Liste des fractions de n/73 en base 6.

Il existe 2 périodes de 36 chiffres pour n/73 en base 6.

Pour toutes les fractions de n/73 en base 6, la période de 1/73 revient alors 36 fois (en orange)

1/73=0,002543042344035400553012513211520155...

2/73=0,005530125132115201550025430423440354...

3/73=0,012513211520155002543042344035400553...

4/73=0,015500254304234403540055301251321152...

5/73=0,022443341052314204533112214503241351...

6/73=0,025430423440354005530125132115201550...

7/73=0,032413510224433410523142045331122145...

8/73=0,035400553012513211520155002543042344...

9/73=0,042344035400553012513211520155002543...

10/73=0,045331122145032413510224433410523142...

11/73=0,052314204533112214503241351022443341...

12/73=0,055301251321152015500254304234403540...

13/73=0,102244334105231420453311221450324135...

14/73=0,105231420453311221450324135102244334...

15/73=0,112214503241351022443341052314204533...

16/73=0,115201550025430423440354005530125132...

17/73=0,122145032413510224433410523142045331...

18/73=0,125132115201550025430423440354005530...

19/73=0,132115201550025430423440354005530125...

20/73=0,135102244334105231420453311221450324...

21/73=0,142045331122145032413510224433410523...

22/73=0,145032413510224433410523142045331122...

23/73=0,152015500254304234403540055301251321...

24/73=0,155002543042344035400553012513211520...

25/73=0,201550025430423440354005530125132115...

26/73=0,204533112214503241351022443341052314...

27/73=0,211520155002543042344035400553012513...

28/73=0,214503241351022443341052314204533112...

29/73=0,221450324135102244334105231420453311...

30/73=0,224433410523142045331122145032413510...

31/73=0,231420453311221450324135102244334105...

32/73=0,234403540055301251321152015500254304...

33/73=0,241351022443341052314204533112214503...

34/73=0,244334105231420453311221450324135102...

35/73=0,251321152015500254304234403540055301...

36/73=0,254304234403540055301251321152015500...

37/73=0,301251321152015500254304234403540055...

38/73=0,304234403540055301251321152015500254...

39/73=0,311221450324135102244334105231420453...

40/73=0,314204533112214503241351022443341052...

41/73=0,321152015500254304234403540055301251...

42/73=0,324135102244334105231420453311221450...

43/73=0,331122145032413510224433410523142045...

44/73=0,334105231420453311221450324135102244...

45/73=0,341052314204533112214503241351022443...

46/73=0,344035400553012513211520155002543042...

47/73=0,351022443341052314204533112214503241...

48/73=0,354005530125132115201550025430423440...

49/73=0,400553012513211520155002543042344035...

50/73=0,403540055301251321152015500254304234...

51/73=0,410523142045331122145032413510224433...

52/73=0,413510224433410523142045331122145032...

53/73=0,420453311221450324135102244334105231...

54/73=0,423440354005530125132115201550025430...

55/73=0,430423440354005530125132115201550025...

56/73=0,433410523142045331122145032413510224...

57/73=0,440354005530125132115201550025430423...

58/73=0,443341052314204533112214503241351022...

59/73=0,450324135102244334105231420453311221...

60/73=0,453311221450324135102244334105231420...

61/73=0,500254304234403540055301251321152015...

62/73=0,503241351022443341052314204533112214...

63/73=0,510224433410523142045331122145032413...

64/73=0,513211520155002543042344035400553012...

65/73=0,520155002543042344035400553012513211...

66/73=0,523142045331122145032413510224433410...

67/73=0,530125132115201550025430423440354005...

68/73=0,533112214503241351022443341052314204...

69/73=0,540055301251321152015500254304234403...

70/73=0,543042344035400553012513211520155002...

71/73=0,550025430423440354005530125132115201...

72/73=0,553012513211520155002543042344035400...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (36) est égal à 72 et donc au premier -1.