Liste des fractions de n/179 en base 3.
Il existe 2 périodes de 89 chiffres pour n/179 en base 3.
Pour toutes les fractions de n/179 en base 3, la période de 1/179 revient alors 89 fois (en orange)
1/179=0,00001100122122111102110112000202100210201110100221210102022110001210212112022220021200201...
2/179=0,00002201022021222211221001001111201121102220201220120211121220010121202001122210120101102...
3/179=0,00011001221221111021101120002021002102011101002212101020221100012102121120222200212002010...
4/179=0,00012102121120222200212002010000110012212211110211011200020210021020111010022121010202211...
5/179=0,00020210021020111010022121010202211000121021211202222002120020100001100122122111102110112...
6/179=0,00022010220212222112210010011112011211022202012201202111212200101212020011222101201011020...
7/179=0,00100111120112110222020122012021112122001012120200112221012010110200002201022021222211221...
8/179=0,00101212020011222101201011020000220102202122221122100100111120112110222020122012021112122...
9/179=0,00110012212211110211011200020210021020111010022121010202211000121021211202222002120020100...
10/179=0,00111120112110222020122012021112122001012120200112221012010110200002201022021222211221001...
11/179=0,00112221012010110200002201022021222211221001001111201121102220201220120211121220010121202...
12/179=0,00121021211202222002120020100001100122122111102110112000202100210201110100221210102022110...
13/179=0,00122122111102110112000202100210201110100221210102022110001210212112022220021200201000011...
14/179=0,00201000011001221221111021101120002021002102011101002212101020221100012102121120222200212...
15/179=0,00202100210201110100221210102022110001210212112022220021200201000011001221221111021101120...
16/179=0,00210201110100221210102022110001210212112022220021200201000011001221221111021101120002021...
17/179=0,00212002010000110012212211110211011200020210021020111010022121010202211000121021211202222...
18/179=0,00220102202122221122100100111120112110222020122012021112122001012120200112221012010110200...
19/179=0,00221210102022110001210212112022220021200201000011001221221111021101120002021002102011101...
20/179=0,01000011001221221111021101120002021002102011101002212101020221100012102121120222200212002...
21/179=0,01001111201121102220201220120211121220010121202001122210120101102000022010220212222112210...
22/179=0,01002212101020221100012102121120222200212002010000110012212211110211011200020210021020111...
23/179=0,01011020000220102202122221122100100111120112110222020122012021112122001012120200112221012...
24/179=0,01012120200112221012010110200002201022021222211221001001111201121102220201220120211121220...
25/179=0,01020221100012102121120222200212002010000110012212211110211011200020210021020111010022121...
26/179=0,01022021222211221001001111201121102220201220120211121220010121202001122210120101102000022...
27/179=0,01100122122111102110112000202100210201110100221210102022110001210212112022220021200201000...
28/179=0,01102000022010220212222112210010011112011211022202012201202111212200101212020011222101201...
29/179=0,01110100221210102022110001210212112022220021200201000011001221221111021101120002021002102...
30/179=0,01111201121102220201220120211121220010121202001122210120101102000022010220212222112210010...
31/179=0,01120002021002102011101002212101020221100012102121120222200212002010000110012212211110211...
32/179=0,01121102220201220120211121220010121202001122210120101102000022010220212222112210010011112...
33/179=0,01122210120101102000022010220212222112210010011112011211022202012201202111212200101212020...
34/179=0,01201011020000220102202122221122100100111120112110222020122012021112122001012120200112221...
35/179=0,01202111212200101212020011222101201011020000220102202122221122100100111120112110222020122...
36/179=0,01210212112022220021200201000011001221221111021101120002021002102011101002212101020221100...
37/179=0,01212020011222101201011020000220102202122221122100100111120112110222020122012021112122001...
38/179=0,01220120211121220010121202001122210120101102000022010220212222112210010011112011211022202...
39/179=0,01221221111021101120002021002102011101002212101020221100012102121120222200212002010000110...
40/179=0,02000022010220212222112210010011112011211022202012201202111212200101212020011222101201011...
41/179=0,02001122210120101102000022010220212222112210010011112011211022202012201202111212200101212...
42/179=0,02010000110012212211110211011200020210021020111010022121010202211000121021211202222002120...
43/179=0,02011101002212101020221100012102121120222200212002010000110012212211110211011200020210021...
