Il existe 2 périodes de 74 chiffres pour n/149 en base 7.

Pour toutes les fractions de n/149 en base 7, la période de 1/149 revient alors 74 fois (en orange)

1/149=0,00220540640165453543145605155531014336644612602650121312352106151113565233...

2/149=0,00441411610364240416324513344362032006622525505630242625034215332230463466...

3/149=0,00662252550563024262503421533223046346600441411610364240416324513344362032...

4/149=0,01213123521061511135652330022054064016545354314560515553101433664461260265...

5/149=0,01433664461260265012131235210615111356523300220540640165453543145605155531...

6/149=0,01654535431456051555310143366446126026501213123521061511135652330022054064...

7/149=0,02205406401654535431456051555310143366446126026501213123521061511135652330...

8/149=0,02426250342153322304634660044141161036424041632451334436203200662252550563...

9/149=0,02650121312352106151113565233002205406401654535431456051555310143366446126...

10/149=0,03200662252550563024262503421533223046346600441411610364240416324513344362...

11/149=0,03421533223046346600441411610364240416324513344362032006622525505630242625...

12/149=0,03642404163245133443620320066225255056302426250342153322304634660044141161...

13/149=0,04163245133443620320066225255056302426250342153322304634660044141161036424...

14/149=0,04414116103642404163245133443620320066225255056302426250342153322304634660...

15/149=0,04634660044141161036424041632451334436203200662252550563024262503421533223...

16/149=0,05155531014336644612602650121312352106151113565233002205406401654535431456...

17/149=0,05406401654535431456051555310143366446126026501213123521061511135652330022...

18/149=0,05630242625034215332230463466004414116103642404163245133443620320066225255...

19/149=0,06151113565233002205406401654535431456051555310143366446126026501213123521...

20/149=0,06401654535431456051555310143366446126026501213123521061511135652330022054...

21/149=0,06622525505630242625034215332230463466004414116103642404163245133443620320...

22/149=0,10143366446126026501213123521061511135652330022054064016545354314560515553...

23/149=0,10364240416324513344362032006622525505630242625034215332230463466004414116...

24/149=0,10615111356523300220540640165453543145605155531014336644612602650121312352...

25/149=0,11135652330022054064016545354314560515553101433664461260265012131235210615...

26/149=0,11356523300220540640165453543145605155531014336644612602650121312352106151...

27/149=0,11610364240416324513344362032006622525505630242625034215332230463466004414...

28/149=0,12131235210615111356523300220540640165453543145605155531014336644612602650...

29/149=0,12352106151113565233002205406401654535431456051555310143366446126026501213...

30/149=0,12602650121312352106151113565233002205406401654535431456051555310143366446...

31/149=0,13123521061511135652330022054064016545354314560515553101433664461260265012...

32/149=0,13344362032006622525505630242625034215332230463466004414116103642404163245...

33/149=0,13565233002205406401654535431456051555310143366446126026501213123521061511...

34/149=0,14116103642404163245133443620320066225255056302426250342153322304634660044...

35/149=0,14336644612602650121312352106151113565233002205406401654535431456051555310...

36/149=0,14560515553101433664461260265012131235210615111356523300220540640165453543...

37/149=0,15111356523300220540640165453543145605155531014336644612602650121312352106...

38/149=0,15332230463466004414116103642404163245133443620320066225255056302426250342...

39/149=0,15553101433664461260265012131235210615111356523300220540640165453543145605...

40/149=0,16103642404163245133443620320066225255056302426250342153322304634660044141...

41/149=0,16324513344362032006622525505630242625034215332230463466004414116103642404...

42/149=0,16545354314560515553101433664461260265012131235210615111356523300220540640...

43/149=0,20066225255056302426250342153322304634660044141161036424041632451334436203...

44/149=0,20320066225255056302426250342153322304634660044141161036424041632451334436...

45/149=0,20540640165453543145605155531014336644612602650121312352106151113565233002...

46/149=0,21061511135652330022054064016545354314560515553101433664461260265012131235...

47/149=0,21312352106151113565233002205406401654535431456051555310143366446126026501...

48/149=0,21533223046346600441411610364240416324513344362032006622525505630242625034...

