Il existe 2 périodes de 96 chiffres pour n/193 en base 6.

Pour toutes les fractions de n/193 en base 6, la période de 1/193 revient alors 96 fois (en orange)

1/193=0,001041424012541532155343230353003205120042505440554514131543014023400212325202552350435513050115...

2/193=0,002123252025523504355130501150010414240125415321553432303530032051200425054405545141315430140234...

3/193=0,003205120042505440554514131543014023400212325202552350435513050115001041424012541532155343230353...

4/193=0,004250544055451413154301402340021232520255235043551305011500104142401254153215534323035300320512...

5/193=0,005332412112433345354045033133024442040342144524550223143443122210201510522422531113515213411031...

6/193=0,010414240125415321553432303530032051200425054405545141315430140234002123252025523504355130501150...

7/193=0,011500104142401254153215534323035300320512004250544055451413154301402340021232520255235043551305...

8/193=0,012541532155343230353003205120042505440554514131543014023400212325202552350435513050115001041424...

9/193=0,014023400212325202552350435513050115001041424012541532155343230353003205120042505440554514131543...

10/193=0,015105224225311135152134110310053324121124333453540450331330244420403421445245502231434431222102...

11/193=0,020151052242253111351521341103100533241211243334535404503313302444204034214452455022314344312221...

12/193=0,021232520255235043551305011500104142401254153215534323035300320512004250544055451413154301402340...

13/193=0,022314344312221020151052242253111351521341103100533241211243334535404503313302444204034214452455...

14/193=0,023400212325202552350435513050115001041424012541532155343230353003205120042505440554514131543014...

15/193=0,024442040342144524550223143443122210201510522422531113515213411031005332412112433345354045033133...

16/193=0,025523504355130501150010414240125415321553432303530032051200425054405545141315430140234002123252...

17/193=0,031005332412112433345354045033133024442040342144524550223143443122210201510522422531113515213411...

18/193=0,032051200425054405545141315430140234002123252025523504355130501150010414240125415321553432303530...

19/193=0,033133024442040342144524550223143443122210201510522422531113515213411031005332412112433345354045...

20/193=0,034214452455022314344312221020151052242253111351521341103100533241211243334535404503313302444204...

21/193=0,035300320512004250544055451413154301402340021232520255235043551305011500104142401254153215534323...

22/193=0,040342144524550223143443122210201510522422531113515213411031005332412112433345354045033133024442...

23/193=0,041424012541532155343230353003205120042505440554514131543014023400212325202552350435513050115001...

24/193=0,042505440554514131543014023400212325202552350435513050115001041424012541532155343230353003205120...

25/193=0,043551305011500104142401254153215534323035300320512004250544055451413154301402340021232520255235...

26/193=0,045033133024442040342144524550223143443122210201510522422531113515213411031005332412112433345354...

27/193=0,050115001041424012541532155343230353003205120042505440554514131543014023400212325202552350435513...

28/193=0,051200425054405545141315430140234002123252025523504355130501150010414240125415321553432303530032...

29/193=0,052242253111351521341103100533241211243334535404503313302444204034214452455022314344312221020151...

30/193=0,053324121124333453540450331330244420403421445245502231434431222102015105224225311135152134110310...

31/193=0,054405545141315430140234002123252025523504355130501150010414240125415321553432303530032051200425...

32/193=0,055451413154301402340021232520255235043551305011500104142401254153215534323035300320512004250544...

33/193=0,100533241211243334535404503313302444204034214452455022314344312221020151052242253111351521341103...

34/193=0,102015105224225311135152134110310053324121124333453540450331330244420403421445245502231434431222...

35/193=0,103100533241211243334535404503313302444204034214452455022314344312221020151052242253111351521341...

36/193=0,104142401254153215534323035300320512004250544055451413154301402340021232520255235043551305011500...

37/193=0,105224225311135152134110310053324121124333453540450331330244420403421445245502231434431222102015...