44/179=0,02012201202111212200101212020011222101201011020000220102202122221122100100111120112110222...
45/179=0,02021002102011101002212101020221100012102121120222200212002010000110012212211110211011200...
46/179=0,02022110001210212112022220021200201000011001221221111021101120002021002102011101002212101...
47/179=0,02100210201110100221210102022110001210212112022220021200201000011001221221111021101120002...
48/179=0,02102011101002212101020221100012102121120222200212002010000110012212211110211011200020210...
49/179=0,02110112000202100210201110100221210102022110001210212112022220021200201000011001221221111...
50/179=0,02111212200101212020011222101201011020000220102202122221122100100111120112110222020122012...
51/179=0,02120020100001100122122111102110112000202100210201110100221210102022110001210212112022220...
52/179=0,02121120222200212002010000110012212211110211011200020210021020111010022121010202211000121...
53/179=0,02122221122100100111120112110222020122012021112122001012120200112221012010110200002201022...
54/179=0,02201022021222211221001001111201121102220201220120211121220010121202001122210120101102000...
55/179=0,02202122221122100100111120112110222020122012021112122001012120200112221012010110200002201...
56/179=0,02211000121021211202222002120020100001100122122111102110112000202100210201110100221210102...
57/179=0,02212101020221100012102121120222200212002010000110012212211110211011200020210021020111010...
58/179=0,02220201220120211121220010121202001122210120101102000022010220212222112210010011112011211...
59/179=0,02222002120020100001100122122111102110112000202100210201110100221210102022110001210212112...
60/179=0,10000110012212211110211011200020210021020111010022121010202211000121021211202222002120020...
61/179=0,10001210212112022220021200201000011001221221111021101120002021002102011101002212101020221...
62/179=0,10010011112011211022202012201202111212200101212020011222101201011020000220102202122221122...
63/179=0,10011112011211022202012201202111212200101212020011222101201011020000220102202122221122100...
64/179=0,10012212211110211011200020210021020111010022121010202211000121021211202222002120020100001...
65/179=0,10021020111010022121010202211000121021211202222002120020100001100122122111102110112000202...
66/179=0,10022121010202211000121021211202222002120020100001100122122111102110112000202100210201110...
67/179=0,10100221210102022110001210212112022220021200201000011001221221111021101120002021002102011...
68/179=0,10102022110001210212112022220021200201000011001221221111021101120002021002102011101002212...
69/179=0,10110200002201022021222211221001001111201121102220201220120211121220010121202001122210120...
70/179=0,10112000202100210201110100221210102022110001210212112022220021200201000011001221221111021...
71/179=0,10120101102000022010220212222112210010011112011211022202012201202111212200101212020011222...
72/179=0,10121202001122210120101102000022010220212222112210010011112011211022202012201202111212200...
73/179=0,10200002201022021222211221001001111201121102220201220120211121220010121202001122210120101...
74/179=0,10201110100221210102022110001210212112022220021200201000011001221221111021101120002021002...
75/179=0,10202211000121021211202222002120020100001100122122111102110112000202100210201110100221210...
76/179=0,10211011200020210021020111010022121010202211000121021211202222002120020100001100122122111...
77/179=0,10212112022220021200201000011001221221111021101120002021002102011101002212101020221100012...
78/179=0,10220212222112210010011112011211022202012201202111212200101212020011222101201011020000220...
79/179=0,10222020122012021112122001012120200112221012010110200002201022021222211221001001111201121...
80/179=0,11000121021211202222002120020100001100122122111102110112000202100210201110100221210102022...
81/179=0,11001221221111021101120002021002102011101002212101020221100012102121120222200212002010000...
82/179=0,11010022121010202211000121021211202222002120020100001100122122111102110112000202100210201...
83/179=0,11011200020210021020111010022121010202211000121021211202222002120020100001100122122111102...
84/179=0,11020000220102202122221122100100111120112110222020122012021112122001012120200112221012010...
85/179=0,11021101120002021002102011101002212101020221100012102121120222200212002010000110012212211...
86/179=0,11022202012201202111212200101212020011222101201011020000220102202122221122100100111120112...
87/179=0,11101002212101020221100012102121120222200212002010000110012212211110211011200020210021020...
88/179=0,11102110112000202100210201110100221210102022110001210212112022220021200201000011001221221...
