Il existe 4 périodes de 37 chiffres pour n/149 en base 6.

Pour toutes les fractions de n/149 en base 6, la période de 1/149 revient alors 37 fois (en orange)

1/149=0,0012410433132311550111253454150403511...

2/149=0,0025221310305023540222551352341211422...

3/149=0,0042032143441335530334245250532015333...

4/149=0,0054443021014051520445543145122423244...

5/149=0,0111253454150403511001241043313231155...

6/149=0,0124104331323115501112534541504035110...

7/149=0,0140515204455431451224232440054443021...

8/149=0,0153330042032143441335530334245250532...

9/149=0,0210140515204455431451224232440054443...

10/149=0,0222551352341211422002522131030502354...

11/149=0,0235402225513523412114220025221310305...

12/149=0,0252213103050235402225513523412114220...

13/149=0,0305023540222551352341211422002522131...

14/149=0,0321434413355303342452505320153330042...

15/149=0,0334245250532015333004203214344133553...

16/149=0,0351100124104331323115501112534541504...

17/149=0,0403511001241043313231155011125345415...

18/149=0,0420321434413355303342452505320153330...

19/149=0,0433132311550111253454150403511001241...

20/149=0,0445543145122423244005444302101405152...

21/149=0,0502354022255135234121142200252213103...

22/149=0,0515204455431451224232440054443021014...

23/149=0,0532015333004203214344133553033424525...

24/149=0,0544430210140515204455431451224232440...

25/149=0,1001241043313231155011125345415040351...

26/149=0,1014051520445543145122423244005444302...

27/149=0,1030502354022255135234121142200252213...

28/149=0,1043313231155011125345415040351100124...

29/149=0,1100124104331323115501112534541504035...

30/149=0,1112534541504035110012410433132311550...

31/149=0,1125345415040351100124104331323115501...

32/149=0,1142200252213103050235402225513523412...

33/149=0,1155011125345415040351100124104331323...

34/149=0,1211422002522131030502354022255135234...

35/149=0,1224232440054443021014051520445543145...

36/149=0,1241043313231155011125345415040351100...

37/149=0,1253454150403511001241043313231155011...

38/149=0,1310305023540222551352341211422002522...

39/149=0,1323115501112534541504035110012410433...

40/149=0,1335530334245250532015333004203214344...

41/149=0,1352341211422002522131030502354022255...

42/149=0,1405152044554314512242324400544430210...

43/149=0,1422002522131030502354022255135234121...

44/149=0,1434413355303342452505320153330042032...

45/149=0,1451224232440054443021014051520445543...

46/149=0,1504035110012410433132311550111253454...

47/149=0,1520445543145122423244005444302101405...

48/149=0,1533300420321434413355303342452505320...

49/149=0,1550111253454150403511001241043313231...

50/149=0,2002522131030502354022255135234121142...

51/149=0,2015333004203214344133553033424525053...

52/149=0,2032143441335530334245250532015333004...

53/149=0,2044554314512242324400544430210140515...

54/149=0,2101405152044554314512242324400544430...

55/149=0,2114220025221310305023540222551352341...

56/149=0,2131030502354022255135234121142200252...

57/149=0,2143441335530334245250532015333004203...

58/149=0,2200252213103050235402225513523412114...

59/149=0,2213103050235402225513523412114220025...

60/149=0,2225513523412114220025221310305023540...

61/149=0,2242324400544430210140515204455431451...

62/149=0,2255135234121142200252213103050235402...

63/149=0,2311550111253454150403511001241043313...

64/149=0,2324400544430210140515204455431451224...

65/149=0,2341211422002522131030502354022255135...

66/149=0,2354022255135234121142200252213103050...

67/149=0,2410433132311550111253454150403511001...

68/149=0,2423244005444302101405152044554314512...

69/149=0,2440054443021014051520445543145122423...

70/149=0,2452505320153330042032143441335530334...

71/149=0,2505320153330042032143441335530334245...

72/149=0,2522131030502354022255135234121142200...

73/149=0,2534541504035110012410433132311550111...

