Liste des fractions de n/179 en base 4.

Il existe 2 périodes de 89 chiffres pour n/179 en base 4.

Pour toutes les fractions de n/179 en base 4, la période de 1/179 revient alors 89 fois (en orange)

1/179=0,00011232013313122310030313301230230111130331133310203300101022113212100130212213111012011...

2/179=0,00023130033232311220121233203121120222321322333221013200202110233030200321031032222030022...

3/179=0,00101022113212100130212213111012011000112320133131223100303133012302301111303311333102033...

4/179=0,00112320133131223100303133012302301111303311333102033001010221132121001302122131110120110...

5/179=0,00130212213111012011000112320133131223100303133012302301111303311333102033001010221132121...

6/179=0,00202110233030200321031032222030022000231300332323112201212332031211202223213223332210132...

7/179=0,00220002313003323231122012123320312112022232132233322101320020211023303020032103103222203...

8/179=0,00231300332323112201212332031211202223213223332210132002021102330302003210310322220300220...

9/179=0,00303133012302301111303311333102033001010221132121001302122131110120110001123201331312231...

10/179=0,00321031032222030022000231300332323112201212332031211202223213223332210132002021102330302...

11/179=0,00332323112201212332031211202223213223332210132002021102330302003210310322220300220002313...

12/179=0,01010221132121001302122131110120110001123201331312231003031330123023011113033113331020330...

13/179=0,01022113212100130212213111012011000112320133131223100303133012302301111303311333102033001...

14/179=0,01100011232013313122310030313301230230111130331133310203300101022113212100130212213111012...

15/179=0,01111303311333102033001010221132121001302122131110120110001123201331312231003031330123023...

16/179=0,01123201331312231003031330123023011113033113331020330010102211321210013021221311101201100...

17/179=0,01201100011232013313122310030313301230230111130331133310203300101022113212100130212213111...

18/179=0,01212332031211202223213223332210132002021102330302003210310322220300220002313003323231122...

19/179=0,01230230111130331133310203300101022113212100130212213111012011000112320133131223100303133...

20/179=0,01302122131110120110001123201331312231003031330123023011113033113331020330010102211321210...

21/179=0,01320020211023303020032103103222203002200023130033232311220121233203121120222321322333221...

22/179=0,01331312231003031330123023011113033113331020330010102211321210013021221311101201100011232...

23/179=0,02003210310322220300220002313003323231122012123320312112022232132233322101320020211023303...

24/179=0,02021102330302003210310322220300220002313003323231122012123320312112022232132233322101320...

25/179=0,02033001010221132121001302122131110120110001123201331312231003031330123023011113033113331...

26/179=0,02110233030200321031032222030022000231300332323112201212332031211202223213223332210132002...

27/179=0,02122131110120110001123201331312231003031330123023011113033113331020330010102211321210013...

28/179=0,02200023130033232311220121233203121120222321322333221013200202110233030200321031032222030...

29/179=0,02211321210013021221311101201100011232013313122310030313301230230111130331133310203300101...

30/179=0,02223213223332210132002021102330302003210310322220300220002313003323231122012123320312112...

31/179=0,02301111303311333102033001010221132121001302122131110120110001123201331312231003031330123...

32/179=0,02313003323231122012123320312112022232132233322101320020211023303020032103103222203002200...

33/179=0,02330302003210310322220300220002313003323231122012123320312112022232132233322101320020211...

34/179=0,03002200023130033232311220121233203121120222321322333221013200202110233030200321031032222...

35/179=0,03020032103103222203002200023130033232311220121233203121120222321322333221013200202110233...

36/179=0,03031330123023011113033113331020330010102211321210013021221311101201100011232013313122310...

37/179=0,03103222203002200023130033232311220121233203121120222321322333221013200202110233030200321...

38/179=0,03121120222321322333221013200202110233030200321031032222030022000231300332323112201212332...

39/179=0,03133012302301111303311333102033001010221132121001302122131110120110001123201331312231003...

40/179=0,03210310322220300220002313003323231122012123320312112022232132233322101320020211023303020...

41/179=0,03222203002200023130033232311220121233203121120222321322333221013200202110233030200321031...

42/179=0,03300101022113212100130212213111012011000112320133131223100303133012302301111303311333102...

43/179=0,03311333102033001010221132121001302122131110120110001123201331312231003031330123023011113...

