Liste des fractions de n/191 en base 4.

Il existe 2 périodes de 95 chiffres pour n/191 en base 4.

Pour toutes les fractions de n/191 en base 4, la période de 1/191 revient alors 95 fois (en orange)

1/191=0,00011113013231033011001223032122020231210201200200022232033122132022003112130310101123021003001...

2/191=0,00022232033122132022003112130310101123021003001000111130132310330110012230321220202312102012002...

3/191=0,00100011113013231033011001223032122020231210201200200022232033122132022003112130310101123021003...

4/191=0,00111130132310330110012230321220202312102012002000222320331221320220031121303101011230210030010...

5/191=0,00122303212202023121020120020002223203312213202200311213031010112302100300100011113013231033011...

6/191=0,00200022232033122132022003112130310101123021003001000111130132310330110012230321220202312102012...

7/191=0,00211201311330221203023232210312330332333222203201023003223321103012113131021231321331333111013...

8/191=0,00222320331221320220031121303101011230210030010001111301323103301100122303212202023121020120020...

9/191=0,00300100011113013231033011001223032122020231210201200200022232033122132022003112130310101123021...

10/191=0,00311213031010112302100300100011113013231033011001223032122020231210201200200022232033122132022...

11/191=0,00322332110301211313102123132133133311101300211201311330221203023232210312330332333222203201023...

12/191=0,01000111130132310330110012230321220202312102012002000222320331221320220031121303101011230210030...

13/191=0,01011230210030010001111301323103301100122303212202023121020120020002223203312213202200311213031...

14/191=0,01023003223321103012113131021231321331333111013002112013113302212030232322103123303323332222032...

15/191=0,01100122303212202023121020120020002223203312213202200311213031010112302100300100011113013231033...

16/191=0,01111301323103301100122303212202023121020120020002223203312213202200311213031010112302100300100...

17/191=0,01123021003001000111130132310330110012230321220202312102012002000222320331221320220031121303101...

18/191=0,01200200022232033122132022003112130310101123021003001000111130132310330110012230321220202312102...

19/191=0,01211313102123132133133311101300211201311330221203023232210312330332333222203201023003223321103...

20/191=0,01223032122020231210201200200022232033122132022003112130310101123021003001000111130132310330110...

21/191=0,01300211201311330221203023232210312330332333222203201023003223321103012113131021231321331333111...

22/191=0,01311330221203023232210312330332333222203201023003223321103012113131021231321331333111013002112...

23/191=0,01323103301100122303212202023121020120020002223203312213202200311213031010112302100300100011113...

24/191=0,02000222320331221320220031121303101011230210030010001111301323103301100122303212202023121020120...

25/191=0,02012002000222320331221320220031121303101011230210030010001111301323103301100122303212202023121...

26/191=0,02023121020120020002223203312213202200311213031010112302100300100011113013231033011001223032122...

27/191=0,02100300100011113013231033011001223032122020231210201200200022232033122132022003112130310101123...

28/191=0,02112013113302212030232322103123303323332222032010230032233211030121131310212313213313331110130...

29/191=0,02123132133133311101300211201311330221203023232210312330332333222203201023003223321103012113131...

30/191=0,02200311213031010112302100300100011113013231033011001223032122020231210201200200022232033122132...

31/191=0,02212030232322103123303323332222032010230032233211030121131310212313213313331110130021120131133...

32/191=0,02223203312213202200311213031010112302100300100011113013231033011001223032122020231210201200200...

33/191=0,02300322332110301211313102123132133133311101300211201311330221203023232210312330332333222203201...

34/191=0,02312102012002000222320331221320220031121303101011230210030010001111301323103301100122303212202...

35/191=0,02323221031233033233322220320102300322332110301211313102123132133133311101300211201311330221203...

36/191=0,03001000111130132310330110012230321220202312102012002000222320331221320220031121303101011230210...

