Liste des fractions de n/131 en base 4.

Il existe 2 périodes de 65 chiffres pour n/131 en base 4.

Pour toutes les fractions de n/131 en base 4, la période de 1/131 revient alors 65 fois (en orange)

1/131=0,00013310101211213210221002130111133300113130310300312231323013111...

2/131=0,00033220203023033021102010320222333200232321221201231123312032222...

3/131=0,00113130310300312231323013111000133101012112132102210021301111333...

4/131=0,00133101012112132102210021301111333001131303103003122313230131110...

5/131=0,00213011113330011313031030031223132301311100013310101211213210221...

6/131=0,00232321221201231123312032222000332202030230330211020103202223332...

7/131=0,00312231323013111000133101012112132102210021301111333001131303103...

8/131=0,00332202030230330211020103202223332002323212212012311233120322220...

9/131=0,01012112132102210021301111333001131303103003122313230131110001331...

10/131=0,01032022233320023232122120123112331203222200033220203023033021102...

11/131=0,01111333001131303103003122313230131110001331010121121321022100213...

12/131=0,01131303103003122313230131110001331010121121321022100213011113330...

13/131=0,01211213210221002130111133300113130310300312231323013111000133101...

14/131=0,01231123312032222000332202030230330211020103202223332002323212212...

15/131=0,01311100013310101211213210221002130111133300113130310300312231323...

16/131=0,01331010121121321022100213011113330011313031030031223132301311100...

17/131=0,02010320222333200232321221201231123312032222000332202030230330211...

18/131=0,02030230330211020103202223332002323212212012311233120322220003322...

19/131=0,02110201032022233320023232122120123112331203222200033220203023033...

20/131=0,02130111133300113130310300312231323013111000133101012112132102210...

21/131=0,02210021301111333001131303103003122313230131110001331010121121321...

22/131=0,02223332002323212212012311233120322220003322020302303302110201032...

23/131=0,02303302110201032022233320023232122120123112331203222200033220203...

24/131=0,02323212212012311233120322220003322020302303302110201032022233320...

25/131=0,03003122313230131110001331010121121321022100213011113330011313031...

26/131=0,03023033021102010320222333200232321221201231123312032222000332202...

27/131=0,03103003122313230131110001331010121121321022100213011113330011313...

28/131=0,03122313230131110001331010121121321022100213011113330011313031030...

29/131=0,03202223332002323212212012311233120322220003322020302303302110201...

30/131=0,03222200033220203023033021102010320222333200232321221201231123312...

31/131=0,03302110201032022233320023232122120123112331203222200033220203023...

32/131=0,03322020302303302110201032022233320023232122120123112331203222200...

33/131=0,10001331010121121321022100213011113330011313031030031223132301311...

34/131=0,10021301111333001131303103003122313230131110001331010121121321022...

35/131=0,10101211213210221002130111133300113130310300312231323013111000133...

36/131=0,10121121321022100213011113330011313031030031223132301311100013310...

37/131=0,10201032022233320023232122120123112331203222200033220203023033021...

38/131=0,10221002130111133300113130310300312231323013111000133101012112132...

39/131=0,10300312231323013111000133101012112132102210021301111333001131303...

40/131=0,10320222333200232321221201231123312032222000332202030230330211020...

41/131=0,11000133101012112132102210021301111333001131303103003122313230131...

42/131=0,11020103202223332002323212212012311233120322220003322020302303302...

43/131=0,11100013310101211213210221002130111133300113130310300312231323013...

44/131=0,11113330011313031030031223132301311100013310101211213210221002130...

45/131=0,11133300113130310300312231323013111000133101012112132102210021301...

46/131=0,11213210221002130111133300113130310300312231323013111000133101012...

47/131=0,11233120322220003322020302303302110201032022233320023232122120123...

48/131=0,11313031030031223132301311100013310101211213210221002130111133300...

49/131=0,11333001131303103003122313230131110001331010121121321022100213011...

50/131=0,12012311233120322220003322020302303302110201032022233320023232122...

51/131=0,12032222000332202030230330211020103202223332002323212212012311233...

52/131=0,12112132102210021301111333001131303103003122313230131110001331010...

53/131=0,12132102210021301111333001131303103003122313230131110001331010121...

54/131=0,12212012311233120322220003322020302303302110201032022233320023232...

55/131=0,12231323013111000133101012112132102210021301111333001131303103003...

56/131=0,12311233120322220003322020302303302110201032022233320023232122120...

57/131=0,12331203222200033220203023033021102010320222333200232321221201231...

58/131=0,13011113330011313031030031223132301311100013310101211213210221002...

59/131=0,13031030031223132301311100013310101211213210221002130111133300113...

60/131=0,13111000133101012112132102210021301111333001131303103003122313230...

61/131=0,13130310300312231323013111000133101012112132102210021301111333001...

62/131=0,13210221002130111133300113130310300312231323013111000133101012112...

63/131=0,13230131110001331010121121321022100213011113330011313031030031223...

64/131=0,13310101211213210221002130111133300113130310300312231323013111000...

