A276695 - cp's OEIS frontend

A276695 P-defects p - N(p) of the congruence y^2 == x^3 - x^2 + 4*x - 4 (mod p) for primes p, where N(p) is the number of solutions given for p = prime(n) by A276664(n).

n	a(n)
1	0
2	2
3	-1
4	-2
5	0
6	2
7	-6
8	4
9	-6
10	6
11	4
12	2
13	6
14	10
15	6
16	-6
17	-12
18	2
19	-2
20	12
21	2
22	-8
23	-6
24	-6
25	2
26	6
27	-14
28	6
29	2
30	-6
31	-2
32	0
33	18
34	4
35	-6
36	-20
37	-22
38	10
39	-18
40	-6
41	12
42	-10
43	12
44	26
45	18
46	-8
47	16
48	10
49	6
50	14
51	-6
52	24
53	14
54	0
55	-6
56	18
57	18
58	-20
59	26
60	6

[0, 2, -1, -2, 0, 2, -6, 4, -6, 6, 4, 2, 6, 10, 6, -6, -12, 2, -2, 12, 2, -8, -6, -6, 2, 6, -14, 6, 2, -6, -2, 0, 18, 4, -6, -20, -22, 10, -18, -6, 12, -10, 12, 26, 18, -8, 16, 10, 6, 14, -6, 24, 14, 0, -6, 18, 18, -20, 26, 6]

cp's OEIS Frontend

A276695 P-defects p - N(p) of the congruence y^2 == x^3 - x^2 + 4*x - 4 (mod p) for primes p, where N(p) is the number of solutions given for p = prime(n) by A276664(n).

Table of values

List of values

n	a(n)
1	0
2	2
3	-1
4	-2
5	0
6	2
7	-6
8	4
9	-6
10	6
11	4
12	2
13	6
14	10
15	6
16	-6
17	-12
18	2
19	-2
20	12
21	2
22	-8
23	-6
24	-6
25	2
26	6
27	-14
28	6
29	2
30	-6
31	-2
32	0
33	18
34	4
35	-6
36	-20
37	-22
38	10
39	-18
40	-6
41	12
42	-10
43	12
44	26
45	18
46	-8
47	16
48	10
49	6
50	14
51	-6
52	24
53	14
54	0
55	-6
56	18
57	18
58	-20
59	26
60	6

n	a(n)
1	0
2	2
3	-1
4	-2
5	0
6	2
7	-6
8	4
9	-6
10	6
11	4
12	2
13	6
14	10
15	6
16	-6
17	-12
18	2
19	-2
20	12
21	2
22	-8
23	-6
24	-6
25	2
26	6
27	-14
28	6
29	2
30	-6
31	-2
32	0
33	18
34	4
35	-6
36	-20
37	-22
38	10
39	-18
40	-6
41	12
42	-10
43	12
44	26
45	18
46	-8
47	16
48	10
49	6
50	14
51	-6
52	24
53	14
54	0
55	-6
56	18
57	18
58	-20
59	26
60	6

n	a(n)
1	0
2	2
3	-1
4	-2
5	0
6	2
7	-6
8	4
9	-6
10	6
11	4
12	2
13	6
14	10
15	6
16	-6
17	-12
18	2
19	-2
20	12
21	2
22	-8
23	-6
24	-6
25	2
26	6
27	-14
28	6
29	2
30	-6
31	-2
32	0
33	18
34	4
35	-6
36	-20
37	-22
38	10
39	-18
40	-6
41	12
42	-10
43	12
44	26
45	18
46	-8
47	16
48	10
49	6
50	14
51	-6
52	24
53	14
54	0
55	-6
56	18
57	18
58	-20
59	26
60	6