Liste des fractions de n/151 en base 5.

Il existe 2 périodes de 75 chiffres pour n/151 en base 5.

Pour toutes les fractions de n/151 en base 5, la période de 1/151 revient alors 75 fois (en orange)

1/151=0,000403214300131143410031234232011302401402311030331012211121202442224241044...

2/151=0,001311434100312342320113024014023110303310122111212024422242410440004032143...

3/151=0,002220203400444041230144313301034413210212433142043042133414113432233323242...

4/151=0,003123423201130240140231103033101221112120244222424104400040321430013114341...

5/151=0,004032143001311434100312342320113024014023110303310122111212024422242410440...

6/151=0,004440412301443133010344132102124331420430421334141134322333232420022202034...

7/151=0,010344132102124331420430421334141134322333232420022202034004440412301443133...

8/151=0,011302401402311030331012211121202442224241044000403214300131143410031234232...

9/151=0,012211121202442224241044000403214300131143410031234232011302401402311030331...

10/151=0,013114341003123423201130240140231103033101221112120244222424104400040321430...

11/151=0,014023110303310122111212024422242410440004032143001311434100312342320113024...

12/151=0,014431330103441321021243314204304213341411343223332324200222020340044404123...

13/151=0,020340044404123014431330103441321021243314204304213341411343223332324200222...

14/151=0,021243314204304213341411343223332324200222020340044404123014431330103441321...

15/151=0,022202034004440412301443133010344132102124331420430421334141134322333232420...

16/151=0,023110303310122111212024422242410440004032143001311434100312342320113024014...

17/151=0,024014023110303310122111212024422242410440004032143001311434100312342320113...

18/151=0,024422242410440004032143001311434100312342320113024014023110303310122111212...

19/151=0,030331012211121202442224241044000403214300131143410031234232011302401402311...

20/151=0,031234232011302401402311030331012211121202442224241044000403214300131143410...

21/151=0,032143001311434100312342320113024014023110303310122111212024422242410440004...

22/151=0,033101221112120244222424104400040321430013114341003123423201130240140231103...

23/151=0,034004440412301443133010344132102124331420430421334141134322333232420022202...

24/151=0,034413210212433142043042133414113432233323242002220203400444041230144313301...

25/151=0,040321430013114341003123423201130240140231103033101221112120244222424104400...

26/151=0,041230144313301034413210212433142043042133414113432233323242002220203400444...

27/151=0,042133414113432233323242002220203400444041230144313301034413210212433142043...

28/151=0,043042133414113432233323242002220203400444041230144313301034413210212433142...

29/151=0,044000403214300131143410031234232011302401402311030331012211121202442224241...

30/151=0,044404123014431330103441321021243314204304213341411343223332324200222020340...

31/151=0,100312342320113024014023110303310122111212024422242410440004032143001311434...

32/151=0,101221112120244222424104400040321430013114341003123423201130240140231103033...

33/151=0,102124331420430421334141134322333232420022202034004440412301443133010344132...

34/151=0,103033101221112120244222424104400040321430013114341003123423201130240140231...

35/151=0,103441321021243314204304213341411343223332324200222020340044404123014431330...

36/151=0,104400040321430013114341003123423201130240140231103033101221112120244222424...

37/151=0,110303310122111212024422242410440004032143001311434100312342320113024014023...

38/151=0,111212024422242410440004032143001311434100312342320113024014023110303310122...

39/151=0,112120244222424104400040321430013114341003123423201130240140231103033101221...

40/151=0,113024014023110303310122111212024422242410440004032143001311434100312342320...

41/151=0,113432233323242002220203400444041230144313301034413210212433142043042133414...

42/151=0,114341003123423201130240140231103033101221112120244222424104400040321430013...

43/151=0,120244222424104400040321430013114341003123423201130240140231103033101221112...

44/151=0,121202442224241044000403214300131143410031234232011302401402311030331012211...

45/151=0,122111212024422242410440004032143001311434100312342320113024014023110303310...

46/151=0,123014431330103441321021243314204304213341411343223332324200222020340044404...

47/151=0,123423201130240140231103033101221112120244222424104400040321430013114341003...

48/151=0,124331420430421334141134322333232420022202034004440412301443133010344132102...

