COMMENTATIO РЫМА.
75
69, 71, 72
63, 66, 68
61, 67, 70
58, 60, 62
А
В
С
D
р == 89
д=Ъ, /=34
1- 2, 4, 8, 1 1, 16, 22, 25, 32, 39, 44, 45, 50, 57, 64, 67, 73, 78, 81, 85,
87, 88
3, 6, 7, 12, 14, 23, 24, 28, 33, 41, 43, 46, 48, 56, 61, 65, 66, 75, 77, 82,
83, 86
5, 9, 10, 17, 18, 20, 21, 34, 36, 40, 42, 47, 49, 53, 55, 68, 69, 71, 72, 79,
80, 84
13, 15, 1 9, 26, 27, 29, 30, 31, 35, 37, 38, 51, 52, 54, 58, 59, 60, 62, 63, 70,
74, 76
Л
в
с
D
р = 97
9 = 5, / = 22
1, 4, 6, 9, 16, 22, 24, 33, 35, 36, 43, 47, 50, 54, 61. 62, 64, 73, 75, 81,
88, 91, 93, 96
5, 13, 14, 17, 19, 20, 21, 23, 29, 30, 41, 45, 52, 56, 67, 68, 74, 76, 77, 78,
80, 83, 84, 92
2, 3, 8, И, 12, 18, 25, 27, 31, 32, 44, 48, 49, 53, 65, 66, 70, 72, 79, 85,
86, 89, 94, 95
7, 10, 15, 26, 28, 34, 37, 38, 39, 40, 42, 46, 51, 55, 57, 58, 59, 60. 63, 69,
71, 82, 87, 90
1 2.
Quum numerus 2 sit residuum quadraticum omnium numerorum primorum
formae 8ft-f~C non-residuum vero omnium formae 8 ^ —)— 5, pro modulis primis
formae prioris 2 in classe A vel C, pro modulis formae posterioris in classe B
vel D invenietur. Quum discrimen inter classes B ei D non sit essentiale,
quippe quod tantummodo ab electione numeri f pendet, modulos formae 8w-}-5
aliquantisper seponemus. Modulos formae 8w-)-l autem inductioni subiiciendo,
invenimus 2 pertinere ad A pro p — 73, 89, 1 13, 233, 257, 281, 337, 353 etc.;
contra 2 pertinere ad C pro p = 17, 41, 97, 137, 193, 241, 313, 401, 409, 433,
449, 457 etc.
Ceterum quum pro modulo primo formae %n-\-\ numerus —1 sit residuum
biquadraticum, patet, —2 semper cum -\-1 ad eandem classem referendum esse.
10*