89/179=0,11110211011200020210021020111010022121010202211000121021211202222002120020100001100122122...
90/179=0,11112011211022202012201202111212200101212020011222101201011020000220102202122221122100100...
91/179=0,11120112110222020122012021112122001012120200112221012010110200002201022021222211221001001...
92/179=0,11121220010121202001122210120101102000022010220212222112210010011112011211022202012201202...
93/179=0,11200020210021020111010022121010202211000121021211202222002120020100001100122122111102110...
94/179=0,11201121102220201220120211121220010121202001122210120101102000022010220212222112210010011...
95/179=0,11202222002120020100001100122122111102110112000202100210201110100221210102022110001210212...
96/179=0,11211022202012201202111212200101212020011222101201011020000220102202122221122100100111120...
97/179=0,11212200101212020011222101201011020000220102202122221122100100111120112110222020122012021...
98/179=0,11221001001111201121102220201220120211121220010121202001122210120101102000022010220212222...
99/179=0,11222101201011020000220102202122221122100100111120112110222020122012021112122001012120200...
100/179=0,12000202100210201110100221210102022110001210212112022220021200201000011001221221111021101...
101/179=0,12002010000110012212211110211011200020210021020111010022121010202211000121021211202222002...
102/179=0,12010110200002201022021222211221001001111201121102220201220120211121220010121202001122210...
103/179=0,12011211022202012201202111212200101212020011222101201011020000220102202122221122100100111...
104/179=0,12020011222101201011020000220102202122221122100100111120112110222020122012021112122001012...
105/179=0,12021112122001012120200112221012010110200002201022021222211221001001111201121102220201220...
106/179=0,12022220021200201000011001221221111021101120002021002102011101002212101020221100012102121...
107/179=0,12101020221100012102121120222200212002010000110012212211110211011200020210021020111010022...
108/179=0,12102121120222200212002010000110012212211110211011200020210021020111010022121010202211000...
109/179=0,12110222020122012021112122001012120200112221012010110200002201022021222211221001001111201...
110/179=0,12112022220021200201000011001221221111021101120002021002102011101002212101020221100012102...
111/179=0,12120200112221012010110200002201022021222211221001001111201121102220201220120211121220010...
112/179=0,12122001012120200112221012010110200002201022021222211221001001111201121102220201220120211...
113/179=0,12200101212020011222101201011020000220102202122221122100100111120112110222020122012021112...
114/179=0,12201202111212200101212020011222101201011020000220102202122221122100100111120112110222020...
115/179=0,12210010011112011211022202012201202111212200101212020011222101201011020000220102202122221...
116/179=0,12211110211011200020210021020111010022121010202211000121021211202222002120020100001100122...
117/179=0,12212211110211011200020210021020111010022121010202211000121021211202222002120020100001100...
118/179=0,12221012010110200002201022021222211221001001111201121102220201220120211121220010121202001...
119/179=0,12222112210010011112011211022202012201202111212200101212020011222101201011020000220102202...
120/179=0,20000220102202122221122100100111120112110222020122012021112122001012120200112221012010110...
121/179=0,20002021002102011101002212101020221100012102121120222200212002010000110012212211110211011...
122/179=0,20010121202001122210120101102000022010220212222112210010011112011211022202012201202111212...
123/179=0,20011222101201011020000220102202122221122100100111120112110222020122012021112122001012120...
124/179=0,20020100001100122122111102110112000202100210201110100221210102022110001210212112022220021...
125/179=0,20021200201000011001221221111021101120002021002102011101002212101020221100012102121120222...
126/179=0,20100001100122122111102110112000202100210201110100221210102022110001210212112022220021200...
127/179=0,20101102000022010220212222112210010011112011211022202012201202111212200101212020011222101...
128/179=0,20102202122221122100100111120112110222020122012021112122001012120200112221012010110200002...
129/179=0,20111010022121010202211000121021211202222002120020100001100122122111102110112000202100210...
130/179=0,20112110222020122012021112122001012120200112221012010110200002201022021222211221001001111...
131/179=0,20120211121220010121202001122210120101102000022010220212222112210010011112011211022202012...
132/179=0,20122012021112122001012120200112221012010110200002201022021222211221001001111201121102220...
133/179=0,20200112221012010110200002201022021222211221001001111201121102220201220120211121220010121...
134/179=0,20201220120211121220010121202001122210120101102000022010220212222112210010011112011211022...