49/149=0,22054064016545354314560515553101433664461260265012131235210615111356523300...

50/149=0,22304634660044141161036424041632451334436203200662252550563024262503421533...

51/149=0,22525505630242625034215332230463466004414116103642404163245133443620320066...

52/149=0,23046346600441411610364240416324513344362032006622525505630242625034215332...

53/149=0,23300220540640165453543145605155531014336644612602650121312352106151113565...

54/149=0,23521061511135652330022054064016545354314560515553101433664461260265012131...

55/149=0,24041632451334436203200662252550563024262503421533223046346600441411610364...

56/149=0,24262503421533223046346600441411610364240416324513344362032006622525505630...

57/149=0,24513344362032006622525505630242625034215332230463466004414116103642404163...

58/149=0,25034215332230463466004414116103642404163245133443620320066225255056302426...

59/149=0,25255056302426250342153322304634660044141161036424041632451334436203200662...

60/149=0,25505630242625034215332230463466004414116103642404163245133443620320066225...

61/149=0,26026501213123521061511135652330022054064016545354314560515553101433664461...

62/149=0,26250342153322304634660044141161036424041632451334436203200662252550563024...

63/149=0,26501213123521061511135652330022054064016545354314560515553101433664461260...

64/149=0,30022054064016545354314560515553101433664461260265012131235210615111356523...

65/149=0,30242625034215332230463466004414116103642404163245133443620320066225255056...

66/149=0,30463466004414116103642404163245133443620320066225255056302426250342153322...

67/149=0,31014336644612602650121312352106151113565233002205406401654535431456051555...

68/149=0,31235210615111356523300220540640165453543145605155531014336644612602650121...

69/149=0,31456051555310143366446126026501213123521061511135652330022054064016545354...

70/149=0,32006622525505630242625034215332230463466004414116103642404163245133443620...

71/149=0,32230463466004414116103642404163245133443620320066225255056302426250342153...

72/149=0,32451334436203200662252550563024262503421533223046346600441411610364240416...

73/149=0,33002205406401654535431456051555310143366446126026501213123521061511135652...

74/149=0,33223046346600441411610364240416324513344362032006622525505630242625034215...

75/149=0,33443620320066225255056302426250342153322304634660044141161036424041632451...

76/149=0,33664461260265012131235210615111356523300220540640165453543145605155531014...

77/149=0,34215332230463466004414116103642404163245133443620320066225255056302426250...

78/149=0,34436203200662252550563024262503421533223046346600441411610364240416324513...

79/149=0,34660044141161036424041632451334436203200662252550563024262503421533223046...

80/149=0,35210615111356523300220540640165453543145605155531014336644612602650121312...

81/149=0,35431456051555310143366446126026501213123521061511135652330022054064016545...

82/149=0,35652330022054064016545354314560515553101433664461260265012131235210615111...

83/149=0,36203200662252550563024262503421533223046346600441411610364240416324513344...

84/149=0,36424041632451334436203200662252550563024262503421533223046346600441411610...

85/149=0,36644612602650121312352106151113565233002205406401654535431456051555310143...

86/149=0,40165453543145605155531014336644612602650121312352106151113565233002205406...

87/149=0,40416324513344362032006622525505630242625034215332230463466004414116103642...

88/149=0,40640165453543145605155531014336644612602650121312352106151113565233002205...

89/149=0,41161036424041632451334436203200662252550563024262503421533223046346600441...

90/149=0,41411610364240416324513344362032006622525505630242625034215332230463466004...

91/149=0,41632451334436203200662252550563024262503421533223046346600441411610364240...

92/149=0,42153322304634660044141161036424041632451334436203200662252550563024262503...

93/149=0,42404163245133443620320066225255056302426250342153322304634660044141161036...

94/149=0,42625034215332230463466004414116103642404163245133443620320066225255056302...

95/149=0,43145605155531014336644612602650121312352106151113565233002205406401654535...

96/149=0,43366446126026501213123521061511135652330022054064016545354314560515553101...

97/149=0,43620320066225255056302426250342153322304634660044141161036424041632451334...

98/149=0,44141161036424041632451334436203200662252550563024262503421533223046346600...

