Liste des fractions de n/131 en base 3.

Il existe 2 périodes de 65 chiffres pour n/131 en base 3.

Pour toutes les fractions de n/131 en base 3, la période de 1/131 revient alors 65 fois (en orange)

1/131=0,00001212002021012202211001102221202121111012011010022001000211021...

2/131=0,00010201011112102112122002212220112012222101022020121002001122112...

3/131=0,00012120020210122022110011022212021211110120110100220010002110210...

4/131=0,00021102100001212002021012202211001102221202121111012011010022001...

5/131=0,00100021102100001212002021012202211001102221202121111012011010022...

6/131=0,00102010111121021121220022122201120122221010220201210020011221120...

7/131=0,00110222120212111101201101002200100021102100001212002021012202211...

8/131=0,00112211200010201011112102112122002212220112012222101022020121002...

9/131=0,00121200202101220221100110222120212111101201101002200100021102100...

10/131=0,00200112211200010201011112102112122002212220112012222101022020121...

11/131=0,00202101220221100110222120212111101201101002200100021102100001212...

12/131=0,00211021000012120020210122022110011022212021211110120110100220010...

13/131=0,00220010002110210000121200202101220221100110222120212111101201101...

14/131=0,00221222011201222210102202012100200112211200010201011112102112122...

15/131=0,01000211021000012120020210122022110011022212021211110120110100220...

16/131=0,01002200100021102100001212002021012202211001102221202121111012011...

17/131=0,01011112102112122002212220112012222101022020121002001122112000102...

18/131=0,01020101111210211212200221222011201222210102202012100200112211200...

19/131=0,01022020121002001122112000102010111121021121220022122201120122221...

20/131=0,01101002200100021102100001212002021012202211001102221202121111012...

21/131=0,01102221202121111012011010022001000211021000012120020210122022110...

22/131=0,01111210211212200221222011201222210102202012100200112211200010201...

23/131=0,01120122221010220201210020011221120001020101111210211212200221222...

24/131=0,01122112000102010111121021121220022122201120122221010220201210020...

25/131=0,01201101002200100021102100001212002021012202211001102221202121111...

26/131=0,01210020011221120001020101111210211212200221222011201222210102202...

27/131=0,01212002021012202211001102221202121111012011010022001000211021000...

28/131=0,01220221100110222120212111101201101002200100021102100001212002021...

29/131=0,01222210102202012100200112211200010201011112102112122002212220112...

30/131=0,02001122112000102010111121021121220022122201120122221010220201210...

31/131=0,02010111121021121220022122201120122221010220201210020011221120001...

32/131=0,02012100200112211200010201011112102112122002212220112012222101022...

33/131=0,02021012202211001102221202121111012011010022001000211021000012120...

34/131=0,02100001212002021012202211001102221202121111012011010022001000211...

35/131=0,02101220221100110222120212111101201101002200100021102100001212002...

36/131=0,02110210000121200202101220221100110222120212111101201101002200100...

37/131=0,02112122002212220112012222101022020121002001122112000102010111121...

38/131=0,02121111012011010022001000211021000012120020210122022110011022212...

39/131=0,02200100021102100001212002021012202211001102221202121111012011010...

40/131=0,02202012100200112211200010201011112102112122002212220112012222101...

41/131=0,02211001102221202121111012011010022001000211021000012120020210122...

42/131=0,02212220112012222101022020121002001122112000102010111121021121220...

43/131=0,02221202121111012011010022001000211021000012120020210122022110011...

44/131=0,10000121200202101220221100110222120212111101201101002200100021102...

45/131=0,10002110210000121200202101220221100110222120212111101201101002200...

46/131=0,10011022212021211110120110100220010002110210000121200202101220221...

47/131=0,10020011221120001020101111210211212200221222011201222210102202012...

48/131=0,10022001000211021000012120020210122022110011022212021211110120110...

49/131=0,10100220010002110210000121200202101220221100110222120212111101201...

50/131=0,10102202012100200112211200010201011112102112122002212220112012222...

51/131=0,10111121021121220022122201120122221010220201210020011221120001020...

52/131=0,10120110100220010002110210000121200202101220221100110222120212111...

53/131=0,10122022110011022212021211110120110100220010002110210000121200202...

54/131=0,10201011112102112122002212220112012222101022020121002001122112000...

55/131=0,10210000121200202101220221100110222120212111101201101002200100021...

56/131=0,10211212200221222011201222210102202012100200112211200010201011112...

57/131=0,10220201210020011221120001020101111210211212200221222011201222210...

58/131=0,10222120212111101201101002200100021102100001212002021012202211001...

59/131=0,11001102221202121111012011010022001000211021000012120020210122022...

60/131=0,11010022001000211021000012120020210122022110011022212021211110120...

61/131=0,11012011010022001000211021000012120020210122022110011022212021211...

62/131=0,11021000012120020210122022110011022212021211110120110100220010002...

63/131=0,11022212021211110120110100220010002110210000121200202101220221100...

