Il existe 3 périodes de 50 chiffres pour n/151 en base 3.

Pour toutes les fractions de n/151 en base 3, la période de 1/151 revient alors 50 fois (en orange)

1/151=0,00001121110011021212102102222110111221120101012012...

2/151=0,00010012220022120201211212221221000220010202101101...

3/151=0,00011211100110212121021022221101112211201010120120...

4/151=0,00020102210122011110200202220212001210021111202202...

5/151=0,00022001020210110100010012220022120201211212221221...

6/151=0,00100122200221202012112122212210002200102021011010...

7/151=0,00102021011010001001222002212020121121222122100022...

8/151=0,00110212121021022221101112211201010120120000112111...

9/151=0,00112111001102121210210222211011122112010101201200...

10/151=0,00121002111120220200020102210122011110200202220212...

11/151=0,00122200221202012112122212210002200102021011010001...

12/151=0,00201022101220111102002022202120012100211112022020...

13/151=0,00202220212001210021111202202000201022101220111102...

14/151=0,00211112022020002010221012201111020020222021200121...

15/151=0,00220010202101101000100122200221202012112122212210...

16/151=0,00221202012112122212210002200102021011010001001222...

17/151=0,01000100122200221202012112122212210002200102021011...

18/151=0,01001222002212020121121222122100022001020210110100...

19/151=0,01010120120000112111001102121210210222211011122112...

20/151=0,01012012000011211100110212121021022221101112211201...

21/151=0,01020210110100010012220022120201211212221221000220...

22/151=0,01022101220111102002022202120012100211112022020002...

23/151=0,01101000100122200221202012112122212210002200102021...

24/151=0,01102121210210222211011122112010101201200001121110...

25/151=0,01111020020222021200121002111120220200020102210122...

26/151=0,01112211201010120120000112111001102121210210222211...

27/151=0,01121110011021212102102222110111221120101012012000...

28/151=0,01200001121110011021212102102222110111221120101012...

29/151=0,01201200001121110011021212102102222110111221120101...

30/151=0,01210021111202202000201022101220111102002022202120...

31/151=0,01211212221221000220010202101101000100122200221202...

32/151=0,01220111102002022202120012100211112022020002010221...

33/151=0,01222002212020121121222122100022001020210110100010...

34/151=0,02000201022101220111102002022202120012100211112022...

35/151=0,02002022202120012100211112022020002010221012201111...

36/151=0,02010221012201111020020222021200121002111120220200...

37/151=0,02012112122212210002200102021011010001001222002212...

38/151=0,02021011010001001222002212020121121222122100022001...

39/151=0,02022202120012100211112022020002010221012201111020...

40/151=0,02101101000100122200221202012112122212210002200102...

41/151=0,02102222110111221120101012012000011211100110212121...

42/151=0,02111120220200020102210122011110200202220212001210...

43/151=0,02120012100211112022020002010221012201111020020222...

44/151=0,02121210210222211011122112010101201200001121110011...

45/151=0,02200102021011010001001222002212020121121222122100...

46/151=0,02202000201022101220111102002022202120012100211112...

47/151=0,02210122011110200202220212001210021111202202000201...

48/151=0,02212020121121222122100022001020210110100010012220...

49/151=0,02220212001210021111202202000201022101220111102002...

50/151=0,02222110111221120101012012000011211100110212121021...

51/151=0,10001001222002212020121121222122100022001020210110...

52/151=0,10002200102021011010001001222002212020121121222122...

53/151=0,10011021212102102222110111221120101012012000011211...

54/151=0,10012220022120201211212221221000220010202101101000...

55/151=0,10021111202202000201022101220111102002022202120012...

56/151=0,10100010012220022120201211212221221000220010202101...

57/151=0,10101201200001121110011021212102102222110111221120...

58/151=0,10110100010012220022120201211212221221000220010202...

59/151=0,10111221120101012012000011211100110212121021022221...

60/151=0,10120120000112111001102121210210222211011122112010...

61/151=0,10122011110200202220212001210021111202202000201022...

62/151=0,10200202220212001210021111202202000201022101220111...

63/151=0,10202101101000100122200221202012112122212210002200...

64/151=0,10210222211011122112010101201200001121110011021212...

65/151=0,10212121021022221101112211201010120120000112111001...

66/151=0,10221012201111020020222021200121002111120220200020...

67/151=0,10222211011122112010101201200001121110011021212102...

68/151=0,11001102121210210222211011122112010101201200001121...

69/151=0,11010001001222002212020121121222122100022001020210...

70/151=0,11011122112010101201200001121110011021212102102222...

71/151=0,11020020222021200121002111120220200020102210122011...

72/151=0,11021212102102222110111221120101012012000011211100...

73/151=0,11100110212121021022221101112211201010120120000112...

74/151=0,11102002022202120012100211112022020002010221012201...

