Liste des fractions de n/103 en base 4.

Il existe 2 périodes de 51 chiffres pour n/103 en base 4.

Pour toutes les fractions de n/103 en base 4, la période de 1/103 revient alors 51 fois (en orange)

1/103=0,000213301011211321302111020010332020230233032102221...

2/103=0,001033202023023303210222100021330101121132130211102...

3/103=0,001313103100301231112333120032322122012031222313323...

4/103=0,002133010112113213021110200103320202302330321022210...

5/103=0,003012311123331200323221220120312223133230013131031...

6/103=0,003232212201203122231332300131310310030123111233312...

7/103=0,010112113213021110200103320202302330321022210002133...

8/103=0,010332020230233032102221000213301011211321302111020...

9/103=0,011211321302111020010332020230233032102221000213301...

10/103=0,012031222313323001313103100301231112333120032322122...

11/103=0,012311123331200323221220120312223133230013131031003...

12/103=0,013131031003012311123331200323221220120312223133230...

13/103=0,020010332020230233032102221000213301011211321302111...

14/103=0,020230233032102221000213301011211321302111020010332...

15/103=0,021110200103320202302330321022210002133010112113213...

16/103=0,021330101121132130211102001033202023023303210222100...

17/103=0,022210002133010112113213021110200103320202302330321...

18/103=0,023023303210222100021330101121132130211102001033202...

19/103=0,023303210222100021330101121132130211102001033202023...

20/103=0,030123111233312003232212201203122231332300131310310...

21/103=0,031003012311123331200323221220120312223133230013131...

22/103=0,031222313323001313103100301231112333120032322122012...

23/103=0,032102221000213301011211321302111020010332020230233...

24/103=0,032322122012031222313323001313103100301231112333120...

25/103=0,033202023023303210222100021330101121132130211102001...

26/103=0,100021330101121132130211102001033202023023303210222...

27/103=0,100301231112333120032322122012031222313323001313103...

28/103=0,101121132130211102001033202023023303210222100021330...

29/103=0,102001033202023023303210222100021330101121132130211...

30/103=0,102221000213301011211321302111020010332020230233032...

31/103=0,103100301231112333120032322122012031222313323001313...

32/103=0,103320202302330321022210002133010112113213021110200...

33/103=0,110200103320202302330321022210002133010112113213021...

34/103=0,111020010332020230233032102221000213301011211321302...

35/103=0,111233312003232212201203122231332300131310310030123...

36/103=0,112113213021110200103320202302330321022210002133010...

37/103=0,112333120032322122012031222313323001313103100301231...

38/103=0,113213021110200103320202302330321022210002133010112...

39/103=0,120032322122012031222313323001313103100301231112333...

40/103=0,120312223133230013131031003012311123331200323221220...

41/103=0,121132130211102001033202023023303210222100021330101...

42/103=0,122012031222313323001313103100301231112333120032322...

43/103=0,122231332300131310310030123111233312003232212201203...

44/103=0,123111233312003232212201203122231332300131310310030...

45/103=0,123331200323221220120312223133230013131031003012311...

46/103=0,130211102001033202023023303210222100021330101121132...

47/103=0,131031003012311123331200323221220120312223133230013...

48/103=0,131310310030123111233312003232212201203122231332300...

49/103=0,132130211102001033202023023303210222100021330101121...

50/103=0,133010112113213021110200103320202302330321022210002...

51/103=0,133230013131031003012311123331200323221220120312223...

52/103=0,200103320202302330321022210002133010112113213021110...

53/103=0,200323221220120312223133230013131031003012311123331...

54/103=0,201203122231332300131310310030123111233312003232212...

55/103=0,202023023303210222100021330101121132130211102001033...

56/103=0,202302330321022210002133010112113213021110200103320...

57/103=0,203122231332300131310310030123111233312003232212201...

58/103=0,210002133010112113213021110200103320202302330321022...

59/103=0,210222100021330101121132130211102001033202023023303...

60/103=0,211102001033202023023303210222100021330101121132130...

61/103=0,211321302111020010332020230233032102221000213301011...

62/103=0,212201203122231332300131310310030123111233312003232...

63/103=0,213021110200103320202302330321022210002133010112113...

64/103=0,213301011211321302111020010332020230233032102221000...

65/103=0,220120312223133230013131031003012311123331200323221...

66/103=0,221000213301011211321302111020010332020230233032102...

67/103=0,221220120312223133230013131031003012311123331200323...

68/103=0,222100021330101121132130211102001033202023023303210...

69/103=0,222313323001313103100301231112333120032322122012031...

70/103=0,223133230013131031003012311123331200323221220120312...

71/103=0,230013131031003012311123331200323221220120312223133...

72/103=0,230233032102221000213301011211321302111020010332020...

73/103=0,231112333120032322122012031222313323001313103100301...

74/103=0,231332300131310310030123111233312003232212201203122...

75/103=0,232212201203122231332300131310310030123111233312003...

76/103=0,233032102221000213301011211321302111020010332020230...

77/103=0,233312003232212201203122231332300131310310030123111...

78/103=0,300131310310030123111233312003232212201203122231332...

79/103=0,301011211321302111020010332020230233032102221000213...

80/103=0,301231112333120032322122012031222313323001313103100...

81/103=0,302111020010332020230233032102221000213301011211321...

82/103=0,302330321022210002133010112113213021110200103320202...

83/103=0,303210222100021330101121132130211102001033202023023...

84/103=0,310030123111233312003232212201203122231332300131310...

85/103=0,310310030123111233312003232212201203122231332300131...

86/103=0,311123331200323221220120312223133230013131031003012...

87/103=0,312003232212201203122231332300131310310030123111233...

88/103=0,312223133230013131031003012311123331200323221220120...

89/103=0,313103100301231112333120032322122012031222313323001...

90/103=0,313323001313103100301231112333120032322122012031222...

91/103=0,320202302330321022210002133010112113213021110200103...

92/103=0,321022210002133010112113213021110200103320202302330...

93/103=0,321302111020010332020230233032102221000213301011211...

94/103=0,322122012031222313323001313103100301231112333120032...

95/103=0,323001313103100301231112333120032322122012031222313...

96/103=0,323221220120312223133230013131031003012311123331200...

97/103=0,330101121132130211102001033202023023303210222100021...

98/103=0,330321022210002133010112113213021110200103320202302...

99/103=0,331200323221220120312223133230013131031003012311123...

100/103=0,332020230233032102221000213301011211321302111020010...

101/103=0,332300131310310030123111233312003232212201203122231...

102/103=0,333120032322122012031222313323001313103100301231112...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (51) est égal à 102 et donc au premier -1.