135/179=0,20210021020111010022121010202211000121021211202222002120020100001100122122111102110112000...
136/179=0,20211121220010121202001122210120101102000022010220212222112210010011112011211022202012201...
137/179=0,20212222112210010011112011211022202012201202111212200101212020011222101201011020000220102...
138/179=0,20221100012102121120222200212002010000110012212211110211011200020210021020111010022121010...
139/179=0,20222200212002010000110012212211110211011200020210021020111010022121010202211000121021211...
140/179=0,21001001111201121102220201220120211121220010121202001122210120101102000022010220212222112...
141/179=0,21002102011101002212101020221100012102121120222200212002010000110012212211110211011200020...
142/179=0,21010202211000121021211202222002120020100001100122122111102110112000202100210201110100221...
143/179=0,21012010110200002201022021222211221001001111201121102220201220120211121220010121202001122...
144/179=0,21020111010022121010202211000121021211202222002120020100001100122122111102110112000202100...
145/179=0,21021211202222002120020100001100122122111102110112000202100210201110100221210102022110001...
146/179=0,21100012102121120222200212002010000110012212211110211011200020210021020111010022121010202...
147/179=0,21101120002021002102011101002212101020221100012102121120222200212002010000110012212211110...
148/179=0,21102220201220120211121220010121202001122210120101102000022010220212222112210010011112011...
149/179=0,21111021101120002021002102011101002212101020221100012102121120222200212002010000110012212...
150/179=0,21112122001012120200112221012010110200002201022021222211221001001111201121102220201220120...
151/179=0,21120222200212002010000110012212211110211011200020210021020111010022121010202211000121021...
152/179=0,21122100100111120112110222020122012021112122001012120200112221012010110200002201022021222...
153/179=0,21200201000011001221221111021101120002021002102011101002212101020221100012102121120222200...
154/179=0,21202001122210120101102000022010220212222112210010011112011211022202012201202111212200101...
155/179=0,21210102022110001210212112022220021200201000011001221221111021101120002021002102011101002...
156/179=0,21211202222002120020100001100122122111102110112000202100210201110100221210102022110001210...
157/179=0,21220010121202001122210120101102000022010220212222112210010011112011211022202012201202111...
158/179=0,21221111021101120002021002102011101002212101020221100012102121120222200212002010000110012...
159/179=0,21222211221001001111201121102220201220120211121220010121202001122210120101102000022010220...
160/179=0,22001012120200112221012010110200002201022021222211221001001111201121102220201220120211121...
161/179=0,22002120020100001100122122111102110112000202100210201110100221210102022110001210212112022...
162/179=0,22010220212222112210010011112011211022202012201202111212200101212020011222101201011020000...
163/179=0,22012021112122001012120200112221012010110200002201022021222211221001001111201121102220201...
164/179=0,22020122012021112122001012120200112221012010110200002201022021222211221001001111201121102...
165/179=0,22021222211221001001111201121102220201220120211121220010121202001122210120101102000022010...
166/179=0,22100100111120112110222020122012021112122001012120200112221012010110200002201022021222211...
167/179=0,22101201011020000220102202122221122100100111120112110222020122012021112122001012120200112...
168/179=0,22110001210212112022220021200201000011001221221111021101120002021002102011101002212101020...
169/179=0,22111102110112000202100210201110100221210102022110001210212112022220021200201000011001221...
170/179=0,22112210010011112011211022202012201202111212200101212020011222101201011020000220102202122...
171/179=0,22121010202211000121021211202222002120020100001100122122111102110112000202100210201110100...
172/179=0,22122111102110112000202100210201110100221210102022110001210212112022220021200201000011001...
173/179=0,22200212002010000110012212211110211011200020210021020111010022121010202211000121021211202...
174/179=0,22202012201202111212200101212020011222101201011020000220102202122221122100100111120112110...
175/179=0,22210120101102000022010220212222112210010011112011211022202012201202111212200101212020011...
176/179=0,22211221001001111201121102220201220120211121220010121202001122210120101102000022010220212...
177/179=0,22220021200201000011001221221111021101120002021002102011101002212101020221100012102121120...
178/179=0,22221122100100111120112110222020122012021112122001012120200112221012010110200002201022021...
On remarque que le produit du nombre de périodes (2) et de leurs longueurs (89) est égal à 178 et donc au premier -1.