37/191=0,03012113131021231321331333111013002112013113302212030232322103123303323332222032010230032233211...

38/191=0,03023232210312330332333222203201023003223321103012113131021231321331333111013002112013113302212...

39/191=0,03101011230210030010001111301323103301100122303212202023121020120020002223203312213202200311213...

40/191=0,03112130310101123021003001000111130132310330110012230321220202312102012002000222320331221320220...

41/191=0,03123303323332222032010230032233211030121131310212313213313331110130021120131133022120302323221...

42/191=0,03201023003223321103012113131021231321331333111013002112013113302212030232322103123303323332222...

43/191=0,03212202023121020120020002223203312213202200311213031010112302100300100011113013231033011001223...

44/191=0,03223321103012113131021231321331333111013002112013113302212030232322103123303323332222032010230...

45/191=0,03301100122303212202023121020120020002223203312213202200311213031010112302100300100011113013231...

46/191=0,03312213202200311213031010112302100300100011113013231033011001223032122020231210201200200022232...

47/191=0,03323332222032010230032233211030121131310212313213313331110130021120131133022120302323221031233...

48/191=0,10001111301323103301100122303212202023121020120020002223203312213202200311213031010112302100300...

49/191=0,10012230321220202312102012002000222320331221320220031121303101011230210030010001111301323103301...

50/191=0,10030010001111301323103301100122303212202023121020120020002223203312213202200311213031010112302...

51/191=0,10101123021003001000111130132310330110012230321220202312102012002000222320331221320220031121303...

52/191=0,10112302100300100011113013231033011001223032122020231210201200200022232033122132022003112130310...

53/191=0,10130021120131133022120302323221031233033233322220320102300322332110301211313102123132133133311...

54/191=0,10201200200022232033122132022003112130310101123021003001000111130132310330110012230321220202312...

55/191=0,10212313213313331110130021120131133022120302323221031233033233322220320102300322332110301211313...

56/191=0,10230032233211030121131310212313213313331110130021120131133022120302323221031233033233322220320...

57/191=0,10301211313102123132133133311101300211201311330221203023232210312330332333222203201023003223321...

58/191=0,10312330332333222203201023003223321103012113131021231321331333111013002112013113302212030232322...

59/191=0,10330110012230321220202312102012002000222320331221320220031121303101011230210030010001111301323...

60/191=0,11001223032122020231210201200200022232033122132022003112130310101123021003001000111130132310330...

61/191=0,11013002112013113302212030232322103123303323332222032010230032233211030121131310212313213313331...

62/191=0,11030121131310212313213313331110130021120131133022120302323221031233033233322220320102300322332...

63/191=0,11101300211201311330221203023232210312330332333222203201023003223321103012113131021231321331333...

64/191=0,11113013231033011001223032122020231210201200200022232033122132022003112130310101123021003001000...

65/191=0,11130132310330110012230321220202312102012002000222320331221320220031121303101011230210030010001...

66/191=0,11201311330221203023232210312330332333222203201023003223321103012113131021231321331333111013002...

67/191=0,11213031010112302100300100011113013231033011001223032122020231210201200200022232033122132022003...

68/191=0,11230210030010001111301323103301100122303212202023121020120020002223203312213202200311213031010...

69/191=0,11301323103301100122303212202023121020120020002223203312213202200311213031010112302100300100011...

70/191=0,11313102123132133133311101300211201311330221203023232210312330332333222203201023003223321103012...

71/191=0,11330221203023232210312330332333222203201023003223321103012113131021231321331333111013002112013...

72/191=0,12002000222320331221320220031121303101011230210030010001111301323103301100122303212202023121020...

73/191=0,12013113302212030232322103123303323332222032010230032233211030121131310212313213313331110130021...

74/191=0,12030232322103123303323332222032010230032233211030121131310212313213313331110130021120131133022...

75/191=0,12102012002000222320331221320220031121303101011230210030010001111301323103301100122303212202023...