49/151=0,130240140231103033101221112120244222424104400040321430013114341003123423201...

50/151=0,131143410031234232011302401402311030331012211121202442224241044000403214300...

51/151=0,132102124331420430421334141134322333232420022202034004440412301443133010344...

52/151=0,133010344132102124331420430421334141134322333232420022202034004440412301443...

53/151=0,133414113432233323242002220203400444041230144313301034413210212433142043042...

54/151=0,134322333232420022202034004440412301443133010344132102124331420430421334141...

55/151=0,140231103033101221112120244222424104400040321430013114341003123423201130240...

56/151=0,141134322333232420022202034004440412301443133010344132102124331420430421334...

57/151=0,142043042133414113432233323242002220203400444041230144313301034413210212433...

58/151=0,143001311434100312342320113024014023110303310122111212024422242410440004032...

59/151=0,143410031234232011302401402311030331012211121202442224241044000403214300131...

60/151=0,144313301034413210212433142043042133414113432233323242002220203400444041230...

61/151=0,200222020340044404123014431330103441321021243314204304213341411343223332324...

62/151=0,201130240140231103033101221112120244222424104400040321430013114341003123423...

63/151=0,202034004440412301443133010344132102124331420430421334141134322333232420022...

64/151=0,202442224241044000403214300131143410031234232011302401402311030331012211121...

65/151=0,203400444041230144313301034413210212433142043042133414113432233323242002220...

66/151=0,204304213341411343223332324200222020340044404123014431330103441321021243314...

67/151=0,210212433142043042133414113432233323242002220203400444041230144313301034413...

68/151=0,211121202442224241044000403214300131143410031234232011302401402311030331012...

69/151=0,212024422242410440004032143001311434100312342320113024014023110303310122111...

70/151=0,212433142043042133414113432233323242002220203400444041230144313301034413210...

71/151=0,213341411343223332324200222020340044404123014431330103441321021243314204304...

72/151=0,214300131143410031234232011302401402311030331012211121202442224241044000403...

73/151=0,220203400444041230144313301034413210212433142043042133414113432233323242002...

74/151=0,221112120244222424104400040321430013114341003123423201130240140231103033101...

75/151=0,222020340044404123014431330103441321021243314204304213341411343223332324200...

76/151=0,222424104400040321430013114341003123423201130240140231103033101221112120244...

77/151=0,223332324200222020340044404123014431330103441321021243314204304213341411343...

78/151=0,224241044000403214300131143410031234232011302401402311030331012211121202442...

79/151=0,230144313301034413210212433142043042133414113432233323242002220203400444041...

80/151=0,231103033101221112120244222424104400040321430013114341003123423201130240140...

81/151=0,232011302401402311030331012211121202442224241044000403214300131143410031234...

82/151=0,232420022202034004440412301443133010344132102124331420430421334141134322333...

83/151=0,233323242002220203400444041230144313301034413210212433142043042133414113432...

84/151=0,234232011302401402311030331012211121202442224241044000403214300131143410031...

85/151=0,240140231103033101221112120244222424104400040321430013114341003123423201130...

86/151=0,241044000403214300131143410031234232011302401402311030331012211121202442224...

87/151=0,242002220203400444041230144313301034413210212433142043042133414113432233323...

88/151=0,242410440004032143001311434100312342320113024014023110303310122111212024422...

89/151=0,243314204304213341411343223332324200222020340044404123014431330103441321021...

90/151=0,244222424104400040321430013114341003123423201130240140231103033101221112120...

91/151=0,300131143410031234232011302401402311030331012211121202442224241044000403214...

92/151=0,301034413210212433142043042133414113432233323242002220203400444041230144313...

93/151=0,301443133010344132102124331420430421334141134322333232420022202034004440412...

94/151=0,302401402311030331012211121202442224241044000403214300131143410031234232011...

95/151=0,303310122111212024422242410440004032143001311434100312342320113024014023110...

96/151=0,304213341411343223332324200222020340044404123014431330103441321021243314204...

97/151=0,310122111212024422242410440004032143001311434100312342320113024014023110303...

98/151=0,311030331012211121202442224241044000403214300131143410031234232011302401402...

99/151=0,311434100312342320113024014023110303310122111212024422242410440004032143001...

