Liste des fractions de n/157 en base 7

Il existe 3 périodes de 52 chiffres pour n/157 en base 7.

Pour toutes les fractions de n/157 en base 7, la période de 1/157 revient alors 52 fois (en orange)

1/157=0,0021202332256551554004240466454643344101151126624262...

2/157=0,0042404664546433441011511266242620021202332256551554...

3/157=0,0063610330136315325016052066030563365303513416506146...

4/157=0,0115112662426200212023322565515540042404664546433441...

5/157=0,0136315325016052066030563365303513416506146006361033...

6/157=0,0160520660305633653035134165061460063610330136315325...

7/157=0,0212023322565515540042404664546433441011511266242620...

8/157=0,0233225655155400424046645464334410115112662426200212...

9/157=0,0254431320445252311054216264122353462214143556124504...

10/157=0,0305633653035134165061460063610330136315325016052066...

11/157=0,0330136315325016052066030563365303513416506146006361...

12/157=0,0351341650614600636103301363153250160520660305633653...

13/157=0,0402544313204452523110542162641223534622141435561245...

14/157=0,0424046645464334410115112662426200212023322565515540...

15/157=0,0445252311054216264122353462214143556124504025443132...

16/157=0,0466454643344101151126624262002120233225655155400424...

17/157=0,0520660305633653035134165061460063610330136315325016...

18/157=0,0542162641223534622141435561245040254431320445252311...

19/157=0,0563365303513416506146006361033013631532501605206603...

20/157=0,0614600636103301363153250160520660305633653035134165...

21/157=0,0636103301363153250160520660305633653035134165061460...

22/157=0,0660305633653035134165061460063610330136315325016052...

23/157=0,1011511266242620021202332256551554004240466454643344...

24/157=0,1033013631532501605206603056336530351341650614600636...

25/157=0,1054216264122353462214143556124504025443132044525231...

26/157=0,1105421626412235346221414355612450402544313204452523...

27/157=0,1126624262002120233225655155400424046645464334410115...

28/157=0,1151126624262002120233225655155400424046645464334410...

29/157=0,1202332256551554004240466454643344101151126624262002...

30/157=0,1223534622141435561245040254431320445252311054216264...

31/157=0,1245040254431320445252311054216264122353462214143556...

32/157=0,1266242620021202332256551554004240466454643344101151...

33/157=0,1320445252311054216264122353462214143556124504025443...

34/157=0,1341650614600636103301363153250160520660305633653035...

35/157=0,1363153250160520660305633653035134165061460063610330...

36/157=0,1414355612450402544313204452523110542162641223534622...

37/157=0,1435561245040254431320445252311054216264122353462214...

38/157=0,1460063610330136315325016052066030563365303513416506...

39/157=0,1511266242620021202332256551554004240466454643344101...

40/157=0,1532501605206603056336530351341650614600636103301363...

41/157=0,1554004240466454643344101151126624262002120233225655...

42/157=0,1605206603056336530351341650614600636103301363153250...

43/157=0,1626412235346221414355612450402544313204452523110542...

44/157=0,1650614600636103301363153250160520660305633653035134...

45/157=0,2002120233225655155400424046645464334410115112662426...

46/157=0,2023322565515540042404664546433441011511266242620021...

47/157=0,2044525231105421626412235346221414355612450402544313...

48/157=0,2066030563365303513416506146006361033013631532501605...

49/157=0,2120233225655155400424046645464334410115112662426200...

50/157=0,2141435561245040254431320445252311054216264122353462...

51/157=0,2162641223534622141435561245040254431320445252311054...

52/157=0,2214143556124504025443132044525231105421626412235346...

53/157=0,2235346221414355612450402544313204452523110542162641...

54/157=0,2256551554004240466454643344101151126624262002120233...

55/157=0,2311054216264122353462214143556124504025443132044525...

56/157=0,2332256551554004240466454643344101151126624262002120...

57/157=0,2353462214143556124504025443132044525231105421626412...

58/157=0,2404664546433441011511266242620021202332256551554004...

59/157=0,2426200212023322565515540042404664546433441011511266...

60/157=0,2450402544313204452523110542162641223534622141435561...

61/157=0,2501605206603056336530351341650614600636103301363153...

62/157=0,2523110542162641223534622141435561245040254431320445...

63/157=0,2544313204452523110542162641223534622141435561245040...

64/157=0,2565515540042404664546433441011511266242620021202332...

65/157=0,2620021202332256551554004240466454643344101151126624...

66/157=0,2641223534622141435561245040254431320445252311054216...

67/157=0,2662426200212023322565515540042404664546433441011511...

68/157=0,3013631532501605206603056336530351341650614600636103...

69/157=0,3035134165061460063610330136315325016052066030563365...

70/157=0,3056336530351341650614600636103301363153250160520660...

71/157=0,3110542162641223534622141435561245040254431320445252...

72/157=0,3132044525231105421626412235346221414355612450402544...

73/157=0,3153250160520660305633653035134165061460063610330136...

74/157=0,3204452523110542162641223534622141435561245040254431...

75/157=0,3225655155400424046645464334410115112662426200212023...

76/157=0,3250160520660305633653035134165061460063610330136315...

77/157=0,3301363153250160520660305633653035134165061460063610...

