Liste des fractions de n/163 en base 4.

Il existe 2 périodes de 81 chiffres pour n/163 en base 4.

Pour toutes les fractions de n/163 en base 4, la période de 1/163 revient alors 81 fois (en orange)

1/163=0,000121020033231021310032020220311121201113330312332002112301132032322321110303311...

2/163=0,000302100133122103220130101101222303002233321231330010231202330131311302221213222...

3/163=0,001023120233013131130222121322200030210013312210322013010110122230300223332123133...

4/163=0,001210200332310213100320202203111212011133303123320021123011320323223211103033110...

5/163=0,001331221032201301011012223030022333212313300102312023301313113022212132220003021...

6/163=0,002112301132032322321110303311000121020033231021310032020220311121201113330312332...

7/163=0,002233321231330010231202330131311302221213222000302100133122103220130101101222303...

8/163=0,003021001331221032201301011012223030022333212313300102312023301313113022212132220...

9/163=0,003202022031112120111333031233200211230113203232232111030331100012102003323102131...

10/163=0,003323102131003202022031112120111333031233200211230113203232232111030331100012102...

11/163=0,010110122230300223332123133001023120233013131130222121322200030210013312210322013...

12/163=0,010231202330131311302221213222000302100133122103220130101101222303002233321231330...

13/163=0,011012223030022333212313300102312023301313113022212132220003021001331221032201301...

14/163=0,011133303123320021123011320323223211103033110001210200332310213100320202203111212...

15/163=0,011320323223211103033110001210200332310213100320202203111212011133303123320021123...

16/163=0,012102003323102131003202022031112120111333031233200211230113203232232111030331100...

17/163=0,012223030022333212313300102312023301313113022212132220003021001331221032201301011...

18/163=0,013010110122230300223332123133001023120233013131130222121322200030210013312210322...

19/163=0,013131130222121322200030210013312210322013010110122230300223332123133001023120233...

20/163=0,013312210322013010110122230300223332123133001023120233013131130222121322200030210...

21/163=0,020033231021310032020220311121201113330312332002112301132032322321110303311000121...

22/163=0,020220311121201113330312332002112301132032322321110303311000121020033231021310032...

23/163=0,021001331221032201301011012223030022333212313300102312023301313113022212132220003...

24/163=0,021123011320323223211103033110001210200332310213100320202203111212011133303123320...

25/163=0,021310032020220311121201113330312332002112301132032322321110303311000121020033231...

26/163=0,022031112120111333031233200211230113203232232111030331100012102003323102131003202...

27/163=0,022212132220003021001331221032201301011012223030022333212313300102312023301313113...

28/163=0,022333212313300102312023301313113022212132220003021001331221032201301011012223030...

29/163=0,023120233013131130222121322200030210013312210322013010110122230300223332123133001...

30/163=0,023301313113022212132220003021001331221032201301011012223030022333212313300102312...

31/163=0,030022333212313300102312023301313113022212132220003021001331221032201301011012223...

32/163=0,030210013312210322013010110122230300223332123133001023120233013131130222121322200...

33/163=0,030331100012102003323102131003202022031112120111333031233200211230113203232232111...

34/163=0,031112120111333031233200211230113203232232111030331100012102003323102131003202022...

35/163=0,031233200211230113203232232111030331100012102003323102131003202022031112120111333...

36/163=0,032020220311121201113330312332002112301132032322321110303311000121020033231021310...

37/163=0,032201301011012223030022333212313300102312023301313113022212132220003021001331221...

38/163=0,032322321110303311000121020033231021310032020220311121201113330312332002112301132...

39/163=0,033110001210200332310213100320202203111212011133303123320021123011320323223211103...

40/163=0,033231021310032020220311121201113330312332002112301132032322321110303311000121020...

41/163=0,100012102003323102131003202022031112120111333031233200211230113203232232111030331...

42/163=0,100133122103220130101101222303002233321231330010231202330131311302221213222000302...

43/163=0,100320202203111212011133303123320021123011320323223211103033110001210200332310213...

44/163=0,101101222303002233321231330010231202330131311302221213222000302100133122103220130...

45/163=0,101222303002233321231330010231202330131311302221213222000302100133122103220130101...

46/163=0,102003323102131003202022031112120111333031233200211230113203232232111030331100012...

47/163=0,102131003202022031112120111333031233200211230113203232232111030331100012102003323...

48/163=0,102312023301313113022212132220003021001331221032201301011012223030022333212313300...

49/163=0,103033110001210200332310213100320202203111212011133303123320021123011320323223211...

50/163=0,103220130101101222303002233321231330010231202330131311302221213222000302100133122...

51/163=0,110001210200332310213100320202203111212011133303123320021123011320323223211103033...

52/163=0,110122230300223332123133001023120233013131130222121322200030210013312210322013010...