44/179=0,03323231122012123320312112022232132233322101320020211023303020032103103222203002200023130...

45/179=0,10001123201331312231003031330123023011113033113331020330010102211321210013021221311101201...

46/179=0,10013021221311101201100011232013313122310030313301230230111130331133310203300101022113212...

47/179=0,10030313301230230111130331133310203300101022113212100130212213111012011000112320133131223...

48/179=0,10102211321210013021221311101201100011232013313122310030313301230230111130331133310203300...

49/179=0,10120110001123201331312231003031330123023011113033113331020330010102211321210013021221311...

50/179=0,10132002021102330302003210310322220300220002313003323231122012123320312112022232132233322...

51/179=0,10203300101022113212100130212213111012011000112320133131223100303133012302301111303311333...

52/179=0,10221132121001302122131110120110001123201331312231003031330123023011113033113331020330010...

53/179=0,10233030200321031032222030022000231300332323112201212332031211202223213223332210132002021...

54/179=0,10310322220300220002313003323231122012123320312112022232132233322101320020211023303020032...

55/179=0,10322220300220002313003323231122012123320312112022232132233322101320020211023303020032103...

56/179=0,11000112320133131223100303133012302301111303311333102033001010221132121001302122131110120...

57/179=0,11012011000112320133131223100303133012302301111303311333102033001010221132121001302122131...

58/179=0,11023303020032103103222203002200023130033232311220121233203121120222321322333221013200202...

59/179=0,11101201100011232013313122310030313301230230111130331133310203300101022113212100130212213...

60/179=0,11113033113331020330010102211321210013021221311101201100011232013313122310030313301230230...

61/179=0,11130331133310203300101022113212100130212213111012011000112320133131223100303133012302301...

62/179=0,11202223213223332210132002021102330302003210310322220300220002313003323231122012123320312...

63/179=0,11220121233203121120222321322333221013200202110233030200321031032222030022000231300332323...

64/179=0,11232013313122310030313301230230111130331133310203300101022113212100130212213111012011000...

65/179=0,11303311333102033001010221132121001302122131110120110001123201331312231003031330123023011...

66/179=0,11321210013021221311101201100011232013313122310030313301230230111130331133310203300101022...

67/179=0,11333102033001010221132121001302122131110120110001123201331312231003031330123023011113033...

68/179=0,12011000112320133131223100303133012302301111303311333102033001010221132121001302122131110...

69/179=0,12022232132233322101320020211023303020032103103222203002200023130033232311220121233203121...

70/179=0,12100130212213111012011000112320133131223100303133012302301111303311333102033001010221132...

71/179=0,12112022232132233322101320020211023303020032103103222203002200023130033232311220121233203...

72/179=0,12123320312112022232132233322101320020211023303020032103103222203002200023130033232311220...

73/179=0,12201212332031211202223213223332210132002021102330302003210310322220300220002313003323231...

74/179=0,12213111012011000112320133131223100303133012302301111303311333102033001010221132121001302...

75/179=0,12231003031330123023011113033113331020330010102211321210013021221311101201100011232013313...

76/179=0,12302301111303311333102033001010221132121001302122131110120110001123201331312231003031330...

77/179=0,12320133131223100303133012302301111303311333102033001010221132121001302122131110120110001...

78/179=0,12332031211202223213223332210132002021102330302003210310322220300220002313003323231122012...

79/179=0,13003323231122012123320312112022232132233322101320020211023303020032103103222203002200023...

80/179=0,13021221311101201100011232013313122310030313301230230111130331133310203300101022113212100...

81/179=0,13033113331020330010102211321210013021221311101201100011232013313122310030313301230230111...

82/179=0,13111012011000112320133131223100303133012302301111303311333102033001010221132121001302122...

83/179=0,13122310030313301230230111130331133310203300101022113212100130212213111012011000112320133...

84/179=0,13200202110233030200321031032222030022000231300332323112201212332031211202223213223332210...

85/179=0,13212100130212213111012011000112320133131223100303133012302301111303311333102033001010221...

86/179=0,13223332210132002021102330302003210310322220300220002313003323231122012123320312112022232...

87/179=0,13301230230111130331133310203300101022113212100130212213111012011000112320133131223100303...

88/179=0,13313122310030313301230230111130331133310203300101022113212100130212213111012011000112320...