100/151=0,312342320113024014023110303310122111212024422242410440004032143001311434100...

101/151=0,313301034413210212433142043042133414113432233323242002220203400444041230144...

102/151=0,314204304213341411343223332324200222020340044404123014431330103441321021243...

103/151=0,320113024014023110303310122111212024422242410440004032143001311434100312342...

104/151=0,321021243314204304213341411343223332324200222020340044404123014431330103441...

105/151=0,321430013114341003123423201130240140231103033101221112120244222424104400040...

106/151=0,322333232420022202034004440412301443133010344132102124331420430421334141134...

107/151=0,323242002220203400444041230144313301034413210212433142043042133414113432233...

108/151=0,324200222020340044404123014431330103441321021243314204304213341411343223332...

109/151=0,330103441321021243314204304213341411343223332324200222020340044404123014431...

110/151=0,331012211121202442224241044000403214300131143410031234232011302401402311030...

111/151=0,331420430421334141134322333232420022202034004440412301443133010344132102124...

112/151=0,332324200222020340044404123014431330103441321021243314204304213341411343223...

113/151=0,333232420022202034004440412301443133010344132102124331420430421334141134322...

114/151=0,334141134322333232420022202034004440412301443133010344132102124331420430421...

115/151=0,340044404123014431330103441321021243314204304213341411343223332324200222020...

116/151=0,341003123423201130240140231103033101221112120244222424104400040321430013114...

117/151=0,341411343223332324200222020340044404123014431330103441321021243314204304213...

118/151=0,342320113024014023110303310122111212024422242410440004032143001311434100312...

119/151=0,343223332324200222020340044404123014431330103441321021243314204304213341411...

120/151=0,344132102124331420430421334141134322333232420022202034004440412301443133010...

121/151=0,400040321430013114341003123423201130240140231103033101221112120244222424104...

122/151=0,400444041230144313301034413210212433142043042133414113432233323242002220203...

123/151=0,401402311030331012211121202442224241044000403214300131143410031234232011302...

124/151=0,402311030331012211121202442224241044000403214300131143410031234232011302401...

125/151=0,403214300131143410031234232011302401402311030331012211121202442224241044000...

126/151=0,404123014431330103441321021243314204304213341411343223332324200222020340044...

127/151=0,410031234232011302401402311030331012211121202442224241044000403214300131143...

128/151=0,410440004032143001311434100312342320113024014023110303310122111212024422242...

129/151=0,411343223332324200222020340044404123014431330103441321021243314204304213341...

130/151=0,412301443133010344132102124331420430421334141134322333232420022202034004440...

131/151=0,413210212433142043042133414113432233323242002220203400444041230144313301034...

132/151=0,414113432233323242002220203400444041230144313301034413210212433142043042133...

133/151=0,420022202034004440412301443133010344132102124331420430421334141134322333232...

134/151=0,420430421334141134322333232420022202034004440412301443133010344132102124331...

135/151=0,421334141134322333232420022202034004440412301443133010344132102124331420430...

136/151=0,422242410440004032143001311434100312342320113024014023110303310122111212024...

137/151=0,423201130240140231103033101221112120244222424104400040321430013114341003123...

138/151=0,424104400040321430013114341003123423201130240140231103033101221112120244222...

139/151=0,430013114341003123423201130240140231103033101221112120244222424104400040321...

140/151=0,430421334141134322333232420022202034004440412301443133010344132102124331420...

141/151=0,431330103441321021243314204304213341411343223332324200222020340044404123014...

142/151=0,432233323242002220203400444041230144313301034413210212433142043042133414113...

143/151=0,433142043042133414113432233323242002220203400444041230144313301034413210212...

144/151=0,434100312342320113024014023110303310122111212024422242410440004032143001311...

145/151=0,440004032143001311434100312342320113024014023110303310122111212024422242410...

146/151=0,440412301443133010344132102124331420430421334141134322333232420022202034004...

147/151=0,441321021243314204304213341411343223332324200222020340044404123014431330103...

148/151=0,442224241044000403214300131143410031234232011302401402311030331012211121202...

149/151=0,443133010344132102124331420430421334141134322333232420022202034004440412301...

150/151=0,444041230144313301034413210212433142043042133414113432233323242002220203400...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (75) est égal à 150 et donc au premier -1.