38/193=0,110310053324121124333453540450331330244420403421445245502231434431222102015105224225311135152134...

39/193=0,111351521341103100533241211243334535404503313302444204034214452455022314344312221020151052242253...

40/193=0,112433345354045033133024442040342144524550223143443122210201510522422531113515213411031005332412...

41/193=0,113515213411031005332412112433345354045033133024442040342144524550223143443122210201510522422531...

42/193=0,115001041424012541532155343230353003205120042505440554514131543014023400212325202552350435513050...

43/193=0,120042505440554514131543014023400212325202552350435513050115001041424012541532155343230353003205...

44/193=0,121124333453540450331330244420403421445245502231434431222102015105224225311135152134110310053324...

45/193=0,122210201510522422531113515213411031005332412112433345354045033133024442040342144524550223143443...

46/193=0,123252025523504355130501150010414240125415321553432303530032051200425054405545141315430140234002...

47/193=0,124333453540450331330244420403421445245502231434431222102015105224225311135152134110310053324121...

48/193=0,125415321553432303530032051200425054405545141315430140234002123252025523504355130501150010414240...

49/193=0,130501150010414240125415321553432303530032051200425054405545141315430140234002123252025523504355...

50/193=0,131543014023400212325202552350435513050115001041424012541532155343230353003205120042505440554514...

51/193=0,133024442040342144524550223143443122210201510522422531113515213411031005332412112433345354045033...

52/193=0,134110310053324121124333453540450331330244420403421445245502231434431222102015105224225311135152...

53/193=0,135152134110310053324121124333453540450331330244420403421445245502231434431222102015105224225311...

54/193=0,140234002123252025523504355130501150010414240125415321553432303530032051200425054405545141315430...

55/193=0,141315430140234002123252025523504355130501150010414240125415321553432303530032051200425054405545...

56/193=0,142401254153215534323035300320512004250544055451413154301402340021232520255235043551305011500104...

57/193=0,143443122210201510522422531113515213411031005332412112433345354045033133024442040342144524550223...

58/193=0,144524550223143443122210201510522422531113515213411031005332412112433345354045033133024442040342...

59/193=0,150010414240125415321553432303530032051200425054405545141315430140234002123252025523504355130501...

60/193=0,151052242253111351521341103100533241211243334535404503313302444204034214452455022314344312221020...

61/193=0,152134110310053324121124333453540450331330244420403421445245502231434431222102015105224225311135...

62/193=0,153215534323035300320512004250544055451413154301402340021232520255235043551305011500104142401254...

63/193=0,154301402340021232520255235043551305011500104142401254153215534323035300320512004250544055451413...

64/193=0,155343230353003205120042505440554514131543014023400212325202552350435513050115001041424012541532...

65/193=0,200425054405545141315430140234002123252025523504355130501150010414240125415321553432303530032051...

66/193=0,201510522422531113515213411031005332412112433345354045033133024442040342144524550223143443122210...

67/193=0,202552350435513050115001041424012541532155343230353003205120042505440554514131543014023400212325...

68/193=0,204034214452455022314344312221020151052242253111351521341103100533241211243334535404503313302444...

69/193=0,205120042505440554514131543014023400212325202552350435513050115001041424012541532155343230353003...

70/193=0,210201510522422531113515213411031005332412112433345354045033133024442040342144524550223143443122...

71/193=0,211243334535404503313302444204034214452455022314344312221020151052242253111351521341103100533241...

72/193=0,212325202552350435513050115001041424012541532155343230353003205120042505440554514131543014023400...

73/193=0,213411031005332412112433345354045033133024442040342144524550223143443122210201510522422531113515...

74/193=0,214452455022314344312221020151052242253111351521341103100533241211243334535404503313302444204034...

75/193=0,215534323035300320512004250544055451413154301402340021232520255235043551305011500104142401254153...

76/193=0,221020151052242253111351521341103100533241211243334535404503313302444204034214452455022314344312...

