Il existe 19 périodes de 10 chiffres pour n/191 en base 7.

Pour toutes les fractions de n/191 en base 7, la période de 1/191 revient alors 10 fois (en orange)

1/191=0,0015366513...

2/191=0,0034066326...

3/191=0,0052466142...

4/191=0,0101165655...

5/191=0,0116565501...

6/191=0,0135265314...

7/191=0,0153665130...

8/191=0,0202364643...

9/191=0,0221064456...

10/191=0,0236464302...

11/191=0,0255164115...

12/191=0,0303563631...

13/191=0,0322263444...

14/191=0,0340663260...

15/191=0,0356363103...

16/191=0,0405062616...

17/191=0,0423462432...

18/191=0,0442162245...

19/191=0,0460562061...

20/191=0,0506261604...

21/191=0,0524661420...

22/191=0,0543361233...

23/191=0,0562061046...

24/191=0,0610460562...

25/191=0,0626160405...

26/191=0,0644560221...

27/191=0,0663260034...

28/191=0,1011656550...

29/191=0,1030356363...

30/191=0,1046056206...

31/191=0,1064456022...

32/191=0,1113155535...

33/191=0,1131555351...

34/191=0,1150255164...

35/191=0,1165655010...

36/191=0,1214354523...

37/191=0,1233054336...

38/191=0,1251454152...

39/191=0,1300153665...

40/191=0,1315553511...

41/191=0,1334253324...

42/191=0,1352653140...

43/191=0,1401352653...

44/191=0,1420052466...

45/191=0,1435452312...

46/191=0,1454152125...

47/191=0,1502551641...

48/191=0,1521251454...

49/191=0,1536651300...

50/191=0,1555351113...

51/191=0,1604050626...

52/191=0,1622450442...

53/191=0,1641150255...

54/191=0,1656550101...

55/191=0,2005246614...

56/191=0,2023646430...

57/191=0,2042346243...

58/191=0,2061046056...

59/191=0,2106445602...

60/191=0,2125145415...

61/191=0,2143545231...

62/191=0,2162245044...

63/191=0,2210644560...

64/191=0,2226344403...

65/191=0,2245044216...

66/191=0,2263444032...

67/191=0,2312143545...

68/191=0,2330543361...

69/191=0,2346243204...

70/191=0,2364643020...

71/191=0,2413342533...

72/191=0,2432042346...

73/191=0,2450442162...

74/191=0,2466142005...

75/191=0,2514541521...

76/191=0,2533241334...

77/191=0,2551641150...

78/191=0,2600340663...

79/191=0,2616040506...

80/191=0,2634440322...

81/191=0,2653140135...

82/191=0,3001536651...

83/191=0,3020236464...

84/191=0,3035636310...

85/191=0,3054336123...

86/191=0,3103035636...

87/191=0,3121435452...

88/191=0,3140135265...

89/191=0,3155535111...

90/191=0,3204234624...

91/191=0,3222634440...

92/191=0,3241334253...

93/191=0,3260034066...

94/191=0,3305433612...

95/191=0,3324133425...

96/191=0,3342533241...

97/191=0,3361233054...

98/191=0,3406632600...

99/191=0,3425332413...

100/191=0,3444032226...

101/191=0,3462432042...

102/191=0,3511131555...

103/191=0,3526531401...

104/191=0,3545231214...

105/191=0,3563631030...

106/191=0,3612330543...

107/191=0,3631030356...

108/191=0,3646430202...

109/191=0,3665130015...

110/191=0,4013526531...

111/191=0,4032226344...

112/191=0,4050626160...

113/191=0,4066326003...

114/191=0,4115025516...

115/191=0,4133425332...

116/191=0,4152125145...

117/191=0,4200524661...

118/191=0,4216224504...

119/191=0,4234624320...

120/191=0,4253324133...

121/191=0,4302023646...

122/191=0,4320423462...

123/191=0,4336123305...

124/191=0,4354523121...

125/191=0,4403222634...

126/191=0,4421622450...

127/191=0,4440322263...

128/191=0,4456022106...

129/191=0,4504421622...

130/191=0,4523121435...

131/191=0,4541521251...

132/191=0,4560221064...

133/191=0,4605620610...

134/191=0,4624320423...

135/191=0,4643020236...

136/191=0,4661420052...

137/191=0,5010116565...

138/191=0,5025516411...

139/191=0,5044216224...

140/191=0,5062616040...

141/191=0,5111315553...

142/191=0,5130015366...

143/191=0,5145415212...

144/191=0,5164115025...

145/191=0,5212514541...

146/191=0,5231214354...

147/191=0,5246614200...

148/191=0,5265314013...

149/191=0,5314013526...

150/191=0,5332413342...

151/191=0,5351113155...

152/191=0,5366513001...

153/191=0,5415212514...

154/191=0,5433612330...

155/191=0,5452312143...

156/191=0,5501011656...

157/191=0,5516411502...

158/191=0,5535111315...

159/191=0,5553511131...

160/191=0,5602210644...

161/191=0,5620610460...

162/191=0,5636310303...

163/191=0,5655010116...

164/191=0,6003406632...

165/191=0,6022106445...

166/191=0,6040506261...

167/191=0,6056206104...

168/191=0,6104605620...

169/191=0,6123305433...

170/191=0,6142005246...

171/191=0,6160405062...

172/191=0,6206104605...

173/191=0,6224504421...

174/191=0,6243204234...

175/191=0,6261604050...

176/191=0,6310303563...

177/191=0,6326003406...

178/191=0,6344403222...

179/191=0,6363103035...

180/191=0,6411502551...

181/191=0,6430202364...

182/191=0,6445602210...

183/191=0,6464302023...

184/191=0,6513001536...

185/191=0,6531401352...

186/191=0,6550101165...

187/191=0,6565501011...

188/191=0,6614200524...

189/191=0,6632600340...

190/191=0,6651300153...

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