Il existe 6 périodes de 13 chiffres pour n/79 en base 8.

Pour toutes les fractions de n/79 en base 8, la période de 1/79 revient alors 13 fois (en orange)

1/79=0,0063662164521...

2/79=0,0147544351242...

3/79=0,0233426535763...

4/79=0,0317310722504...

5/79=0,0403173107225...

6/79=0,0467055273746...

7/79=0,0552737460467...

8/79=0,0636621645210...

9/79=0,0722504031731...

10/79=0,1006366216452...

11/79=0,1072250403173...

12/79=0,1156132567714...

13/79=0,1242014754435...

14/79=0,1325677141156...

15/79=0,1411561325677...

16/79=0,1475443512420...

17/79=0,1561325677141...

18/79=0,1645210063662...

19/79=0,1731072250403...

20/79=0,2014754435124...

21/79=0,2100636621645...

22/79=0,2164521006366...

23/79=0,2250403173107...

24/79=0,2334265357630...

25/79=0,2420147544351...

26/79=0,2504031731072...

27/79=0,2567714115613...

28/79=0,2653576302334...

29/79=0,2737460467055...

30/79=0,3023342653576...

31/79=0,3107225040317...

32/79=0,3173107225040...

33/79=0,3256771411561...

34/79=0,3342653576302...

35/79=0,3426535763023...

36/79=0,3512420147544...

37/79=0,3576302334265...

38/79=0,3662164521006...

39/79=0,3746046705527...

40/79=0,4031731072250...

41/79=0,4115613256771...

42/79=0,4201475443512...

43/79=0,4265357630233...

44/79=0,4351242014754...

45/79=0,4435124201475...

46/79=0,4521006366216...

47/79=0,4604670552737...

48/79=0,4670552737460...

49/79=0,4754435124201...

50/79=0,5040317310722...

51/79=0,5124201475443...

52/79=0,5210063662164...

53/79=0,5273746046705...

54/79=0,5357630233426...

55/79=0,5443512420147...

56/79=0,5527374604670...

57/79=0,5613256771411...

58/79=0,5677141156132...

59/79=0,5763023342653...

60/79=0,6046705527374...

61/79=0,6132567714115...

62/79=0,6216452100636...

63/79=0,6302334265357...

64/79=0,6366216452100...

65/79=0,6452100636621...

66/79=0,6535763023342...

67/79=0,6621645210063...

68/79=0,6705527374604...

69/79=0,6771411561325...

70/79=0,7055273746046...

71/79=0,7141156132567...

72/79=0,7225040317310...

73/79=0,7310722504031...

74/79=0,7374604670552...

75/79=0,7460467055273...

76/79=0,7544351242014...

77/79=0,7630233426535...

78/79=0,7714115613256...

On remarque que le produit du nombre de périodes (6) et de leurs longueurs (13) est égal à 78 et donc au premier -1.