Liste des fractions de n/53 en base 6.

Il existe 2 périodes de 26 chiffres pour n/53 en base 6.

Pour toutes les fractions de n/53 en base 6, la période de 1/53 revient alors 26 fois (en orange)

1/53=0,00402414511245515314104431...

2/53=0,01205233422535435032213302...

3/53=0,02012052334225354350322133...

4/53=0,02414511245515314104431004...

5/53=0,03221330201205233422535435...

6/53=0,04024145112455153141044310...

7/53=0,04431004024145112455153141...

8/53=0,05233422535435032213302012...

9/53=0,10040241451124551531410443...

10/53=0,10443100402414511245515314...

11/53=0,11245515314104431004024145...

12/53=0,12052334225354350322133020...

13/53=0,12455153141044310040241451...

14/53=0,13302012052334225354350322...

15/53=0,14104431004024145112455153...

16/53=0,14511245515314104431004024...

17/53=0,15314104431004024145112455...

18/53=0,20120523342253543503221330...

19/53=0,20523342253543503221330201...

20/53=0,21330201205233422535435032...

21/53=0,22133020120523342253543503...

22/53=0,22535435032213302012052334...

23/53=0,23342253543503221330201205...

24/53=0,24145112455153141044310040...

25/53=0,24551531410443100402414511...

26/53=0,25354350322133020120523342...

27/53=0,30201205233422535435032213...

28/53=0,31004024145112455153141044...

29/53=0,31410443100402414511245515...

30/53=0,32213302012052334225354350...

31/53=0,33020120523342253543503221...

32/53=0,33422535435032213302012052...

33/53=0,34225354350322133020120523...

34/53=0,35032213302012052334225354...

35/53=0,35435032213302012052334225...

36/53=0,40241451124551531410443100...

37/53=0,41044310040241451124551531...

38/53=0,41451124551531410443100402...

39/53=0,42253543503221330201205233...

40/53=0,43100402414511245515314104...

41/53=0,43503221330201205233422535...

42/53=0,44310040241451124551531410...

43/53=0,45112455153141044310040241...

44/53=0,45515314104431004024145112...

45/53=0,50322133020120523342253543...

46/53=0,51124551531410443100402414...

47/53=0,51531410443100402414511245...

48/53=0,52334225354350322133020120...

49/53=0,53141044310040241451124551...

50/53=0,53543503221330201205233422...

51/53=0,54350322133020120523342253...

52/53=0,55153141044310040241451124...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (26) est égal à 52 et donc au premier -1.