77/193=0,222102015105224225311135152134110310053324121124333453540450331330244420403421445245502231434431...

78/193=0,223143443122210201510522422531113515213411031005332412112433345354045033133024442040342144524550...

79/193=0,224225311135152134110310053324121124333453540450331330244420403421445245502231434431222102015105...

80/193=0,225311135152134110310053324121124333453540450331330244420403421445245502231434431222102015105224...

81/193=0,230353003205120042505440554514131543014023400212325202552350435513050115001041424012541532155343...

82/193=0,231434431222102015105224225311135152134110310053324121124333453540450331330244420403421445245502...

83/193=0,232520255235043551305011500104142401254153215534323035300320512004250544055451413154301402340021...

84/193=0,234002123252025523504355130501150010414240125415321553432303530032051200425054405545141315430140...

85/193=0,235043551305011500104142401254153215534323035300320512004250544055451413154301402340021232520255...

86/193=0,240125415321553432303530032051200425054405545141315430140234002123252025523504355130501150010414...

87/193=0,241211243334535404503313302444204034214452455022314344312221020151052242253111351521341103100533...

88/193=0,242253111351521341103100533241211243334535404503313302444204034214452455022314344312221020151052...

89/193=0,243334535404503313302444204034214452455022314344312221020151052242253111351521341103100533241211...

90/193=0,244420403421445245502231434431222102015105224225311135152134110310053324121124333453540450331330...

91/193=0,245502231434431222102015105224225311135152134110310053324121124333453540450331330244420403421445...

92/193=0,250544055451413154301402340021232520255235043551305011500104142401254153215534323035300320512004...

93/193=0,252025523504355130501150010414240125415321553432303530032051200425054405545141315430140234002123...

94/193=0,253111351521341103100533241211243334535404503313302444204034214452455022314344312221020151052242...

95/193=0,254153215534323035300320512004250544055451413154301402340021232520255235043551305011500104142401...

96/193=0,255235043551305011500104142401254153215534323035300320512004250544055451413154301402340021232520...

97/193=0,300320512004250544055451413154301402340021232520255235043551305011500104142401254153215534323035...

98/193=0,301402340021232520255235043551305011500104142401254153215534323035300320512004250544055451413154...

99/193=0,302444204034214452455022314344312221020151052242253111351521341103100533241211243334535404503313...

100/193=0,303530032051200425054405545141315430140234002123252025523504355130501150010414240125415321553432...

101/193=0,305011500104142401254153215534323035300320512004250544055451413154301402340021232520255235043551...

102/193=0,310053324121124333453540450331330244420403421445245502231434431222102015105224225311135152134110...

103/193=0,311135152134110310053324121124333453540450331330244420403421445245502231434431222102015105224225...

104/193=0,312221020151052242253111351521341103100533241211243334535404503313302444204034214452455022314344...

105/193=0,313302444204034214452455022314344312221020151052242253111351521341103100533241211243334535404503...

106/193=0,314344312221020151052242253111351521341103100533241211243334535404503313302444204034214452455022...

107/193=0,315430140234002123252025523504355130501150010414240125415321553432303530032051200425054405545141...

108/193=0,320512004250544055451413154301402340021232520255235043551305011500104142401254153215534323035300...

109/193=0,321553432303530032051200425054405545141315430140234002123252025523504355130501150010414240125415...

110/193=0,323035300320512004250544055451413154301402340021232520255235043551305011500104142401254153215534...

111/193=0,324121124333453540450331330244420403421445245502231434431222102015105224225311135152134110310053...

112/193=0,325202552350435513050115001041424012541532155343230353003205120042505440554514131543014023400212...

113/193=0,330244420403421445245502231434431222102015105224225311135152134110310053324121124333453540450331...

114/193=0,331330244420403421445245502231434431222102015105224225311135152134110310053324121124333453540450...

115/193=0,332412112433345354045033133024442040342144524550223143443122210201510522422531113515213411031005...