99/149=0,44362032006622525505630242625034215332230463466004414116103642404163245133...

100/149=0,44612602650121312352106151113565233002205406401654535431456051555310143366...

101/149=0,45133443620320066225255056302426250342153322304634660044141161036424041632...

102/149=0,45354314560515553101433664461260265012131235210615111356523300220540640165...

103/149=0,45605155531014336644612602650121312352106151113565233002205406401654535431...

104/149=0,46126026501213123521061511135652330022054064016545354314560515553101433664...

105/149=0,46346600441411610364240416324513344362032006622525505630242625034215332230...

106/149=0,46600441411610364240416324513344362032006622525505630242625034215332230463...

107/149=0,50121312352106151113565233002205406401654535431456051555310143366446126026...

108/149=0,50342153322304634660044141161036424041632451334436203200662252550563024262...

109/149=0,50563024262503421533223046346600441411610364240416324513344362032006622525...

110/149=0,51113565233002205406401654535431456051555310143366446126026501213123521061...

111/149=0,51334436203200662252550563024262503421533223046346600441411610364240416324...

112/149=0,51555310143366446126026501213123521061511135652330022054064016545354314560...

113/149=0,52106151113565233002205406401654535431456051555310143366446126026501213123...

114/149=0,52330022054064016545354314560515553101433664461260265012131235210615111356...

115/149=0,52550563024262503421533223046346600441411610364240416324513344362032006622...

116/149=0,53101433664461260265012131235210615111356523300220540640165453543145605155...

117/149=0,53322304634660044141161036424041632451334436203200662252550563024262503421...

118/149=0,53543145605155531014336644612602650121312352106151113565233002205406401654...

119/149=0,54064016545354314560515553101433664461260265012131235210615111356523300220...

120/149=0,54314560515553101433664461260265012131235210615111356523300220540640165453...

121/149=0,54535431456051555310143366446126026501213123521061511135652330022054064016...

122/149=0,55056302426250342153322304634660044141161036424041632451334436203200662252...

123/149=0,55310143366446126026501213123521061511135652330022054064016545354314560515...

124/149=0,55531014336644612602650121312352106151113565233002205406401654535431456051...

125/149=0,56051555310143366446126026501213123521061511135652330022054064016545354314...

126/149=0,56302426250342153322304634660044141161036424041632451334436203200662252550...

127/149=0,56523300220540640165453543145605155531014336644612602650121312352106151113...

128/149=0,60044141161036424041632451334436203200662252550563024262503421533223046346...

129/149=0,60265012131235210615111356523300220540640165453543145605155531014336644612...

130/149=0,60515553101433664461260265012131235210615111356523300220540640165453543145...

131/149=0,61036424041632451334436203200662252550563024262503421533223046346600441411...

132/149=0,61260265012131235210615111356523300220540640165453543145605155531014336644...

133/149=0,61511135652330022054064016545354314560515553101433664461260265012131235210...

134/149=0,62032006622525505630242625034215332230463466004414116103642404163245133443...

135/149=0,62252550563024262503421533223046346600441411610364240416324513344362032006...

136/149=0,62503421533223046346600441411610364240416324513344362032006622525505630242...

137/149=0,63024262503421533223046346600441411610364240416324513344362032006622525505...

138/149=0,63245133443620320066225255056302426250342153322304634660044141161036424041...

139/149=0,63466004414116103642404163245133443620320066225255056302426250342153322304...

140/149=0,64016545354314560515553101433664461260265012131235210615111356523300220540...

141/149=0,64240416324513344362032006622525505630242625034215332230463466004414116103...

142/149=0,64461260265012131235210615111356523300220540640165453543145605155531014336...

143/149=0,65012131235210615111356523300220540640165453543145605155531014336644612602...

144/149=0,65233002205406401654535431456051555310143366446126026501213123521061511135...

145/149=0,65453543145605155531014336644612602650121312352106151113565233002205406401...

146/149=0,66004414116103642404163245133443620320066225255056302426250342153322304634...

147/149=0,66225255056302426250342153322304634660044141161036424041632451334436203200...

148/149=0,66446126026501213123521061511135652330022054064016545354314560515553101433...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (74) est égal à 148 et donc au premier -1.