76/191=0,12113131021231321331333111013002112013113302212030232322103123303323332222032010230032233211030...

77/191=0,12130310101123021003001000111130132310330110012230321220202312102012002000222320331221320220031...

78/191=0,12202023121020120020002223203312213202200311213031010112302100300100011113013231033011001223032...

79/191=0,12213202200311213031010112302100300100011113013231033011001223032122020231210201200200022232033...

80/191=0,12230321220202312102012002000222320331221320220031121303101011230210030010001111301323103301100...

81/191=0,12302100300100011113013231033011001223032122020231210201200200022232033122132022003112130310101...

82/191=0,12313213313331110130021120131133022120302323221031233033233322220320102300322332110301211313102...

83/191=0,12330332333222203201023003223321103012113131021231321331333111013002112013113302212030232322103...

84/191=0,13002112013113302212030232322103123303323332222032010230032233211030121131310212313213313331110...

85/191=0,13013231033011001223032122020231210201200200022232033122132022003112130310101123021003001000111...

86/191=0,13031010112302100300100011113013231033011001223032122020231210201200200022232033122132022003112...

87/191=0,13102123132133133311101300211201311330221203023232210312330332333222203201023003223321103012113...

88/191=0,13113302212030232322103123303323332222032010230032233211030121131310212313213313331110130021120...

89/191=0,13131021231321331333111013002112013113302212030232322103123303323332222032010230032233211030121...

90/191=0,13202200311213031010112302100300100011113013231033011001223032122020231210201200200022232033122...

91/191=0,13213313331110130021120131133022120302323221031233033233322220320102300322332110301211313102123...

92/191=0,13231033011001223032122020231210201200200022232033122132022003112130310101123021003001000111130...

93/191=0,13302212030232322103123303323332222032010230032233211030121131310212313213313331110130021120131...

94/191=0,13313331110130021120131133022120302323221031233033233322220320102300322332110301211313102123132...

95/191=0,13331110130021120131133022120302323221031233033233322220320102300322332110301211313102123132133...

96/191=0,20002223203312213202200311213031010112302100300100011113013231033011001223032122020231210201200...

97/191=0,20020002223203312213202200311213031010112302100300100011113013231033011001223032122020231210201...

98/191=0,20031121303101011230210030010001111301323103301100122303212202023121020120020002223203312213202...

99/191=0,20102300322332110301211313102123132133133311101300211201311330221203023232210312330332333222203...

100/191=0,20120020002223203312213202200311213031010112302100300100011113013231033011001223032122020231210...

101/191=0,20131133022120302323221031233033233322220320102300322332110301211313102123132133133311101300211...

102/191=0,20202312102012002000222320331221320220031121303101011230210030010001111301323103301100122303212...

103/191=0,20220031121303101011230210030010001111301323103301100122303212202023121020120020002223203312213...

104/191=0,20231210201200200022232033122132022003112130310101123021003001000111130132310330110012230321220...

105/191=0,20302323221031233033233322220320102300322332110301211313102123132133133311101300211201311330221...

106/191=0,20320102300322332110301211313102123132133133311101300211201311330221203023232210312330332333222...

107/191=0,20331221320220031121303101011230210030010001111301323103301100122303212202023121020120020002223...

108/191=0,21003001000111130132310330110012230321220202312102012002000222320331221320220031121303101011230...

109/191=0,21020120020002223203312213202200311213031010112302100300100011113013231033011001223032122020231...

110/191=0,21031233033233322220320102300322332110301211313102123132133133311101300211201311330221203023232...

111/191=0,21103012113131021231321331333111013002112013113302212030232322103123303323332222032010230032233...

112/191=0,21120131133022120302323221031233033233322220320102300322332110301211313102123132133133311101300...

113/191=0,21131310212313213313331110130021120131133022120302323221031233033233322220320102300322332110301...

