Il existe 8 périodes de 12 chiffres pour n/97 en base 6.

Pour toutes les fractions de n/97 en base 6, la période de 1/97 revient alors 12 fois (en orange)

1/97=0,002120553435...

2/97=0,004241551314...

3/97=0,010402545153...

4/97=0,012523543032...

5/97=0,015044540511...

6/97=0,021205534350...

7/97=0,023330532225...

8/97=0,025451530104...

9/97=0,032012523543...

10/97=0,034133521422...

11/97=0,040254515301...

12/97=0,042415513140...

13/97=0,044540511015...

14/97=0,051101504454...

15/97=0,053222502333...

16/97=0,055343500212...

17/97=0,101504454051...

18/97=0,104025451530...

19/97=0,110150445405...

20/97=0,112311443244...

21/97=0,114432441123...

22/97=0,120553435002...

23/97=0,123114432441...

24/97=0,125235430320...

25/97=0,131400424155...

26/97=0,133521422034...

27/97=0,140042415513...

28/97=0,142203413352...

29/97=0,144324411231...

30/97=0,150445405110...

31/97=0,153010402545...

32/97=0,155131400424...

33/97=0,201252354303...

34/97=0,203413352142...

35/97=0,205534350021...

36/97=0,212055343500...

37/97=0,214220341335...

38/97=0,220341335214...

39/97=0,222502333053...

40/97=0,225023330532...

41/97=0,231144324411...

42/97=0,233305322250...

43/97=0,235430320125...

44/97=0,241551314004...

45/97=0,244112311443...

46/97=0,250233305322...

47/97=0,252354303201...

48/97=0,254515301040...

49/97=0,301040254515...

50/97=0,303201252354...

51/97=0,305322250233...

52/97=0,311443244112...

53/97=0,314004241551...

54/97=0,320125235430...

55/97=0,322250233305...

56/97=0,324411231144...

57/97=0,330532225023...

58/97=0,333053222502...

59/97=0,335214220341...

60/97=0,341335214220...

61/97=0,343500212055...

62/97=0,350021205534...

63/97=0,352142203413...

64/97=0,354303201252...

65/97=0,400424155131...

66/97=0,402545153010...

67/97=0,405110150445...

68/97=0,411231144324...

69/97=0,413352142203...

70/97=0,415513140042...

71/97=0,422034133521...

72/97=0,424155131400...

73/97=0,430320125235...

74/97=0,432441123114...

75/97=0,435002120553...

76/97=0,441123114432...

77/97=0,443244112311...

78/97=0,445405110150...

79/97=0,451530104025...

80/97=0,454051101504...

81/97=0,500212055343...

82/97=0,502333053222...

83/97=0,504454051101...

84/97=0,511015044540...

85/97=0,513140042415...

86/97=0,515301040254...

87/97=0,521422034133...

88/97=0,523543032012...

89/97=0,530104025451...

90/97=0,532225023330...

91/97=0,534350021205...

92/97=0,540511015044...

93/97=0,543032012523...

94/97=0,545153010402...

95/97=0,551314004241...

96/97=0,553435002120...

On remarque que le produit du nombre de périodes (8) et de leurs longueurs (12) est égal à 96 et donc au premier -1.