116/193=0,333453540450331330244420403421445245502231434431222102015105224225311135152134110310053324121124...

117/193=0,334535404503313302444204034214452455022314344312221020151052242253111351521341103100533241211243...

118/193=0,340021232520255235043551305011500104142401254153215534323035300320512004250544055451413154301402...

119/193=0,341103100533241211243334535404503313302444204034214452455022314344312221020151052242253111351521...

120/193=0,342144524550223143443122210201510522422531113515213411031005332412112433345354045033133024442040...

121/193=0,343230353003205120042505440554514131543014023400212325202552350435513050115001041424012541532155...

122/193=0,344312221020151052242253111351521341103100533241211243334535404503313302444204034214452455022314...

123/193=0,345354045033133024442040342144524550223143443122210201510522422531113515213411031005332412112433...

124/193=0,350435513050115001041424012541532155343230353003205120042505440554514131543014023400212325202552...

125/193=0,351521341103100533241211243334535404503313302444204034214452455022314344312221020151052242253111...

126/193=0,353003205120042505440554514131543014023400212325202552350435513050115001041424012541532155343230...

127/193=0,354045033133024442040342144524550223143443122210201510522422531113515213411031005332412112433345...

128/193=0,355130501150010414240125415321553432303530032051200425054405545141315430140234002123252025523504...

129/193=0,400212325202552350435513050115001041424012541532155343230353003205120042505440554514131543014023...

130/193=0,401254153215534323035300320512004250544055451413154301402340021232520255235043551305011500104142...

131/193=0,402340021232520255235043551305011500104142401254153215534323035300320512004250544055451413154301...

132/193=0,403421445245502231434431222102015105224225311135152134110310053324121124333453540450331330244420...

133/193=0,404503313302444204034214452455022314344312221020151052242253111351521341103100533241211243334535...

134/193=0,405545141315430140234002123252025523504355130501150010414240125415321553432303530032051200425054...

135/193=0,411031005332412112433345354045033133024442040342144524550223143443122210201510522422531113515213...

136/193=0,412112433345354045033133024442040342144524550223143443122210201510522422531113515213411031005332...

137/193=0,413154301402340021232520255235043551305011500104142401254153215534323035300320512004250544055451...

138/193=0,414240125415321553432303530032051200425054405545141315430140234002123252025523504355130501150010...

139/193=0,415321553432303530032051200425054405545141315430140234002123252025523504355130501150010414240125...

140/193=0,420403421445245502231434431222102015105224225311135152134110310053324121124333453540450331330244...

141/193=0,421445245502231434431222102015105224225311135152134110310053324121124333453540450331330244420403...

142/193=0,422531113515213411031005332412112433345354045033133024442040342144524550223143443122210201510522...

143/193=0,424012541532155343230353003205120042505440554514131543014023400212325202552350435513050115001041...

144/193=0,425054405545141315430140234002123252025523504355130501150010414240125415321553432303530032051200...

145/193=0,430140234002123252025523504355130501150010414240125415321553432303530032051200425054405545141315...

146/193=0,431222102015105224225311135152134110310053324121124333453540450331330244420403421445245502231434...

147/193=0,432303530032051200425054405545141315430140234002123252025523504355130501150010414240125415321553...

148/193=0,433345354045033133024442040342144524550223143443122210201510522422531113515213411031005332412112...

149/193=0,434431222102015105224225311135152134110310053324121124333453540450331330244420403421445245502231...

150/193=0,435513050115001041424012541532155343230353003205120042505440554514131543014023400212325202552350...

151/193=0,440554514131543014023400212325202552350435513050115001041424012541532155343230353003205120042505...

152/193=0,442040342144524550223143443122210201510522422531113515213411031005332412112433345354045033133024...

153/193=0,443122210201510522422531113515213411031005332412112433345354045033133024442040342144524550223143...

154/193=0,444204034214452455022314344312221020151052242253111351521341103100533241211243334535404503313302...