78/157=0,3322565515540042404664546433441011511266242620021202...

79/157=0,3344101151126624262002120233225655155400424046645464...

80/157=0,3365303513416506146006361033013631532501605206603056...

81/157=0,3416506146006361033013631532501605206603056336530351...

82/157=0,3441011511266242620021202332256551554004240466454643...

83/157=0,3462214143556124504025443132044525231105421626412235...

84/157=0,3513416506146006361033013631532501605206603056336530...

85/157=0,3534622141435561245040254431320445252311054216264122...

86/157=0,3556124504025443132044525231105421626412235346221414...

87/157=0,3610330136315325016052066030563365303513416506146006...

88/157=0,3631532501605206603056336530351341650614600636103301...

89/157=0,3653035134165061460063610330136315325016052066030563...

90/157=0,4004240466454643344101151126624262002120233225655155...

91/157=0,4025443132044525231105421626412235346221414355612450...

92/157=0,4046645464334410115112662426200212023322565515540042...

93/157=0,4101151126624262002120233225655155400424046645464334...

94/157=0,4122353462214143556124504025443132044525231105421626...

95/157=0,4143556124504025443132044525231105421626412235346221...

96/157=0,4165061460063610330136315325016052066030563365303513...

97/157=0,4216264122353462214143556124504025443132044525231105...

98/157=0,4240466454643344101151126624262002120233225655155400...

99/157=0,4262002120233225655155400424046645464334410115112662...

100/157=0,4313204452523110542162641223534622141435561245040254...

101/157=0,4334410115112662426200212023322565515540042404664546...

102/157=0,4355612450402544313204452523110542162641223534622141...

103/157=0,4410115112662426200212023322565515540042404664546433...

104/157=0,4431320445252311054216264122353462214143556124504025...

105/157=0,4452523110542162641223534622141435561245040254431320...

106/157=0,4504025443132044525231105421626412235346221414355612...

107/157=0,4525231105421626412235346221414355612450402544313204...

108/157=0,4546433441011511266242620021202332256551554004240466...

109/157=0,4600636103301363153250160520660305633653035134165061...

110/157=0,4622141435561245040254431320445252311054216264122353...

111/157=0,4643344101151126624262002120233225655155400424046645...

112/157=0,4664546433441011511266242620021202332256551554004240...

113/157=0,5016052066030563365303513416506146006361033013631532...

114/157=0,5040254431320445252311054216264122353462214143556124...

115/157=0,5061460063610330136315325016052066030563365303513416...

116/157=0,5112662426200212023322565515540042404664546433441011...

117/157=0,5134165061460063610330136315325016052066030563365303...

118/157=0,5155400424046645464334410115112662426200212023322565...

119/157=0,5206603056336530351341650614600636103301363153250160...

120/157=0,5231105421626412235346221414355612450402544313204452...

121/157=0,5252311054216264122353462214143556124504025443132044...

122/157=0,5303513416506146006361033013631532501605206603056336...

123/157=0,5325016052066030563365303513416506146006361033013631...

124/157=0,5346221414355612450402544313204452523110542162641223...

125/157=0,5400424046645464334410115112662426200212023322565515...

126/157=0,5421626412235346221414355612450402544313204452523110...

127/157=0,5443132044525231105421626412235346221414355612450402...

128/157=0,5464334410115112662426200212023322565515540042404664...

129/157=0,5515540042404664546433441011511266242620021202332256...

130/157=0,5540042404664546433441011511266242620021202332256551...

131/157=0,5561245040254431320445252311054216264122353462214143...

132/157=0,5612450402544313204452523110542162641223534622141435...

133/157=0,5633653035134165061460063610330136315325016052066030...

134/157=0,5655155400424046645464334410115112662426200212023322...

135/157=0,6006361033013631532501605206603056336530351341650614...

136/157=0,6030563365303513416506146006361033013631532501605206...

137/157=0,6052066030563365303513416506146006361033013631532501...

138/157=0,6103301363153250160520660305633653035134165061460063...

139/157=0,6124504025443132044525231105421626412235346221414355...

140/157=0,6146006361033013631532501605206603056336530351341650...

141/157=0,6200212023322565515540042404664546433441011511266242...

142/157=0,6221414355612450402544313204452523110542162641223534...

143/157=0,6242620021202332256551554004240466454643344101151126...

144/157=0,6264122353462214143556124504025443132044525231105421...

145/157=0,6315325016052066030563365303513416506146006361033013...

146/157=0,6336530351341650614600636103301363153250160520660305...

147/157=0,6361033013631532501605206603056336530351341650614600...

148/157=0,6412235346221414355612450402544313204452523110542162...

149/157=0,6433441011511266242620021202332256551554004240466454...

150/157=0,6454643344101151126624262002120233225655155400424046...

151/157=0,6506146006361033013631532501605206603056336530351341...

152/157=0,6530351341650614600636103301363153250160520660305633...

153/157=0,6551554004240466454643344101151126624262002120233225...

154/157=0,6603056336530351341650614600636103301363153250160520...

155/157=0,6624262002120233225655155400424046645464334410115112...

156/157=0,6645464334410115112662426200212023322565515540042404...

On remarque que le produit du nombre de périodes (3) et de leurs longueurs (52) est égal à 156 et donc au premier -1.