89/179=0,13331020330010102211321210013021221311101201100011232013313122310030313301230230111130331...

90/179=0,20002313003323231122012123320312112022232132233322101320020211023303020032103103222203002...

91/179=0,20020211023303020032103103222203002200023130033232311220121233203121120222321322333221013...

92/179=0,20032103103222203002200023130033232311220121233203121120222321322333221013200202110233030...

93/179=0,20110001123201331312231003031330123023011113033113331020330010102211321210013021221311101...

94/179=0,20121233203121120222321322333221013200202110233030200321031032222030022000231300332323112...

95/179=0,20133131223100303133012302301111303311333102033001010221132121001302122131110120110001123...

96/179=0,20211023303020032103103222203002200023130033232311220121233203121120222321322333221013200...

97/179=0,20222321322333221013200202110233030200321031032222030022000231300332323112201212332031211...

98/179=0,20300220002313003323231122012123320312112022232132233322101320020211023303020032103103222...

99/179=0,20312112022232132233322101320020211023303020032103103222203002200023130033232311220121233...

100/179=0,20330010102211321210013021221311101201100011232013313122310030313301230230111130331133310...

101/179=0,21001302122131110120110001123201331312231003031330123023011113033113331020330010102211321...

102/179=0,21013200202110233030200321031032222030022000231300332323112201212332031211202223213223332...

103/179=0,21031032222030022000231300332323112201212332031211202223213223332210132002021102330302003...

104/179=0,21102330302003210310322220300220002313003323231122012123320312112022232132233322101320020...

105/179=0,21120222321322333221013200202110233030200321031032222030022000231300332323112201212332031...

106/179=0,21132121001302122131110120110001123201331312231003031330123023011113033113331020330010102...

107/179=0,21210013021221311101201100011232013313122310030313301230230111130331133310203300101022113...

108/179=0,21221311101201100011232013313122310030313301230230111130331133310203300101022113212100130...

109/179=0,21233203121120222321322333221013200202110233030200321031032222030022000231300332323112201...

110/179=0,21311101201100011232013313122310030313301230230111130331133310203300101022113212100130212...

111/179=0,21322333221013200202110233030200321031032222030022000231300332323112201212332031211202223...

112/179=0,22000231300332323112201212332031211202223213223332210132002021102330302003210310322220300...

113/179=0,22012123320312112022232132233322101320020211023303020032103103222203002200023130033232311...

114/179=0,22030022000231300332323112201212332031211202223213223332210132002021102330302003210310322...

115/179=0,22101320020211023303020032103103222203002200023130033232311220121233203121120222321322333...

116/179=0,22113212100130212213111012011000112320133131223100303133012302301111303311333102033001010...

117/179=0,22131110120110001123201331312231003031330123023011113033113331020330010102211321210013021...

118/179=0,22203002200023130033232311220121233203121120222321322333221013200202110233030200321031032...

119/179=0,22220300220002313003323231122012123320312112022232132233322101320020211023303020032103103...

120/179=0,22232132233322101320020211023303020032103103222203002200023130033232311220121233203121120...

121/179=0,22310030313301230230111130331133310203300101022113212100130212213111012011000112320133131...

122/179=0,22321322333221013200202110233030200321031032222030022000231300332323112201212332031211202...

123/179=0,22333221013200202110233030200321031032222030022000231300332323112201212332031211202223213...

124/179=0,23011113033113331020330010102211321210013021221311101201100011232013313122310030313301230...

125/179=0,23023011113033113331020330010102211321210013021221311101201100011232013313122310030313301...

126/179=0,23100303133012302301111303311333102033001010221132121001302122131110120110001123201331312...

127/179=0,23112201212332031211202223213223332210132002021102330302003210310322220300220002313003323...

128/179=0,23130033232311220121233203121120222321322333221013200202110233030200321031032222030022000...

129/179=0,23201331312231003031330123023011113033113331020330010102211321210013021221311101201100011...

130/179=0,23213223332210132002021102330302003210310322220300220002313003323231122012123320312112022...

131/179=0,23231122012123320312112022232132233322101320020211023303020032103103222203002200023130033...

132/179=0,23303020032103103222203002200023130033232311220121233203121120222321322333221013200202110...

133/179=0,23320312112022232132233322101320020211023303020032103103222203002200023130033232311220121...

134/179=0,23332210132002021102330302003210310322220300220002313003323231122012123320312112022232132...

