( 397 ) 
= 19 a = 5 6 = 3 / = 11 
A 1, 7, 8, 11, 12, 18 2 2 1 
B 4, 6, 9, 10, 13, 15 2 13 
C 2, 3, 5, 14, 16, 17 13 2 
p = 31 a = 5 6 = 6 /= 25 
A 1, 2, 4, 8, 15, 16, 23, 27, 29, 30 3 4 2 
B 3, 6, 7, 12, 14, 17, 19, 24, 25, 28 4 2 4 
C 5, 9, 10, 11, 13, 18, 20, 21, 22, 26 2 4 4 
p = 37 a — — 4 6 = 3 /= 26 
J 1, 6, 8, 10, 11, 14, 23, 26, 27, 29, 31, 36 2 5 4 
B 2, 9, 12, 15, 16, 17, 20, 21, 22, 25, 28, 35 5 4 3 
C 3, 4, 5, 7, 13, 18, 19, 24, 30, 32, 33, 34 4 3 5 
p — 43 a = — 1 6 = 6 f = 36 
A 1,2, 4, 8,11,16,21,22,27,32,35,39,41,42 3 6 4 
ß 3,5, 6,10,12,19,20,23,24,31,33,37,38,40 6 4 4 
C 7, 9, 13, 14, 15, 17, 18, 25, 26, 28, 29, 30, 34, 36 4 4 6 
p = 61 a — 5 6 = 9 /= 13 
A 1, 3, 8, 9, 11, 20, 23, 24, 27, 28, 33, 34, 37, 6 8 5 
38. 41, 50, 52, 53, 58, 60 8 5 7 
B 4, 10, 12, 14, 17, 19, 25, 26, 29, 30, 31, 32, 5 7 8 
35, 36, 42, 44, 47, 49, 51, 57 
C 2, 5, 6, 7, 13, 15, 16, 18, 21, 22, 39, 40, 43, 
45, 46, 48, 54, 55, 56, 59 
Terwijl over het voorkomen van liet getal 3 in de groe- 
pen A, B , C op bovenstaande wijze vooruit beslist. is, kan 
men nu, met behnlp van de reciprociteits-wet, in de tbeorie 
der cubische resten gemakkelijk de kenmerken opstellen, 
noodig om bet voorkomen ook van andere getallen in deze 
klassen te onderkennen. Het is hierbij blijkbaar voldoende 
om alleen priemgetallen te beschouwen. 
Wat het priemgetal 2 betreft, kan men deze criteria, 
zonder hulp der reciprociteits-wet, aldus afleiden. 
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