Liste des fractions de n/67 en base 5.

Il existe 3 périodes de 22 chiffres pour n/67 en base 5.

Pour toutes les fractions de n/67 en base 5, la période de 1/67 revient alors 22 fois (en orange)

1/67=0,0014131010244303134342...

2/67=0,0033312021044111324234...

3/67=0,0102443031343420014131...

4/67=0,0122124042143223204023...

5/67=0,0141310102443031343420...

6/67=0,0210441113242340033312...

7/67=0,0230122124042143223204...

8/67=0,0244303134342001413101...

9/67=0,0313434200141310102443...

10/67=0,0333120210441113242340...

11/67=0,0402301221240421432232...

12/67=0,0421432232040230122124...

13/67=0,0441113242340033312021...

14/67=0,1010244303134342001413...

15/67=0,1024430313434200141310...

16/67=0,1044111324234003331202...

17/67=0,1113242340033312021044...

18/67=0,1132423400333120210441...

19/67=0,1202104411132423400333...

20/67=0,1221240421432232040230...

21/67=0,1240421432232040230122...

22/67=0,1310102443031343420014...

23/67=0,1324234003331202104411...

24/67=0,1343420014131010244303...

25/67=0,1413101024430313434200...

26/67=0,1432232040230122124042...

27/67=0,2001413101024430313434...

28/67=0,2021044111324234003331...

29/67=0,2040230122124042143223...

30/67=0,2104411132423400333120...

31/67=0,2124042143223204023012...

32/67=0,2143223204023012212404...

33/67=0,2212404214322320402301...

34/67=0,2232040230122124042143...

35/67=0,2301221240421432232040...

36/67=0,2320402301221240421432...

37/67=0,2340033312021044111324...

38/67=0,2404214322320402301221...

39/67=0,2423400333120210441113...

40/67=0,2443031343420014131010...

41/67=0,3012212404214322320402...

42/67=0,3031343420014131010244...

43/67=0,3101024430313434200141...

44/67=0,3120210441113242340033...

45/67=0,3134342001413101024430...

46/67=0,3204023012212404214322...

47/67=0,3223204023012212404214...

48/67=0,3242340033312021044111...

49/67=0,3312021044111324234003...

50/67=0,3331202104411132423400...

51/67=0,3400333120210441113242...

52/67=0,3420014131010244303134...

53/67=0,3434200141310102443031...

54/67=0,4003331202104411132423...

55/67=0,4023012212404214322320...

56/67=0,4042143223204023012212...

57/67=0,4111324234003331202104...

58/67=0,4131010244303134342001...

59/67=0,4200141310102443031343...

60/67=0,4214322320402301221240...

61/67=0,4234003331202104411132...

62/67=0,4303134342001413101024...

63/67=0,4322320402301221240421...

64/67=0,4342001413101024430313...

65/67=0,4411132423400333120210...

66/67=0,4430313434200141310102...

On remarque que le produit du nombre de périodes (3) et de leurs longueurs (22) est égal à 66 et donc au premier -1.