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Liste des fractions de n/71 en base 3.
Il existe 2 périodes de 35 chiffres pour n/71 en base 3.
Pour toutes les fractions de n/71 en base 3, la période de 1/71 revient alors 35 fois (en orange)
1/71=0,00010102102000202112110011120012201...
2/71=0,00020211211001112001220100010102102...
3/71=0,00101021020002021121100111200122010...
4/71=0,00111200122010001010210200020211211...
5/71=0,00122010001010210200020211211001112...
6/71=0,00202112110011120012201000101021020...
7/71=0,00212221212012022202011011221110221...
8/71=0,01000101021020002021121100111200122...
9/71=0,01010210200020211211001112001220100...
10/71=0,01021020002021121100111200122010001...
11/71=0,01101122111022100212221212012022202...
12/71=0,01112001220100010102102000202112110...
13/71=0,01122111022100212221212012022202011...
14/71=0,01202220201101122111022100212221212...
15/71=0,01220100010102102000202112110011120...
16/71=0,02000202112110011120012201000101021...
17/71=0,02011011221110221002122212120120222...
18/71=0,02021121100111200122010001010210200...
19/71=0,02102000202112110011120012201000101...
20/71=0,02112110011120012201000101021020002...
21/71=0,02122212120120222020110112211102210...
22/71=0,02210021222121201202220201101122111...
23/71=0,02220201101122111022100212221212012...
24/71=0,10001010210200020211211001112001220...
25/71=0,10011120012201000101021020002021121...
26/71=0,10021222121201202220201101122111022...
27/71=0,10102102000202112110011120012201000...
28/71=0,10112211102210021222121201202220201...
29/71=0,10200020211211001112001220100010102...
30/71=0,10210200020211211001112001220100010...
31/71=0,10221002122212120120222020110112211...
32/71=0,11001112001220100010102102000202112...
33/71=0,11011221110221002122212120120222020...
34/71=0,11022100212221212012022202011011221...
35/71=0,11102210021222121201202220201101122...
36/71=0,11120012201000101021020002021121100...
37/71=0,11200122010001010210200020211211001...
38/71=0,11211001112001220100010102102000202...
39/71=0,11221110221002122212120120222020110...
40/71=0,12001220100010102102000202112110011...
41/71=0,12012022202011011221110221002122212...
42/71=0,12022202011011221110221002122212120...
43/71=0,12110011120012201000101021020002021...
44/71=0,12120120222020110112211102210021222...
45/71=0,12201000101021020002021121100111200...
46/71=0,12211102210021222121201202220201101...
47/71=0,12221212012022202011011221110221002...
48/71=0,20002021121100111200122010001010210...
49/71=0,20012201000101021020002021121100111...
50/71=0,20100010102102000202112110011120012...
51/71=0,20110112211102210021222121201202220...
52/71=0,20120222020110112211102210021222121...
53/71=0,20201101122111022100212221212012022...
54/71=0,20211211001112001220100010102102000...
55/71=0,20222020110112211102210021222121201...
56/71=0,21002122212120120222020110112211102...
57/71=0,21020002021121100111200122010001010...
58/71=0,21100111200122010001010210200020211...
59/71=0,21110221002122212120120222020110112...
60/71=0,21121100111200122010001010210200020...
61/71=0,21201202220201101122111022100212221...
62/71=0,21212012022202011011221110221002122...
63/71=0,21222121201202220201101122111022100...
64/71=0,22010001010210200020211211001112001...
65/71=0,22020110112211102210021222121201202...
66/71=0,22100212221212012022202011011221110...
67/71=0,22111022100212221212012022202011011...
68/71=0,22121201202220201101122111022100212...
69/71=0,22202011011221110221002122212120120...
70/71=0,22212120120222020110112211102210021...
On remarque que le produit du nombre de périodes (2) et de leurs longueurs (35) est égal à 70 et donc au premier -1.