Liste des fractions de n/61 en base 5.

Il existe 2 périodes de 30 chiffres pour n/61 en base 5.

Pour toutes les fractions de n/61 en base 5, la période de 1/61 revient alors 30 fois (en orange)

1/61=0,002011033210130442433411234314...

2/61=0,004022121420311440422323024133...

3/61=0,011033210130442433411234314002...

4/61=0,013044243341123431400201103321...

5/61=0,020110332101304424334112343140...

6/61=0,022121420311440422323024133004...

7/61=0,024133004022121420311440422323...

8/61=0,031144042232302413300402212142...

9/61=0,033210130442433411234314002011...

10/61=0,040221214203114404223230241330...

11/61=0,042232302413300402212142031144...

12/61=0,044243341123431400201103321013...

13/61=0,101304424334112343140020110332...

14/61=0,103321013044243341123431400201...

15/61=0,110332101304424334112343140020...

16/61=0,112343140020110332101304424334...

17/61=0,114404223230241330040221214203...

18/61=0,121420311440422323024133004022...

19/61=0,123431400201103321013044243341...

20/61=0,130442433411234314002011033210...

21/61=0,133004022121420311440422323024...

22/61=0,140020110332101304424334112343...

23/61=0,142031144042232302413300402212...

24/61=0,144042232302413300402212142031...

25/61=0,201103321013044243341123431400...

26/61=0,203114404223230241330040221214...

27/61=0,210130442433411234314002011033...

28/61=0,212142031144042232302413300402...

29/61=0,214203114404223230241330040221...

30/61=0,221214203114404223230241330040...

31/61=0,223230241330040221214203114404...

32/61=0,230241330040221214203114404223...

33/61=0,232302413300402212142031144042...

34/61=0,234314002011033210130442433411...

35/61=0,241330040221214203114404223230...

36/61=0,243341123431400201103321013044...

37/61=0,300402212142031144042232302413...

38/61=0,302413300402212142031144042232...

39/61=0,304424334112343140020110332101...

40/61=0,311440422323024133004022121420...

41/61=0,314002011033210130442433411234...

42/61=0,321013044243341123431400201103...

43/61=0,323024133004022121420311440422...

44/61=0,330040221214203114404223230241...

45/61=0,332101304424334112343140020110...

46/61=0,334112343140020110332101304424...

47/61=0,341123431400201103321013044243...

48/61=0,343140020110332101304424334112...

49/61=0,400201103321013044243341123431...

50/61=0,402212142031144042232302413300...

51/61=0,404223230241330040221214203114...

52/61=0,411234314002011033210130442433...

53/61=0,413300402212142031144042232302...

54/61=0,420311440422323024133004022121...

55/61=0,422323024133004022121420311440...

56/61=0,424334112343140020110332101304...

57/61=0,431400201103321013044243341123...

58/61=0,433411234314002011033210130442...

59/61=0,440422323024133004022121420311...

60/61=0,442433411234314002011033210130...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (30) est égal à 60 et donc au premier -1.