75/151=0,11110200202220212001210021111202202000201022101220...

76/151=0,11112022020002010221012201111020020222021200121002...

77/151=0,11120220200020102210122011110200202220212001210021...

78/151=0,11122112010101201200001121110011021212102102222110...

79/151=0,11201010120120000112111001102121210210222211011122...

80/151=0,11202202000201022101220111102002022202120012100211...

81/151=0,11211100110212121021022221101112211201010120120000...

82/151=0,11212221221000220010202101101000100122200221202012...

83/151=0,11221120101012012000011211100110212121021022221101...

84/151=0,12000011211100110212121021022221101112211201010120...

85/151=0,12001210021111202202000201022101220111102002022202...

86/151=0,12010101201200001121110011021212102102222110111221...

87/151=0,12012000011211100110212121021022221101112211201010...

88/151=0,12020121121222122100022001020210110100010012220022...

89/151=0,12022020002010221012201111020020222021200121002111...

90/151=0,12100211112022020002010221012201111020020222021200...

91/151=0,12102102222110111221120101012012000011211100110212...

92/151=0,12111001102121210210222211011122112010101201200001...

93/151=0,12112122212210002200102021011010001001222002212020...

94/151=0,12121021022221101112211201010120120000112111001102...

95/151=0,12122212210002200102021011010001001222002212020121...

96/151=0,12201111020020222021200121002111120220200020102210...

97/151=0,12210002200102021011010001001222002212020121121222...

98/151=0,12211201010120120000112111001102121210210222211011...

99/151=0,12220022120201211212221221000220010202101101000100...

100/151=0,12221221000220010202101101000100122200221202012112...

101/151=0,20000112111001102121210210222211011122112010101201...

102/151=0,20002010221012201111020020222021200121002111120220...

103/151=0,20010202101101000100122200221202012112122212210002...

104/151=0,20012100211112022020002010221012201111020020222021...

105/151=0,20020222021200121002111120220200020102210122011110...

106/151=0,20022120201211212221221000220010202101101000100122...

107/151=0,20101012012000011211100110212121021022221101112211...

108/151=0,20102210122011110200202220212001210021111202202000...

109/151=0,20111102002022202120012100211112022020002010221012...

110/151=0,20120000112111001102121210210222211011122112010101...

111/151=0,20121121222122100022001020210110100010012220022120...

112/151=0,20200020102210122011110200202220212001210021111202...

113/151=0,20201211212221221000220010202101101000100122200221...

114/151=0,20210110100010012220022120201211212221221000220010...

115/151=0,20212001210021111202202000201022101220111102002022...

116/151=0,20220200020102210122011110200202220212001210021111...

117/151=0,20222021200121002111120220200020102210122011110200...

118/151=0,21000220010202101101000100122200221202012112122212...

119/151=0,21002111120220200020102210122011110200202220212001...

120/151=0,21011010001001222002212020121121222122100022001020...

121/151=0,21012201111020020222021200121002111120220200020102...

122/151=0,21021022221101112211201010120120000112111001102121...

123/151=0,21022221101112211201010120120000112111001102121210...

124/151=0,21101112211201010120120000112111001102121210210222...

125/151=0,21110011021212102102222110111221120101012012000011...

126/151=0,21111202202000201022101220111102002022202120012100...

127/151=0,21120101012012000011211100110212121021022221101112...

128/151=0,21121222122100022001020210110100010012220022120201...

129/151=0,21200121002111120220200020102210122011110200202220...

130/151=0,21202012112122212210002200102021011010001001222002...

131/151=0,21210210222211011122112010101201200001121110011021...

132/151=0,21212102102222110111221120101012012000011211100110...

133/151=0,21221000220010202101101000100122200221202012112122...

134/151=0,21222122100022001020210110100010012220022120201211...

135/151=0,22001020210110100010012220022120201211212221221000...

136/151=0,22002212020121121222122100022001020210110100010012...

137/151=0,22011110200202220212001210021111202202000201022101...

138/151=0,22020002010221012201111020020222021200121002111120...

139/151=0,22021200121002111120220200020102210122011110200202...

140/151=0,22100022001020210110100010012220022120201211212221...

141/151=0,22101220111102002022202120012100211112022020002010...

142/151=0,22110111221120101012012000011211100110212121021022...

143/151=0,22112010101201200001121110011021212102102222110111...

144/151=0,22120201211212221221000220010202101101000100122200...

145/151=0,22122100022001020210110100010012220022120201211212...

146/151=0,22200221202012112122212210002200102021011010001001...

147/151=0,22202120012100211112022020002010221012201111020020...

148/151=0,22211011122112010101201200001121110011021212102102...

149/151=0,22212210002200102021011010001001222002212020121121...

150/151=0,22221101112211201010120120000112111001102121210210...

On remarque que le produit du nombre de périodes (3) et de leurs longueurs (50) est égal à 150 et donc au premier -1.