114/191=0,21203023232210312330332333222203201023003223321103012113131021231321331333111013002112013113302...

115/191=0,21220202312102012002000222320331221320220031121303101011230210030010001111301323103301100122303...

116/191=0,21231321331333111013002112013113302212030232322103123303323332222032010230032233211030121131310...

117/191=0,21303101011230210030010001111301323103301100122303212202023121020120020002223203312213202200311...

118/191=0,21320220031121303101011230210030010001111301323103301100122303212202023121020120020002223203312...

119/191=0,21331333111013002112013113302212030232322103123303323332222032010230032233211030121131310212313...

120/191=0,22003112130310101123021003001000111130132310330110012230321220202312102012002000222320331221320...

121/191=0,22020231210201200200022232033122132022003112130310101123021003001000111130132310330110012230321...

122/191=0,22032010230032233211030121131310212313213313331110130021120131133022120302323221031233033233322...

123/191=0,22103123303323332222032010230032233211030121131310212313213313331110130021120131133022120302323...

124/191=0,22120302323221031233033233322220320102300322332110301211313102123132133133311101300211201311330...

125/191=0,22132022003112130310101123021003001000111130132310330110012230321220202312102012002000222320331...

126/191=0,22203201023003223321103012113131021231321331333111013002112013113302212030232322103123303323332...

127/191=0,22220320102300322332110301211313102123132133133311101300211201311330221203023232210312330332333...

128/191=0,22232033122132022003112130310101123021003001000111130132310330110012230321220202312102012002000...

129/191=0,22303212202023121020120020002223203312213202200311213031010112302100300100011113013231033011001...

130/191=0,22320331221320220031121303101011230210030010001111301323103301100122303212202023121020120020002...

131/191=0,22332110301211313102123132133133311101300211201311330221203023232210312330332333222203201023003...

132/191=0,23003223321103012113131021231321331333111013002112013113302212030232322103123303323332222032010...

133/191=0,23021003001000111130132310330110012230321220202312102012002000222320331221320220031121303101011...

134/191=0,23032122020231210201200200022232033122132022003112130310101123021003001000111130132310330110012...

135/191=0,23103301100122303212202023121020120020002223203312213202200311213031010112302100300100011113013...

136/191=0,23121020120020002223203312213202200311213031010112302100300100011113013231033011001223032122020...

137/191=0,23132133133311101300211201311330221203023232210312330332333222203201023003223321103012113131021...

138/191=0,23203312213202200311213031010112302100300100011113013231033011001223032122020231210201200200022...

139/191=0,23221031233033233322220320102300322332110301211313102123132133133311101300211201311330221203023...

140/191=0,23232210312330332333222203201023003223321103012113131021231321331333111013002112013113302212030...

141/191=0,23303323332222032010230032233211030121131310212313213313331110130021120131133022120302323221031...

142/191=0,23321103012113131021231321331333111013002112013113302212030232322103123303323332222032010230032...

143/191=0,23332222032010230032233211030121131310212313213313331110130021120131133022120302323221031233033...

144/191=0,30010001111301323103301100122303212202023121020120020002223203312213202200311213031010112302100...

145/191=0,30021120131133022120302323221031233033233322220320102300322332110301211313102123132133133311101...

146/191=0,30032233211030121131310212313213313331110130021120131133022120302323221031233033233322220320102...

147/191=0,30110012230321220202312102012002000222320331221320220031121303101011230210030010001111301323103...

148/191=0,30121131310212313213313331110130021120131133022120302323221031233033233322220320102300322332110...

149/191=0,30132310330110012230321220202312102012002000222320331221320220031121303101011230210030010001111...

150/191=0,30210030010001111301323103301100122303212202023121020120020002223203312213202200311213031010112...

151/191=0,30221203023232210312330332333222203201023003223321103012113131021231321331333111013002112013113...

152/191=0,30232322103123303323332222032010230032233211030121131310212313213313331110130021120131133022120...