135/179=0,30010102211321210013021221311101201100011232013313122310030313301230230111130331133310203...

136/179=0,30022000231300332323112201212332031211202223213223332210132002021102330302003210310322220...

137/179=0,30033232311220121233203121120222321322333221013200202110233030200321031032222030022000231...

138/179=0,30111130331133310203300101022113212100130212213111012011000112320133131223100303133012302...

139/179=0,30123023011113033113331020330010102211321210013021221311101201100011232013313122310030313...

140/179=0,30200321031032222030022000231300332323112201212332031211202223213223332210132002021102330...

141/179=0,30212213111012011000112320133131223100303133012302301111303311333102033001010221132121001...

142/179=0,30230111130331133310203300101022113212100130212213111012011000112320133131223100303133012...

143/179=0,30302003210310322220300220002313003323231122012123320312112022232132233322101320020211023...

144/179=0,30313301230230111130331133310203300101022113212100130212213111012011000112320133131223100...

145/179=0,30331133310203300101022113212100130212213111012011000112320133131223100303133012302301111...

146/179=0,31003031330123023011113033113331020330010102211321210013021221311101201100011232013313122...

147/179=0,31020330010102211321210013021221311101201100011232013313122310030313301230230111130331133...

148/179=0,31032222030022000231300332323112201212332031211202223213223332210132002021102330302003210...

149/179=0,31110120110001123201331312231003031330123023011113033113331020330010102211321210013021221...

150/179=0,31122012123320312112022232132233322101320020211023303020032103103222203002200023130033232...

151/179=0,31133310203300101022113212100130212213111012011000112320133131223100303133012302301111303...

152/179=0,31211202223213223332210132002021102330302003210310322220300220002313003323231122012123320...

153/179=0,31223100303133012302301111303311333102033001010221132121001302122131110120110001123201331...

154/179=0,31300332323112201212332031211202223213223332210132002021102330302003210310322220300220002...

155/179=0,31312231003031330123023011113033113331020330010102211321210013021221311101201100011232013...

156/179=0,31330123023011113033113331020330010102211321210013021221311101201100011232013313122310030...

157/179=0,32002021102330302003210310322220300220002313003323231122012123320312112022232132233322101...

158/179=0,32013313122310030313301230230111130331133310203300101022113212100130212213111012011000112...

159/179=0,32031211202223213223332210132002021102330302003210310322220300220002313003323231122012123...

160/179=0,32103103222203002200023130033232311220121233203121120222321322333221013200202110233030200...

161/179=0,32121001302122131110120110001123201331312231003031330123023011113033113331020330010102211...

162/179=0,32132233322101320020211023303020032103103222203002200023130033232311220121233203121120222...

163/179=0,32210132002021102330302003210310322220300220002313003323231122012123320312112022232132233...

164/179=0,32222030022000231300332323112201212332031211202223213223332210132002021102330302003210310...

165/179=0,32233322101320020211023303020032103103222203002200023130033232311220121233203121120222321...

166/179=0,32311220121233203121120222321322333221013200202110233030200321031032222030022000231300332...

167/179=0,32323112201212332031211202223213223332210132002021102330302003210310322220300220002313003...

168/179=0,33001010221132121001302122131110120110001123201331312231003031330123023011113033113331020...

169/179=0,33012302301111303311333102033001010221132121001302122131110120110001123201331312231003031...

170/179=0,33030200321031032222030022000231300332323112201212332031211202223213223332210132002021102...

171/179=0,33102033001010221132121001302122131110120110001123201331312231003031330123023011113033113...

172/179=0,33113331020330010102211321210013021221311101201100011232013313122310030313301230230111130...

173/179=0,33131223100303133012302301111303311333102033001010221132121001302122131110120110001123201...

174/179=0,33203121120222321322333221013200202110233030200321031032222030022000231300332323112201212...

175/179=0,33221013200202110233030200321031032222030022000231300332323112201212332031211202223213223...

176/179=0,33232311220121233203121120222321322333221013200202110233030200321031032222030022000231300...

177/179=0,33310203300101022113212100130212213111012011000112320133131223100303133012302301111303311...

178/179=0,33322101320020211023303020032103103222203002200023130033232311220121233203121120222321322...

On remarque que le produit du nombre de périodes (2) et de leurs longueurs (89) est égal à 178 et donc au premier -1.