65/131=0,13330011313031030031223132301311100013310101211213210221002130111...

66/131=0,20003322020302303302110201032022233320023232122120123112331203222...

67/131=0,20023232122120123112331203222200033220203023033021102010320222333...

68/131=0,20103202223332002323212212012311233120322220003322020302303302110...

69/131=0,20123112331203222200033220203023033021102010320222333200232321221...

70/131=0,20203023033021102010320222333200232321221201231123312032222000332...

71/131=0,20222333200232321221201231123312032222000332202030230330211020103...

72/131=0,20302303302110201032022233320023232122120123112331203222200033220...

73/131=0,20322220003322020302303302110201032022233320023232122120123112331...

74/131=0,21002130111133300113130310300312231323013111000133101012112132102...

75/131=0,21022100213011113330011313031030031223132301311100013310101211213...

76/131=0,21102010320222333200232321221201231123312032222000332202030230330...

77/131=0,21121321022100213011113330011313031030031223132301311100013310101...

78/131=0,21201231123312032222000332202030230330211020103202223332002323212...

79/131=0,21221201231123312032222000332202030230330211020103202223332002323...

80/131=0,21301111333001131303103003122313230131110001331010121121321022100...

81/131=0,21321022100213011113330011313031030031223132301311100013310101211...

82/131=0,22000332202030230330211020103202223332002323212212012311233120322...

83/131=0,22020302303302110201032022233320023232122120123112331203222200033...

84/131=0,22100213011113330011313031030031223132301311100013310101211213210...

85/131=0,22120123112331203222200033220203023033021102010320222333200232321...

86/131=0,22200033220203023033021102010320222333200232321221201231123312032...

87/131=0,22220003322020302303302110201032022233320023232122120123112331203...

88/131=0,22233320023232122120123112331203222200033220203023033021102010320...

89/131=0,22313230131110001331010121121321022100213011113330011313031030031...

90/131=0,22333200232321221201231123312032222000332202030230330211020103202...

91/131=0,23013111000133101012112132102210021301111333001131303103003122313...

92/131=0,23033021102010320222333200232321221201231123312032222000332202030...

93/131=0,23112331203222200033220203023033021102010320222333200232321221201...

94/131=0,23132301311100013310101211213210221002130111133300113130310300312...

95/131=0,23212212012311233120322220003322020302303302110201032022233320023...

96/131=0,23232122120123112331203222200033220203023033021102010320222333200...

97/131=0,23312032222000332202030230330211020103202223332002323212212012311...

98/131=0,23332002323212212012311233120322220003322020302303302110201032022...

99/131=0,30011313031030031223132301311100013310101211213210221002130111133...

100/131=0,30031223132301311100013310101211213210221002130111133300113130310...

101/131=0,30111133300113130310300312231323013111000133101012112132102210021...

102/131=0,30131110001331010121121321022100213011113330011313031030031223132...

103/131=0,30211020103202223332002323212212012311233120322220003322020302303...

104/131=0,30230330211020103202223332002323212212012311233120322220003322020...

105/131=0,30310300312231323013111000133101012112132102210021301111333001131...

106/131=0,30330211020103202223332002323212212012311233120322220003322020302...

107/131=0,31010121121321022100213011113330011313031030031223132301311100013...

108/131=0,31030031223132301311100013310101211213210221002130111133300113130...

109/131=0,31110001331010121121321022100213011113330011313031030031223132301...

110/131=0,31123312032222000332202030230330211020103202223332002323212212012...

111/131=0,31203222200033220203023033021102010320222333200232321221201231123...

112/131=0,31223132301311100013310101211213210221002130111133300113130310300...

113/131=0,31303103003122313230131110001331010121121321022100213011113330011...

114/131=0,31323013111000133101012112132102210021301111333001131303103003122...

115/131=0,32002323212212012311233120322220003322020302303302110201032022233...

116/131=0,32022233320023232122120123112331203222200033220203023033021102010...

117/131=0,32102210021301111333001131303103003122313230131110001331010121121...

118/131=0,32122120123112331203222200033220203023033021102010320222333200232...

119/131=0,32202030230330211020103202223332002323212212012311233120322220003...

120/131=0,32222000332202030230330211020103202223332002323212212012311233120...

121/131=0,32301311100013310101211213210221002130111133300113130310300312231...

122/131=0,32321221201231123312032222000332202030230330211020103202223332002...

123/131=0,33001131303103003122313230131110001331010121121321022100213011113...

124/131=0,33021102010320222333200232321221201231123312032222000332202030230...

125/131=0,33101012112132102210021301111333001131303103003122313230131110001...

126/131=0,33120322220003322020302303302110201032022233320023232122120123112...

127/131=0,33200232321221201231123312032222000332202030230330211020103202223...

128/131=0,33220203023033021102010320222333200232321221201231123312032222000...

129/131=0,33300113130310300312231323013111000133101012112132102210021301111...

130/131=0,33320023232122120123112331203222200033220203023033021102010320222...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (65) est égal à 130 et donc au premier -1.