64/131=0,11101201101002200100021102100001212002021012202211001102221202121...

65/131=0,11110120110100220010002110210000121200202101220221100110222120212...

66/131=0,11112102112122002212220112012222101022020121002001122112000102010...

67/131=0,11121021121220022122201120122221010220201210020011221120001020101...

68/131=0,11200010201011112102112122002212220112012222101022020121002001122...

69/131=0,11201222210102202012100200112211200010201011112102112122002212220...

70/131=0,11210211212200221222011201222210102202012100200112211200010201011...

71/131=0,11212200221222011201222210102202012100200112211200010201011112102...

72/131=0,11221120001020101111210211212200221222011201222210102202012100200...

73/131=0,12000102010111121021121220022122201120122221010220201210020011221...

74/131=0,12002021012202211001102221202121111012011010022001000211021000012...

75/131=0,12011010022001000211021000012120020210122022110011022212021211110...

76/131=0,12012222101022020121002001122112000102010111121021121220022122201...

77/131=0,12021211110120110100220010002110210000121200202101220221100110222...

78/131=0,12100200112211200010201011112102112122002212220112012222101022020...

79/131=0,12102112122002212220112012222101022020121002001122112000102010111...

80/131=0,12111101201101002200100021102100001212002021012202211001102221202...

81/131=0,12120020210122022110011022212021211110120110100220010002110210000...

82/131=0,12122002212220112012222101022020121002001122112000102010111121021...

83/131=0,12200221222011201222210102202012100200112211200010201011112102112...

84/131=0,12202211001102221202121111012011010022001000211021000012120020210...

85/131=0,12211200010201011112102112122002212220112012222101022020121002001...

86/131=0,12220112012222101022020121002001122112000102010111121021121220022...

87/131=0,12222101022020121002001122112000102010111121021121220022122201120...

88/131=0,20001020101111210211212200221222011201222210102202012100200112211...

89/131=0,20010002110210000121200202101220221100110222120212111101201101002...

90/131=0,20011221120001020101111210211212200221222011201222210102202012100...

91/131=0,20020210122022110011022212021211110120110100220010002110210000121...

92/131=0,20022122201120122221010220201210020011221120001020101111210211212...

93/131=0,20101111210211212200221222011201222210102202012100200112211200010...

94/131=0,20110100220010002110210000121200202101220221100110222120212111101...

95/131=0,20112012222101022020121002001122112000102010111121021121220022122...

96/131=0,20121002001122112000102010111121021121220022122201120122221010220...

97/131=0,20122221010220201210020011221120001020101111210211212200221222011...

98/131=0,20201210020011221120001020101111210211212200221222011201222210102...

99/131=0,20210122022110011022212021211110120110100220010002110210000121200...

100/131=0,20212111101201101002200100021102100001212002021012202211001102221...

101/131=0,20221100110222120212111101201101002200100021102100001212002021012...

102/131=0,21000012120020210122022110011022212021211110120110100220010002110...

103/131=0,21002001122112000102010111121021121220022122201120122221010220201...

104/131=0,21010220201210020011221120001020101111210211212200221222011201222...

105/131=0,21012202211001102221202121111012011010022001000211021000012120020...

106/131=0,21021121220022122201120122221010220201210020011221120001020101111...

107/131=0,21100110222120212111101201101002200100021102100001212002021012202...

108/131=0,21102100001212002021012202211001102221202121111012011010022001000...

109/131=0,21111012011010022001000211021000012120020210122022110011022212021...

110/131=0,21120001020101111210211212200221222011201222210102202012100200112...

111/131=0,21121220022122201120122221010220201210020011221120001020101111210...

112/131=0,21200202101220221100110222120212111101201101002200100021102100001...

113/131=0,21202121111012011010022001000211021000012120020210122022110011022...

114/131=0,21211110120110100220010002110210000121200202101220221100110222120...

115/131=0,21220022122201120122221010220201210020011221120001020101111210211...

116/131=0,21222011201222210102202012100200112211200010201011112102112122002...

117/131=0,22001000211021000012120020210122022110011022212021211110120110100...

118/131=0,22002212220112012222101022020121002001122112000102010111121021121...

119/131=0,22011201222210102202012100200112211200010201011112102112122002212...

120/131=0,22020121002001122112000102010111121021121220022122201120122221010...

121/131=0,22022110011022212021211110120110100220010002110210000121200202101...

122/131=0,22101022020121002001122112000102010111121021121220022122201120122...

123/131=0,22110011022212021211110120110100220010002110210000121200202101220...

124/131=0,22112000102010111121021121220022122201120122221010220201210020011...

125/131=0,22120212111101201101002200100021102100001212002021012202211001102...

126/131=0,22122201120122221010220201210020011221120001020101111210211212200...

127/131=0,22201120122221010220201210020011221120001020101111210211212200221...

128/131=0,22210102202012100200112211200010201011112102112122002212220112012...

129/131=0,22212021211110120110100220010002110210000121200202101220221100110...

130/131=0,22221010220201210020011221120001020101111210211212200221222011201...

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