53/163=0,110303311000121020033231021310032020220311121201113330312332002112301132032322321...

54/163=0,111030331100012102003323102131003202022031112120111333031233200211230113203232232...

55/163=0,111212011133303123320021123011320323223211103033110001210200332310213100320202203...

56/163=0,111333031233200211230113203232232111030331100012102003323102131003202022031112120...

57/163=0,112120111333031233200211230113203232232111030331100012102003323102131003202022031...

58/163=0,112301132032322321110303311000121020033231021310032020220311121201113330312332002...

59/163=0,113022212132220003021001331221032201301011012223030022333212313300102312023301313...

60/163=0,113203232232111030331100012102003323102131003202022031112120111333031233200211230...

61/163=0,113330312332002112301132032322321110303311000121020033231021310032020220311121201...

62/163=0,120111333031233200211230113203232232111030331100012102003323102131003202022031112...

63/163=0,120233013131130222121322200030210013312210322013010110122230300223332123133001023...

64/163=0,121020033231021310032020220311121201113330312332002112301132032322321110303311000...

65/163=0,121201113330312332002112301132032322321110303311000121020033231021310032020220311...

66/163=0,121322200030210013312210322013010110122230300223332123133001023120233013131130222...

67/163=0,122103220130101101222303002233321231330010231202330131311302221213222000302100133...

68/163=0,122230300223332123133001023120233013131130222121322200030210013312210322013010110...

69/163=0,123011320323223211103033110001210200332310213100320202203111212011133303123320021...

70/163=0,123133001023120233013131130222121322200030210013312210322013010110122230300223332...

71/163=0,123320021123011320323223211103033110001210200332310213100320202203111212011133303...

72/163=0,130101101222303002233321231330010231202330131311302221213222000302100133122103220...

73/163=0,130222121322200030210013312210322013010110122230300223332123133001023120233013131...

74/163=0,131003202022031112120111333031233200211230113203232232111030331100012102003323102...

75/163=0,131130222121322200030210013312210322013010110122230300223332123133001023120233013...

76/163=0,131311302221213222000302100133122103220130101101222303002233321231330010231202330...

77/163=0,132032322321110303311000121020033231021310032020220311121201113330312332002112301...

78/163=0,132220003021001331221032201301011012223030022333212313300102312023301313113022212...

79/163=0,133001023120233013131130222121322200030210013312210322013010110122230300223332123...

80/163=0,133122103220130101101222303002233321231330010231202330131311302221213222000302100...

81/163=0,133303123320021123011320323223211103033110001210200332310213100320202203111212011...

82/163=0,200030210013312210322013010110122230300223332123133001023120233013131130222121322...

83/163=0,200211230113203232232111030331100012102003323102131003202022031112120111333031233...

84/163=0,200332310213100320202203111212011133303123320021123011320323223211103033110001210...

85/163=0,201113330312332002112301132032322321110303311000121020033231021310032020220311121...

86/163=0,201301011012223030022333212313300102312023301313113022212132220003021001331221032...

87/163=0,202022031112120111333031233200211230113203232232111030331100012102003323102131003...

88/163=0,202203111212011133303123320021123011320323223211103033110001210200332310213100320...

89/163=0,202330131311302221213222000302100133122103220130101101222303002233321231330010231...

90/163=0,203111212011133303123320021123011320323223211103033110001210200332310213100320202...

91/163=0,203232232111030331100012102003323102131003202022031112120111333031233200211230113...

92/163=0,210013312210322013010110122230300223332123133001023120233013131130222121322200030...

93/163=0,210200332310213100320202203111212011133303123320021123011320323223211103033110001...

94/163=0,210322013010110122230300223332123133001023120233013131130222121322200030210013312...

95/163=0,211103033110001210200332310213100320202203111212011133303123320021123011320323223...

96/163=0,211230113203232232111030331100012102003323102131003202022031112120111333031233200...

97/163=0,212011133303123320021123011320323223211103033110001210200332310213100320202203111...

98/163=0,212132220003021001331221032201301011012223030022333212313300102312023301313113022...

99/163=0,212313300102312023301313113022212132220003021001331221032201301011012223030022333...

100/163=0,213100320202203111212011133303123320021123011320323223211103033110001210200332310...

101/163=0,213222000302100133122103220130101101222303002233321231330010231202330131311302221...

102/163=0,220003021001331221032201301011012223030022333212313300102312023301313113022212132...

103/163=0,220130101101222303002233321231330010231202330131311302221213222000302100133122103...

104/163=0,220311121201113330312332002112301132032322321110303311000121020033231021310032020...

105/163=0,221032201301011012223030022333212313300102312023301313113022212132220003021001331...

106/163=0,221213222000302100133122103220130101101222303002233321231330010231202330131311302...

107/163=0,222000302100133122103220130101101222303002233321231330010231202330131311302221213...

