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Liste des fractions de n/61 en base 4.
Il existe 2 périodes de 30 chiffres pour n/61 en base 4.
Pour toutes les fractions de n/61 en base 4, la période de 1/61 revient alors 30 fois (en orange)
1/61=0,001003021130110332330312203223...
2/61=0,002012102320221331321231013112...
3/61=0,003021130110332330312203223001...
4/61=0,010030211301103323303122032230...
5/61=0,011033233031220322300100302113...
6/61=0,012102320221331321231013112002...
7/61=0,013112002012102320221331321231...
8/61=0,020121023202213313212310131120...
9/61=0,021130110332330312203223001003...
10/61=0,022133132123101311200201210232...
11/61=0,023202213313212310131120020121...
12/61=0,030211301103323303122032230010...
13/61=0,031220322300100302113011033233...
14/61=0,032230010030211301103323303122...
15/61=0,033233031220322300100302113011...
16/61=0,100302113011033233031220322300...
17/61=0,101311200201210232022133132123...
18/61=0,102320221331321231013112002012...
19/61=0,103323303122032230010030211301...
20/61=0,110332330312203223001003021130...
21/61=0,112002012102320221331321231013...
22/61=0,113011033233031220322300100302...
23/61=0,120020121023202213313212310131...
24/61=0,121023202213313212310131120020...
25/61=0,122032230010030211301103323303...
26/61=0,123101311200201210232022133132...
27/61=0,130110332330312203223001003021...
28/61=0,131120020121023202213313212310...
29/61=0,132123101311200201210232022133...
30/61=0,133132123101311200201210232022...
31/61=0,200201210232022133132123101311...
32/61=0,201210232022133132123101311200...
33/61=0,202213313212310131120020121023...
34/61=0,203223001003021130110332330312...
35/61=0,210232022133132123101311200201...
36/61=0,211301103323303122032230010030...
37/61=0,212310131120020121023202213313...
38/61=0,213313212310131120020121023202...
39/61=0,220322300100302113011033233031...
40/61=0,221331321231013112002012102320...
41/61=0,223001003021130110332330312203...
42/61=0,230010030211301103323303122032...
43/61=0,231013112002012102320221331321...
44/61=0,232022133132123101311200201210...
45/61=0,233031220322300100302113011033...
46/61=0,300100302113011033233031220322...
47/61=0,301103323303122032230010030211...
48/61=0,302113011033233031220322300100...
49/61=0,303122032230010030211301103323...
50/61=0,310131120020121023202213313212...
51/61=0,311200201210232022133132123101...
52/61=0,312203223001003021130110332330...
53/61=0,313212310131120020121023202213...
54/61=0,320221331321231013112002012102...
55/61=0,321231013112002012102320221331...
56/61=0,322300100302113011033233031220...
57/61=0,323303122032230010030211301103...
58/61=0,330312203223001003021130110332...
59/61=0,331321231013112002012102320221...
60/61=0,332330312203223001003021130110...
On remarque que le produit du nombre de périodes (2) et de leurs longueurs (30) est égal à 60 et donc au premier -1.