A272198 - cp's OEIS frontend

A272198 The p-defect p - N(p) of the congruence y^2 == x^3 + 1 (mod p) for primes p, where N(p) is the number of solutions given by A272197(n).

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

[0, 0, 0, -4, 0, 2, 0, 8, 0, 0, -4, -10, 0, 8, 0, 0, 0, 14, -16, 0, -10, -4, 0, 0, 14, 0, 20, 0, 2, 0, 20, 0, 0, -16, 0, -4, 14, 8, 0, 0, 0, 26, 0, 2, 0, -28, -16, -28, 0, -22, 0, 0, 14, 0, 0, 0, 0, -28, 26, 0]

cp's OEIS Frontend

A272198 The p-defect p - N(p) of the congruence y^2 == x^3 + 1 (mod p) for primes p, where N(p) is the number of solutions given by A272197(n).

Table of values

List of values

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

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

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