108/163=0,222121322200030210013312210322013010110122230300223332123133001023120233013131130...

109/163=0,222303002233321231330010231202330131311302221213222000302100133122103220130101101...

110/163=0,223030022333212313300102312023301313113022212132220003021001331221032201301011012...

111/163=0,223211103033110001210200332310213100320202203111212011133303123320021123011320323...

112/163=0,223332123133001023120233013131130222121322200030210013312210322013010110122230300...

113/163=0,230113203232232111030331100012102003323102131003202022031112120111333031233200211...

114/163=0,230300223332123133001023120233013131130222121322200030210013312210322013010110122...

115/163=0,231021310032020220311121201113330312332002112301132032322321110303311000121020033...

116/163=0,231202330131311302221213222000302100133122103220130101101222303002233321231330010...

117/163=0,231330010231202330131311302221213222000302100133122103220130101101222303002233321...

118/163=0,232111030331100012102003323102131003202022031112120111333031233200211230113203232...

119/163=0,232232111030331100012102003323102131003202022031112120111333031233200211230113203...

120/163=0,233013131130222121322200030210013312210322013010110122230300223332123133001023120...

121/163=0,233200211230113203232232111030331100012102003323102131003202022031112120111333031...

122/163=0,233321231330010231202330131311302221213222000302100133122103220130101101222303002...

123/163=0,300102312023301313113022212132220003021001331221032201301011012223030022333212313...

124/163=0,300223332123133001023120233013131130222121322200030210013312210322013010110122230...

125/163=0,301011012223030022333212313300102312023301313113022212132220003021001331221032201...

126/163=0,301132032322321110303311000121020033231021310032020220311121201113330312332002112...

127/163=0,301313113022212132220003021001331221032201301011012223030022333212313300102312023...

128/163=0,302100133122103220130101101222303002233321231330010231202330131311302221213222000...

129/163=0,302221213222000302100133122103220130101101222303002233321231330010231202330131311...

130/163=0,303002233321231330010231202330131311302221213222000302100133122103220130101101222...

131/163=0,303123320021123011320323223211103033110001210200332310213100320202203111212011133...

132/163=0,303311000121020033231021310032020220311121201113330312332002112301132032322321110...

133/163=0,310032020220311121201113330312332002112301132032322321110303311000121020033231021...

134/163=0,310213100320202203111212011133303123320021123011320323223211103033110001210200332...

135/163=0,311000121020033231021310032020220311121201113330312332002112301132032322321110303...

136/163=0,311121201113330312332002112301132032322321110303311000121020033231021310032020220...

137/163=0,311302221213222000302100133122103220130101101222303002233321231330010231202330131...

138/163=0,312023301313113022212132220003021001331221032201301011012223030022333212313300102...

139/163=0,312210322013010110122230300223332123133001023120233013131130222121322200030210013...

140/163=0,312332002112301132032322321110303311000121020033231021310032020220311121201113330...

141/163=0,313113022212132220003021001331221032201301011012223030022333212313300102312023301...

142/163=0,313300102312023301313113022212132220003021001331221032201301011012223030022333212...

143/163=0,320021123011320323223211103033110001210200332310213100320202203111212011133303123...

144/163=0,320202203111212011133303123320021123011320323223211103033110001210200332310213100...

145/163=0,320323223211103033110001210200332310213100320202203111212011133303123320021123011...

146/163=0,321110303311000121020033231021310032020220311121201113330312332002112301132032322...

147/163=0,321231330010231202330131311302221213222000302100133122103220130101101222303002233...

148/163=0,322013010110122230300223332123133001023120233013131130222121322200030210013312210...

149/163=0,322200030210013312210322013010110122230300223332123133001023120233013131130222121...

150/163=0,322321110303311000121020033231021310032020220311121201113330312332002112301132032...

151/163=0,323102131003202022031112120111333031233200211230113203232232111030331100012102003...

152/163=0,323223211103033110001210200332310213100320202203111212011133303123320021123011320...

153/163=0,330010231202330131311302221213222000302100133122103220130101101222303002233321231...

154/163=0,330131311302221213222000302100133122103220130101101222303002233321231330010231202...

155/163=0,330312332002112301132032322321110303311000121020033231021310032020220311121201113...

156/163=0,331100012102003323102131003202022031112120111333031233200211230113203232232111030...

157/163=0,331221032201301011012223030022333212313300102312023301313113022212132220003021001...

158/163=0,332002112301132032322321110303311000121020033231021310032020220311121201113330312...

159/163=0,332123133001023120233013131130222121322200030210013312210322013010110122230300223...

160/163=0,332310213100320202203111212011133303123320021123011320323223211103033110001210200...

161/163=0,333031233200211230113203232232111030331100012102003323102131003202022031112120111...

162/163=0,333212313300102312023301313113022212132220003021001331221032201301011012223030022...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (81) est égal à 162 et donc au premier -1.