Il existe 10 périodes de 10 chiffres pour n/101 en base 6.

Pour toutes les fractions de n/101 en base 6, la période de 1/101 revient alors 10 fois (en orange)

1/101=0,0020455351...

2/101=0,0041355142...

3/101=0,0102254533...

4/101=0,0123154324...

5/101=0,0144054115...

6/101=0,0204553510...

7/101=0,0225453301...

8/101=0,0250353052...

9/101=0,0311252443...

10/101=0,0332152234...

11/101=0,0353052025...

12/101=0,0413551420...

13/101=0,0434451211...

14/101=0,0455351002...

15/101=0,0520250353...

16/101=0,0541150144...

17/101=0,1002045535...

18/101=0,1022545330...

19/101=0,1043445121...

20/101=0,1104344512...

21/101=0,1125244303...

22/101=0,1150144054...

23/101=0,1211043445...

24/101=0,1231543240...

25/101=0,1252443031...

26/101=0,1313342422...

27/101=0,1334242213...

28/101=0,1355142004...

29/101=0,1420041355...

30/101=0,1440541150...

31/101=0,1501440541...

32/101=0,1522340332...

33/101=0,1543240123...

34/101=0,2004135514...

35/101=0,2025035305...

36/101=0,2045535100...

37/101=0,2110434451...

38/101=0,2131334242...

39/101=0,2152234033...

40/101=0,2213133424...

41/101=0,2234033215...

42/101=0,2254533010...

43/101=0,2315432401...

44/101=0,2340332152...

45/101=0,2401231543...

46/101=0,2422131334...

47/101=0,2443031125...

48/101=0,2503530520...

49/101=0,2524430311...

50/101=0,2545330102...

51/101=0,3010225453...

52/101=0,3031125244...

53/101=0,3052025035...

54/101=0,3112524430...

55/101=0,3133424221...

56/101=0,3154324012...

57/101=0,3215223403...

58/101=0,3240123154...

59/101=0,3301022545...

60/101=0,3321522340...

61/101=0,3342422131...

62/101=0,3403321522...

63/101=0,3424221313...

64/101=0,3445121104...

65/101=0,3510020455...

66/101=0,3530520250...

67/101=0,3551420041...

68/101=0,4012315432...

69/101=0,4033215223...

70/101=0,4054115014...

71/101=0,4115014405...

72/101=0,4135514200...

73/101=0,4200413551...

74/101=0,4221313342...

75/101=0,4242213133...

76/101=0,4303112524...

77/101=0,4324012315...

78/101=0,4344512110...

79/101=0,4405411501...

80/101=0,4430311252...

81/101=0,4451211043...

82/101=0,4512110434...

83/101=0,4533010225...

84/101=0,4553510020...

85/101=0,5014405411...

86/101=0,5035305202...

87/101=0,5100204553...

88/101=0,5121104344...

89/101=0,5142004135...

90/101=0,5202503530...

91/101=0,5223403321...

92/101=0,5244303112...

93/101=0,5305202503...

94/101=0,5330102254...

95/101=0,5351002045...

96/101=0,5411501440...

97/101=0,5432401231...

98/101=0,5453301022...

99/101=0,5514200413...

100/101=0,5535100204...

On remarque que le produit du nombre de périodes (10) et de leurs longueurs (10) est égal à 100 et donc au premier -1.