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

Pour toutes les fractions de n/103 en base 2, la période de 1/103 revient alors 51 fois (en orange)

1/103=0,000000100111110001000101100101111001110010010101001...

2/103=0,000001001111100010001011001011110011100100101010010...

3/103=0,000001110111010011010000110001101101010110111111011...

4/103=0,000010011111000100010110010111100111001001010100100...

5/103=0,000011000110110101011011111101100000111011101001101...

6/103=0,000011101110100110100001100011011010101101111110110...

7/103=0,000100010110010111100111001001010100100000010011111...

8/103=0,000100111110001000101100101111001110010010101001000...

9/103=0,000101100101111001110010010101001000000100111110001...

10/103=0,000110001101101010110111111011000001110111010011010...

11/103=0,000110110101011011111101100000111011101001101000011...

12/103=0,000111011101001101000011000110110101011011111101100...

13/103=0,001000000100111110001000101100101111001110010010101...

14/103=0,001000101100101111001110010010101001000000100111110...

15/103=0,001001010100100000010011111000100010110010111100111...

16/103=0,001001111100010001011001011110011100100101010010000...

17/103=0,001010100100000010011111000100010110010111100111001...

18/103=0,001011001011110011100100101010010000001001111100010...

19/103=0,001011110011100100101010010000001001111100010001011...

20/103=0,001100011011010101101111110110000011101110100110100...

21/103=0,001101000011000110110101011011111101100000111011101...

22/103=0,001101101010110111111011000001110111010011010000110...

23/103=0,001110010010101001000000100111110001000101100101111...

24/103=0,001110111010011010000110001101101010110111111011000...

25/103=0,001111100010001011001011110011100100101010010000001...

26/103=0,010000001001111100010001011001011110011100100101010...

27/103=0,010000110001101101010110111111011000001110111010011...

28/103=0,010001011001011110011100100101010010000001001111100...

29/103=0,010010000001001111100010001011001011110011100100101...

30/103=0,010010101001000000100111110001000101100101111001110...

31/103=0,010011010000110001101101010110111111011000001110111...

32/103=0,010011111000100010110010111100111001001010100100000...

33/103=0,010100100000010011111000100010110010111100111001001...

34/103=0,010101001000000100111110001000101100101111001110010...

35/103=0,010101101111110110000011101110100110100001100011011...

36/103=0,010110010111100111001001010100100000010011111000100...

37/103=0,010110111111011000001110111010011010000110001101101...

38/103=0,010111100111001001010100100000010011111000100010110...

39/103=0,011000001110111010011010000110001101101010110111111...

40/103=0,011000110110101011011111101100000111011101001101000...

41/103=0,011001011110011100100101010010000001001111100010001...

42/103=0,011010000110001101101010110111111011000001110111010...

43/103=0,011010101101111110110000011101110100110100001100011...

44/103=0,011011010101101111110110000011101110100110100001100...

45/103=0,011011111101100000111011101001101000011000110110101...

46/103=0,011100100101010010000001001111100010001011001011110...

47/103=0,011101001101000011000110110101011011111101100000111...

48/103=0,011101110100110100001100011011010101101111110110000...

49/103=0,011110011100100101010010000001001111100010001011001...

50/103=0,011111000100010110010111100111001001010100100000010...

51/103=0,011111101100000111011101001101000011000110110101011...

52/103=0,100000010011111000100010110010111100111001001010100...

53/103=0,100000111011101001101000011000110110101011011111101...

54/103=0,100001100011011010101101111110110000011101110100110...

55/103=0,100010001011001011110011100100101010010000001001111...

56/103=0,100010110010111100111001001010100100000010011111000...

57/103=0,100011011010101101111110110000011101110100110100001...

58/103=0,100100000010011111000100010110010111100111001001010...

59/103=0,100100101010010000001001111100010001011001011110011...

60/103=0,100101010010000001001111100010001011001011110011100...

61/103=0,100101111001110010010101001000000100111110001000101...

62/103=0,100110100001100011011010101101111110110000011101110...

63/103=0,100111001001010100100000010011111000100010110010111...

64/103=0,100111110001000101100101111001110010010101001000000...

65/103=0,101000011000110110101011011111101100000111011101001...

66/103=0,101001000000100111110001000101100101111001110010010...

67/103=0,101001101000011000110110101011011111101100000111011...

68/103=0,101010010000001001111100010001011001011110011100100...

69/103=0,101010110111111011000001110111010011010000110001101...

70/103=0,101011011111101100000111011101001101000011000110110...

71/103=0,101100000111011101001101000011000110110101011011111...

72/103=0,101100101111001110010010101001000000100111110001000...

73/103=0,101101010110111111011000001110111010011010000110001...

74/103=0,101101111110110000011101110100110100001100011011010...

75/103=0,101110100110100001100011011010101101111110110000011...

76/103=0,101111001110010010101001000000100111110001000101100...

77/103=0,101111110110000011101110100110100001100011011010101...

78/103=0,110000011101110100110100001100011011010101101111110...

79/103=0,110001000101100101111001110010010101001000000100111...

80/103=0,110001101101010110111111011000001110111010011010000...

81/103=0,110010010101001000000100111110001000101100101111001...

82/103=0,110010111100111001001010100100000010011111000100010...

83/103=0,110011100100101010010000001001111100010001011001011...

84/103=0,110100001100011011010101101111110110000011101110100...

85/103=0,110100110100001100011011010101101111110110000011101...

86/103=0,110101011011111101100000111011101001101000011000110...

87/103=0,110110000011101110100110100001100011011010101101111...

88/103=0,110110101011011111101100000111011101001101000011000...

89/103=0,110111010011010000110001101101010110111111011000001...

90/103=0,110111111011000001110111010011010000110001101101010...

91/103=0,111000100010110010111100111001001010100100000010011...

92/103=0,111001001010100100000010011111000100010110010111100...

93/103=0,111001110010010101001000000100111110001000101100101...

94/103=0,111010011010000110001101101010110111111011000001110...

95/103=0,111011000001110111010011010000110001101101010110111...

96/103=0,111011101001101000011000110110101011011111101100000...

97/103=0,111100010001011001011110011100100101010010000001001...

98/103=0,111100111001001010100100000010011111000100010110010...

99/103=0,111101100000111011101001101000011000110110101011011...

100/103=0,111110001000101100101111001110010010101001000000100...

101/103=0,111110110000011101110100110100001100011011010101101...

102/103=0,111111011000001110111010011010000110001101101010110...

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