322045223024...

185/191=0,5451142110550202345...

186/191=0,5502023455451142110...

187/191=0,5512505244352121431...

188/191=0,5523351033253101152...

189/191=0,5534232422154040513...

190/191=0,5545114211055020234...

On remarque que le produit du nombre de périodes (10) et de leurs longueurs (19) est égal à 190 et donc au premier -1.