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.