Liste des fractions de n/107 en base 10.

Il existe 2 périodes de 53 chiffres pour n/107 en base 10.

Pour toutes les fractions de n/107 en base 10, la période de 1/107 revient alors 53 fois (en orange)

1/107=0,00934579439252336448598130841121495327102803738317757...

2/107=0,01869158878504672897196261682242990654205607476635514...

3/107=0,02803738317757009345794392523364485981308411214953271...

4/107=0,03738317757009345794392523364485981308411214953271028...

5/107=0,04672897196261682242990654205607476635514018691588785...

6/107=0,05607476635514018691588785046728971962616822429906542...

7/107=0,06542056074766355140186915887850467289719626168224299...

8/107=0,07476635514018691588785046728971962616822429906542056...

9/107=0,08411214953271028037383177570093457943925233644859813...

10/107=0,09345794392523364485981308411214953271028037383177570...

11/107=0,10280373831775700934579439252336448598130841121495327...

12/107=0,11214953271028037383177570093457943925233644859813084...

13/107=0,12149532710280373831775700934579439252336448598130841...

14/107=0,13084112149532710280373831775700934579439252336448598...

15/107=0,14018691588785046728971962616822429906542056074766355...

16/107=0,14953271028037383177570093457943925233644859813084112...

17/107=0,15887850467289719626168224299065420560747663551401869...

18/107=0,16822429906542056074766355140186915887850467289719626...

19/107=0,17757009345794392523364485981308411214953271028037383...

20/107=0,18691588785046728971962616822429906542056074766355140...

21/107=0,19626168224299065420560747663551401869158878504672897...

22/107=0,20560747663551401869158878504672897196261682242990654...

23/107=0,21495327102803738317757009345794392523364485981308411...

24/107=0,22429906542056074766355140186915887850467289719626168...

25/107=0,23364485981308411214953271028037383177570093457943925...

26/107=0,24299065420560747663551401869158878504672897196261682...

27/107=0,25233644859813084112149532710280373831775700934579439...

28/107=0,26168224299065420560747663551401869158878504672897196...

29/107=0,27102803738317757009345794392523364485981308411214953...

30/107=0,28037383177570093457943925233644859813084112149532710...

31/107=0,28971962616822429906542056074766355140186915887850467...

32/107=0,29906542056074766355140186915887850467289719626168224...

33/107=0,30841121495327102803738317757009345794392523364485981...

34/107=0,31775700934579439252336448598130841121495327102803738...

35/107=0,32710280373831775700934579439252336448598130841121495...

36/107=0,33644859813084112149532710280373831775700934579439252...

37/107=0,34579439252336448598130841121495327102803738317757009...

38/107=0,35514018691588785046728971962616822429906542056074766...

39/107=0,36448598130841121495327102803738317757009345794392523...

40/107=0,37383177570093457943925233644859813084112149532710280...

41/107=0,38317757009345794392523364485981308411214953271028037...

42/107=0,39252336448598130841121495327102803738317757009345794...

43/107=0,40186915887850467289719626168224299065420560747663551...

44/107=0,41121495327102803738317757009345794392523364485981308...

45/107=0,42056074766355140186915887850467289719626168224299065...

46/107=0,42990654205607476635514018691588785046728971962616822...

47/107=0,43925233644859813084112149532710280373831775700934579...

48/107=0,44859813084112149532710280373831775700934579439252336...

49/107=0,45794392523364485981308411214953271028037383177570093...

50/107=0,46728971962616822429906542056074766355140186915887850...

51/107=0,47663551401869158878504672897196261682242990654205607...

52/107=0,48598130841121495327102803738317757009345794392523364...

53/107=0,49532710280373831775700934579439252336448598130841121...

54/107=0,50467289719626168224299065420560747663551401869158878...

55/107=0,51401869158878504672897196261682242990654205607476635...

56/107=0,52336448598130841121495327102803738317757009345794392...

57/107=0,53271028037383177570093457943925233644859813084112149...

58/107=0,54205607476635514018691588785046728971962616822429906...

59/107=0,55140186915887850467289719626168224299065420560747663...

60/107=0,56074766355140186915887850467289719626168224299065420...

61/107=0,57009345794392523364485981308411214953271028037383177...

62/107=0,57943925233644859813084112149532710280373831775700934...

63/107=0,58878504672897196261682242990654205607476635514018691...

64/107=0,59813084112149532710280373831775700934579439252336448...

65/107=0,60747663551401869158878504672897196261682242990654205...

66/107=0,61682242990654205607476635514018691588785046728971962...

67/107=0,62616822429906542056074766355140186915887850467289719...

68/107=0,63551401869158878504672897196261682242990654205607476...

69/107=0,64485981308411214953271028037383177570093457943925233...

70/107=0,65420560747663551401869158878504672897196261682242990...

71/107=0,66355140186915887850467289719626168224299065420560747...

72/107=0,67289719626168224299065420560747663551401869158878504...

73/107=0,68224299065420560747663551401869158878504672897196261...

74/107=0,69158878504672897196261682242990654205607476635514018...

75/107=0,70093457943925233644859813084112149532710280373831775...

76/107=0,71028037383177570093457943925233644859813084112149532...

77/107=0,71962616822429906542056074766355140186915887850467289...

78/107=0,72897196261682242990654205607476635514018691588785046...

79/107=0,73831775700934579439252336448598130841121495327102803...

80/107=0,74766355140186915887850467289719626168224299065420560...

81/107=0,75700934579439252336448598130841121495327102803738317...

82/107=0,76635514018691588785046728971962616822429906542056074...

83/107=0,77570093457943925233644859813084112149532710280373831...

84/107=0,78504672897196261682242990654205607476635514018691588...

85/107=0,79439252336448598130841121495327102803738317757009345...

86/107=0,80373831775700934579439252336448598130841121495327102...

87/107=0,81308411214953271028037383177570093457943925233644859...

88/107=0,82242990654205607476635514018691588785046728971962616...

89/107=0,83177570093457943925233644859813084112149532710280373...

90/107=0,84112149532710280373831775700934579439252336448598130...

91/107=0,85046728971962616822429906542056074766355140186915887...

92/107=0,85981308411214953271028037383177570093457943925233644...

93/107=0,86915887850467289719626168224299065420560747663551401...

94/107=0,87850467289719626168224299065420560747663551401869158...

95/107=0,88785046728971962616822429906542056074766355140186915...

96/107=0,89719626168224299065420560747663551401869158878504672...

97/107=0,90654205607476635514018691588785046728971962616822429...

98/107=0,91588785046728971962616822429906542056074766355140186...

99/107=0,92523364485981308411214953271028037383177570093457943...

100/107=0,93457943925233644859813084112149532710280373831775700...

101/107=0,94392523364485981308411214953271028037383177570093457...

102/107=0,95327102803738317757009345794392523364485981308411214...

103/107=0,96261682242990654205607476635514018691588785046728971...

104/107=0,97196261682242990654205607476635514018691588785046728...

105/107=0,98130841121495327102803738317757009345794392523364485...

106/107=0,99065420560747663551401869158878504672897196261682242...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (53) est égal à 106 et donc au premier -1.