74/149=0,2551352341211422002522131030502354022...

75/149=0,3004203214344133553033424525053201533...

76/149=0,3021014051520445543145122423244005444...

77/149=0,3033424525053201533300420321434413355...

78/149=0,3050235402225513523412114220025221310...

79/149=0,3103050235402225513523412114220025221...

80/149=0,3115501112534541504035110012410433132...

81/149=0,3132311550111253454150403511001241043...

82/149=0,3145122423244005444302101405152044554...

83/149=0,3201533300420321434413355303342452505...

84/149=0,3214344133553033424525053201533300420...

85/149=0,3231155011125345415040351100124104331...

86/149=0,3244005444302101405152044554314512242...

87/149=0,3300420321434413355303342452505320153...

88/149=0,3313231155011125345415040351100124104...

89/149=0,3330042032143441335530334245250532015...

90/149=0,3342452505320153330042032143441335530...

91/149=0,3355303342452505320153330042032143441...

92/149=0,3412114220025221310305023540222551352...

93/149=0,3424525053201533300420321434413355303...

94/149=0,3441335530334245250532015333004203214...

95/149=0,3454150403511001241043313231155011125...

96/149=0,3511001241043313231155011125345415040...

97/149=0,3523412114220025221310305023540222551...

98/149=0,3540222551352341211422002522131030502...

99/149=0,3553033424525053201533300420321434413...

100/149=0,4005444302101405152044554314512242324...

101/149=0,4022255135234121142200252213103050235...

102/149=0,4035110012410433132311550111253454150...

103/149=0,4051520445543145122423244005444302101...

104/149=0,4104331323115501112534541504035110012...

105/149=0,4121142200252213103050235402225513523...

106/149=0,4133553033424525053201533300420321434...

107/149=0,4150403511001241043313231155011125345...

108/149=0,4203214344133553033424525053201533300...

109/149=0,4220025221310305023540222551352341211...

110/149=0,4232440054443021014051520445543145122...

111/149=0,4245250532015333004203214344133553033...

112/149=0,4302101405152044554314512242324400544...

113/149=0,4314512242324400544430210140515204455...

114/149=0,4331323115501112534541504035110012410...

115/149=0,4344133553033424525053201533300420321...

116/149=0,4400544430210140515204455431451224232...

117/149=0,4413355303342452505320153330042032143...

118/149=0,4430210140515204455431451224232440054...

119/149=0,4443021014051520445543145122423244005...

120/149=0,4455431451224232440054443021014051520...

121/149=0,4512242324400544430210140515204455431...

122/149=0,4525053201533300420321434413355303342...

123/149=0,4541504035110012410433132311550111253...

124/149=0,4554314512242324400544430210140515204...

125/149=0,5011125345415040351100124104331323115...

126/149=0,5023540222551352341211422002522131030...

127/149=0,5040351100124104331323115501112534541...

128/149=0,5053201533300420321434413355303342452...

129/149=0,5110012410433132311550111253454150403...

130/149=0,5122423244005444302101405152044554314...

131/149=0,5135234121142200252213103050235402225...

132/149=0,5152044554314512242324400544430210140...

133/149=0,5204455431451224232440054443021014051...

134/149=0,5221310305023540222551352341211422002...

135/149=0,5234121142200252213103050235402225513...

136/149=0,5250532015333004203214344133553033424...

137/149=0,5303342452505320153330042032143441335...

138/149=0,5320153330042032143441335530334245250...

139/149=0,5333004203214344133553033424525053201...

140/149=0,5345415040351100124104331323115501112...

141/149=0,5402225513523412114220025221310305023...

142/149=0,5415040351100124104331323115501112534...

143/149=0,5431451224232440054443021014051520445...

144/149=0,5444302101405152044554314512242324400...

145/149=0,5501112534541504035110012410433132311...

146/149=0,5513523412114220025221310305023540222...

147/149=0,5530334245250532015333004203214344133...

148/149=0,5543145122423244005444302101405152044...

On remarque que le produit du nombre de périodes (4) et de leurs longueurs (37) est égal à 148 et donc au premier -1.