Liste des fractions de n/151 en base 4.

Il existe 10 périodes de 15 chiffres pour n/151 en base 4.

Pour toutes les fractions de n/151 en base 4, la période de 1/151 revient alors 15 fois (en orange)

1/151=0,000123020003121...

2/151=0,000312100012302...

3/151=0,001101120022023...

4/151=0,001230200031210...

5/151=0,002013220100331...

6/151=0,002202300110112...

7/151=0,002331320113233...

8/151=0,003121000123020...

9/151=0,003310020132201...

10/151=0,010033100201322...

11/151=0,010222120211103...

12/151=0,011011200220230...

13/151=0,011200220230011...

14/151=0,011323300233132...

15/151=0,012112320302313...

16/151=0,012302000312100...

17/151=0,013031020321221...

18/151=0,013220100331002...

19/151=0,020003121000123...

20/151=0,020132201003310...

21/151=0,020321221013031...

22/151=0,021110301022212...

23/151=0,021233321031333...

24/151=0,022023001101120...

25/151=0,022212021110301...

26/151=0,023001101120022...

27/151=0,023130121123203...

28/151=0,023313201132330...

29/151=0,030102221202111...

30/151=0,030231301211232...

31/151=0,031020321221013...

32/151=0,031210001230200...

33/151=0,031333021233321...

34/151=0,032122101303102...

35/151=0,032311121312223...

36/151=0,033100201322010...

37/151=0,033223221331131...

38/151=0,100012302000312...

39/151=0,100201322010033...

40/151=0,100331002013220...

41/151=0,101120022023001...

42/151=0,101303102032122...

43/151=0,102032122101303...

44/151=0,102221202111030...

45/151=0,103010222120211...

46/151=0,103133302123332...

47/151=0,103322322133113...

48/151=0,110112002202300...

49/151=0,110301022212021...

50/151=0,111030102221202...

51/151=0,111213122230323...

52/151=0,112002202300110...

53/151=0,112131222303231...

54/151=0,112320302313012...

55/151=0,113103322322133...

56/151=0,113233002331320...

57/151=0,120022023001101...

58/151=0,120211103010222...

59/151=0,121000123020003...

60/151=0,121123203023130...

61/151=0,121312223032311...

62/151=0,122101303102032...

63/151=0,122230323111213...

64/151=0,123020003121000...

65/151=0,123203023130121...

66/151=0,123332103133302...

67/151=0,130121123203023...

68/151=0,130310203212210...

69/151=0,131033223221331...

70/151=0,131222303231112...

71/151=0,132011323300233...

72/151=0,132201003310020...

73/151=0,132330023313201...

74/151=0,133113103322322...

75/151=0,133302123332103...

76/151=0,200031210001230...

77/151=0,200220230011011...

78/151=0,201003310020132...

79/151=0,201132330023313...

80/151=0,201322010033100...

81/151=0,202111030102221...

82/151=0,202300110112002...

83/151=0,203023130121123...

84/151=0,203212210130310...

85/151=0,210001230200031...

86/151=0,210130310203212...

87/151=0,210313330212333...

88/151=0,211103010222120...

89/151=0,211232030231301...

90/151=0,212021110301022...

91/151=0,212210130310203...

92/151=0,212333210313330...

93/151=0,213122230323111...

94/151=0,213311310332232...

95/151=0,220100331002013...

96/151=0,220230011011200...

97/151=0,221013031020321...

98/151=0,221202111030102...

99/151=0,221331131033223...

100/151=0,222120211103010...

101/151=0,222303231112131...

102/151=0,223032311121312...

103/151=0,223221331131033...

104/151=0,230011011200220...

105/151=0,230200031210001...

106/151=0,230323111213122...

107/151=0,231112131222303...

108/151=0,231301211232030...

109/151=0,232030231301211...

110/151=0,232213311310332...

111/151=0,233002331320113...

112/151=0,233132011323300...

113/151=0,233321031333021...

114/151=0,300110112002202...

115/151=0,300233132011323...

116/151=0,301022212021110...

117/151=0,301211232030231...

118/151=0,302000312100012...

119/151=0,302123332103133...

120/151=0,302313012112320...

121/151=0,303102032122101...

122/151=0,303231112131222...

123/151=0,310020132201003...

124/151=0,310203212210130...

125/151=0,310332232213311...

126/151=0,311121312223032...

127/151=0,311310332232213...

128/151=0,312100012302000...

129/151=0,312223032311121...

130/151=0,313012112320302...

131/151=0,313201132330023...

132/151=0,313330212333210...

133/151=0,320113233002331...

134/151=0,320302313012112...

135/151=0,321031333021233...

136/151=0,321221013031020...

137/151=0,322010033100201...

138/151=0,322133113103322...

139/151=0,322322133113103...

140/151=0,323111213122230...

141/151=0,323300233132011...

142/151=0,330023313201132...

143/151=0,330212333210313...

144/151=0,331002013220100...

145/151=0,331131033223221...

146/151=0,331320113233002...

147/151=0,332103133302123...

148/151=0,332232213311310...

149/151=0,333021233321031...

150/151=0,333210313330212...

On remarque que le produit du nombre de périodes (10) et de leurs longueurs (15) est égal à 150 et donc au premier -1.