cadre

Liste des fractions de n/197 en base 6.

Il existe 14 périodes de 14 chiffres pour n/197 en base 6.

Pour toutes les fractions de n/197 en base 6, la période de 1/197 revient alors 14 fois (en orange)

1/197=0,00103245545231...

2/197=0,00210535534502...

3/197=0,00314225524133...

4/197=0,00421515513404...

5/197=0,00525205503035...

6/197=0,01032455452310...

7/197=0,01140145441541...

8/197=0,01243435431212...

9/197=0,01351125420443...

10/197=0,01454415410114...

11/197=0,02002105355345...

12/197=0,02105355345020...

13/197=0,02213045334251...

14/197=0,02320335323522...

15/197=0,02424025313153...

16/197=0,02531315302424...

17/197=0,03035005252055...

18/197=0,03142255241330...

19/197=0,03245545231001...

20/197=0,03353235220232...

21/197=0,03500525205503...

22/197=0,04004215155134...

23/197=0,04111505144405...

24/197=0,04215155134040...

25/197=0,04322445123311...

26/197=0,04430135112542...

27/197=0,04533425102213...

28/197=0,05041115051444...

29/197=0,05144405041115...

30/197=0,05252055030350...

31/197=0,05355345020021...

32/197=0,05503035005252...

33/197=0,10010324554523...

34/197=0,10114014544154...

35/197=0,10221304533425...

36/197=0,10324554523100...

37/197=0,10432244512331...

38/197=0,10535534502002...

39/197=0,11043224451233...

40/197=0,11150514440504...

41/197=0,11254204430135...

42/197=0,11401454415410...

43/197=0,11505144405041...

44/197=0,12012434354312...

45/197=0,12120124343543...

46/197=0,12223414333214...

47/197=0,12331104322445...

48/197=0,12434354312120...

49/197=0,12542044301351...

50/197=0,13045334251022...

51/197=0,13153024240253...

52/197=0,13300314225524...

53/197=0,13404004215155...

54/197=0,13511254204430...

55/197=0,14014544154101...

56/197=0,14122234143332...

57/197=0,14225524133003...

58/197=0,14333214122234...

59/197=0,14440504111505...

60/197=0,14544154101140...

61/197=0,15051444050411...

62/197=0,15155134040042...

63/197=0,15302424025313...

64/197=0,15410114014544...

65/197=0,15513404004215...

66/197=0,20021053553450...

67/197=0,20124343543121...

68/197=0,20232033532352...

69/197=0,20335323522023...

70/197=0,20443013511254...

71/197=0,20550303500525...

72/197=0,21053553450200...

73/197=0,21201243435431...

74/197=0,21304533425102...

75/197=0,21412223414333...

76/197=0,21515513404004...

77/197=0,22023203353235...

78/197=0,22130453342510...

79/197=0,22234143332141...

80/197=0,22341433321412...

81/197=0,22445123311043...

82/197=0,22552413300314...

83/197=0,23100103245545...

84/197=0,23203353235220...

85/197=0,23311043224451...

86/197=0,23414333214122...

87/197=0,23522023203353...

88/197=0,24025313153024...

89/197=0,24133003142255...

90/197=0,24240253131530...

91/197=0,24343543121201...

92/197=0,24451233110432...

93/197=0,24554523100103...

94/197=0,25102213045334...

95/197=0,25205503035005...

96/197=0,25313153024240...

97/197=0,25420443013511...

98/197=0,25524133003142...

99/197=0,30031422552413...

100/197=0,30135112542044...

101/197=0,30242402531315...

102/197=0,30350052520550...

103/197=0,30453342510221...

104/197=0,31001032455452...

105/197=0,31104322445123...

106/197=0,31212012434354...

107/197=0,31315302424025...

108/197=0,31422552413300...

109/197=0,31530242402531...

110/197=0,32033532352202...

111/197=0,32141222341433...

112/197=0,32244512331104...

113/197=0,32352202320335...

114/197=0,32455452310010...

115/197=0,33003142255241...

116/197=0,33110432244512...

117/197=0,33214122234143...

118/197=0,33321412223414...

119/197=0,33425102213045...

120/197=0,33532352202320...

121/197=0,34040042151551...

122/197=0,34143332141222...

123/197=0,34251022130453...

124/197=0,34354312120124...

125/197=0,34502002105355...

126/197=0,35005252055030...

127/197=0,35112542044301...

128/197=0,35220232033532...

129/197=0,35323522023203...

130/197=0,35431212012434...

131/197=0,35534502002105...

132/197=0,40042151551340...

133/197=0,40145441541011...

134/197=0,40253131530242...

135/197=0,40400421515513...

136/197=0,40504111505144...

137/197=0,41011401454415...

138/197=0,41115051444050...

139/197=0,41222341433321...

140/197=0,41330031422552...

141/197=0,41433321412223...

142/197=0,41541011401454...

143/197=0,42044301351125...

144/197=0,42151551340400...

145/197=0,42255241330031...

146/197=0,42402531315302...

147/197=0,42510221304533...

148/197=0,43013511254204...

149/197=0,43121201243435...

150/197=0,43224451233110...

151/197=0,43332141222341...

152/197=0,43435431212012...

153/197=0,43543121201243...

154/197=0,44050411150514...

155/197=0,44154101140145...

156/197=0,44301351125420...

157/197=0,44405041115051...

158/197=0,44512331104322...

159/197=0,45020021053553...

160/197=0,45123311043224...

161/197=0,45231001032455...

162/197=0,45334251022130...

163/197=0,45441541011401...

164/197=0,45545231001032...

165/197=0,50052520550303...

166/197=0,50200210535534...

167/197=0,50303500525205...

168/197=0,50411150514440...

169/197=0,50514440504111...

170/197=0,51022130453342...

171/197=0,51125420443013...

172/197=0,51233110432244...

173/197=0,51340400421515...

174/197=0,51444050411150...

175/197=0,51551340400421...

176/197=0,52055030350052...

177/197=0,52202320335323...

178/197=0,52310010324554...

179/197=0,52413300314225...

180/197=0,52520550303500...

181/197=0,53024240253131...

182/197=0,53131530242402...

183/197=0,53235220232033...

184/197=0,53342510221304...

185/197=0,53450200210535...

186/197=0,53553450200210...

187/197=0,54101140145441...

188/197=0,54204430135112...

189/197=0,54312120124343...

190/197=0,54415410114014...

191/197=0,54523100103245...

192/197=0,55030350052520...

193/197=0,55134040042151...

194/197=0,55241330031422...

195/197=0,55345020021053...

196/197=0,55452310010324...

On remarque que le produit du nombre de périodes (14) et de leurs longueurs (14) est égal à 196 et donc au premier -1.