153/191=0,30310101123021003001000111130132310330110012230321220202312102012002000222320331221320220031121...

154/191=0,30321220202312102012002000222320331221320220031121303101011230210030010001111301323103301100122...

155/191=0,30332333222203201023003223321103012113131021231321331333111013002112013113302212030232322103123...

156/191=0,31010112302100300100011113013231033011001223032122020231210201200200022232033122132022003112130...

157/191=0,31021231321331333111013002112013113302212030232322103123303323332222032010230032233211030121131...

158/191=0,31033011001223032122020231210201200200022232033122132022003112130310101123021003001000111130132...

159/191=0,31110130021120131133022120302323221031233033233322220320102300322332110301211313102123132133133...

160/191=0,31121303101011230210030010001111301323103301100122303212202023121020120020002223203312213202200...

161/191=0,31133022120302323221031233033233322220320102300322332110301211313102123132133133311101300211201...

162/191=0,31210201200200022232033122132022003112130310101123021003001000111130132310330110012230321220202...

163/191=0,31221320220031121303101011230210030010001111301323103301100122303212202023121020120020002223203...

164/191=0,31233033233322220320102300322332110301211313102123132133133311101300211201311330221203023232210...

165/191=0,31310212313213313331110130021120131133022120302323221031233033233322220320102300322332110301211...

166/191=0,31321331333111013002112013113302212030232322103123303323332222032010230032233211030121131310212...

167/191=0,31333111013002112013113302212030232322103123303323332222032010230032233211030121131310212313213...

168/191=0,32010230032233211030121131310212313213313331110130021120131133022120302323221031233033233322220...

169/191=0,32022003112130310101123021003001000111130132310330110012230321220202312102012002000222320331221...

170/191=0,32033122132022003112130310101123021003001000111130132310330110012230321220202312102012002000222...

171/191=0,32110301211313102123132133133311101300211201311330221203023232210312330332333222203201023003223...

172/191=0,32122020231210201200200022232033122132022003112130310101123021003001000111130132310330110012230...

173/191=0,32133133311101300211201311330221203023232210312330332333222203201023003223321103012113131021231...

174/191=0,32210312330332333222203201023003223321103012113131021231321331333111013002112013113302212030232...

175/191=0,32222032010230032233211030121131310212313213313331110130021120131133022120302323221031233033233...

176/191=0,32233211030121131310212313213313331110130021120131133022120302323221031233033233322220320102300...

177/191=0,32310330110012230321220202312102012002000222320331221320220031121303101011230210030010001111301...

178/191=0,32322103123303323332222032010230032233211030121131310212313213313331110130021120131133022120302...

179/191=0,32333222203201023003223321103012113131021231321331333111013002112013113302212030232322103123303...

180/191=0,33011001223032122020231210201200200022232033122132022003112130310101123021003001000111130132310...

181/191=0,33022120302323221031233033233322220320102300322332110301211313102123132133133311101300211201311...

182/191=0,33033233322220320102300322332110301211313102123132133133311101300211201311330221203023232210312...

183/191=0,33111013002112013113302212030232322103123303323332222032010230032233211030121131310212313213313...

184/191=0,33122132022003112130310101123021003001000111130132310330110012230321220202312102012002000222320...

185/191=0,33133311101300211201311330221203023232210312330332333222203201023003223321103012113131021231321...

186/191=0,33211030121131310212313213313331110130021120131133022120302323221031233033233322220320102300322...

187/191=0,33222203201023003223321103012113131021231321331333111013002112013113302212030232322103123303323...

188/191=0,33233322220320102300322332110301211313102123132133133311101300211201311330221203023232210312330...

189/191=0,33311101300211201311330221203023232210312330332333222203201023003223321103012113131021231321331...

190/191=0,33322220320102300322332110301211313102123132133133311101300211201311330221203023232210312330332...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (95) est égal à 190 et donc au premier -1.