155/193=0,445245502231434431222102015105224225311135152134110310053324121124333453540450331330244420403421...

156/193=0,450331330244420403421445245502231434431222102015105224225311135152134110310053324121124333453540...

157/193=0,451413154301402340021232520255235043551305011500104142401254153215534323035300320512004250544055...

158/193=0,452455022314344312221020151052242253111351521341103100533241211243334535404503313302444204034214...

159/193=0,453540450331330244420403421445245502231434431222102015105224225311135152134110310053324121124333...

160/193=0,455022314344312221020151052242253111351521341103100533241211243334535404503313302444204034214452...

161/193=0,500104142401254153215534323035300320512004250544055451413154301402340021232520255235043551305011...

162/193=0,501150010414240125415321553432303530032051200425054405545141315430140234002123252025523504355130...

163/193=0,502231434431222102015105224225311135152134110310053324121124333453540450331330244420403421445245...

164/193=0,503313302444204034214452455022314344312221020151052242253111351521341103100533241211243334535404...

165/193=0,504355130501150010414240125415321553432303530032051200425054405545141315430140234002123252025523...

166/193=0,505440554514131543014023400212325202552350435513050115001041424012541532155343230353003205120042...

167/193=0,510522422531113515213411031005332412112433345354045033133024442040342144524550223143443122210201...

168/193=0,512004250544055451413154301402340021232520255235043551305011500104142401254153215534323035300320...

169/193=0,513050115001041424012541532155343230353003205120042505440554514131543014023400212325202552350435...

170/193=0,514131543014023400212325202552350435513050115001041424012541532155343230353003205120042505440554...

171/193=0,515213411031005332412112433345354045033133024442040342144524550223143443122210201510522422531113...

172/193=0,520255235043551305011500104142401254153215534323035300320512004250544055451413154301402340021232...

173/193=0,521341103100533241211243334535404503313302444204034214452455022314344312221020151052242253111351...

174/193=0,522422531113515213411031005332412112433345354045033133024442040342144524550223143443122210201510...

175/193=0,523504355130501150010414240125415321553432303530032051200425054405545141315430140234002123252025...

176/193=0,524550223143443122210201510522422531113515213411031005332412112433345354045033133024442040342144...

177/193=0,530032051200425054405545141315430140234002123252025523504355130501150010414240125415321553432303...

178/193=0,531113515213411031005332412112433345354045033133024442040342144524550223143443122210201510522422...

179/193=0,532155343230353003205120042505440554514131543014023400212325202552350435513050115001041424012541...

180/193=0,533241211243334535404503313302444204034214452455022314344312221020151052242253111351521341103100...

181/193=0,534323035300320512004250544055451413154301402340021232520255235043551305011500104142401254153215...

182/193=0,535404503313302444204034214452455022314344312221020151052242253111351521341103100533241211243334...

183/193=0,540450331330244420403421445245502231434431222102015105224225311135152134110310053324121124333453...

184/193=0,541532155343230353003205120042505440554514131543014023400212325202552350435513050115001041424012...

185/193=0,543014023400212325202552350435513050115001041424012541532155343230353003205120042505440554514131...

186/193=0,544055451413154301402340021232520255235043551305011500104142401254153215534323035300320512004250...

187/193=0,545141315430140234002123252025523504355130501150010414240125415321553432303530032051200425054405...

188/193=0,550223143443122210201510522422531113515213411031005332412112433345354045033133024442040342144524...

189/193=0,551305011500104142401254153215534323035300320512004250544055451413154301402340021232520255235043...

190/193=0,552350435513050115001041424012541532155343230353003205120042505440554514131543014023400212325202...

191/193=0,553432303530032051200425054405545141315430140234002123252025523504355130501150010414240125415321...

192/193=0,554514131543014023400212325202552350435513050115001041424012541532155343230353003205120042505440...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (96) est égal à 192 et donc au premier -1.