A260911 - cp's OEIS frontend

A260911 Least positive integer k < prime(n) such that there are 0 < i < j < k for which i^2 + j^2 = k^2 and i,j,k are all quadratic residues modulo prime(n), or 0 if no such k exists.

n	a(n)
1	0
2	0
3	0
4	0
5	5
6	0
7	0
8	0
9	0
10	25
11	0
12	34
13	0
14	41
15	25
16	25
17	5
18	5
19	26
20	5
21	37
22	0
23	41
24	0
25	0
26	65
27	17
28	34
29	5
30	61
31	17
32	5
33	17
34	25
35	25
36	29
37	37
38	26
39	25
40	41
41	5
42	5
43	5
44	25
45	25
46	53
47	34
48	17
49	34
50	5
51	109
52	5
53	5
54	5
55	17
56	37
57	34
58	41
59	34
60	53

[0, 0, 0, 0, 5, 0, 0, 0, 0, 25, 0, 34, 0, 41, 25, 25, 5, 5, 26, 5, 37, 0, 41, 0, 0, 65, 17, 34, 5, 61, 17, 5, 17, 25, 25, 29, 37, 26, 25, 41, 5, 5, 5, 25, 25, 53, 34, 17, 34, 5, 109, 5, 5, 5, 17, 37, 34, 41, 34, 53]

cp's OEIS Frontend

A260911 Least positive integer k < prime(n) such that there are 0 < i < j < k for which i^2 + j^2 = k^2 and i,j,k are all quadratic residues modulo prime(n), or 0 if no such k exists.

Table of values

List of values

n	a(n)
1	0
2	0
3	0
4	0
5	5
6	0
7	0
8	0
9	0
10	25
11	0
12	34
13	0
14	41
15	25
16	25
17	5
18	5
19	26
20	5
21	37
22	0
23	41
24	0
25	0
26	65
27	17
28	34
29	5
30	61
31	17
32	5
33	17
34	25
35	25
36	29
37	37
38	26
39	25
40	41
41	5
42	5
43	5
44	25
45	25
46	53
47	34
48	17
49	34
50	5
51	109
52	5
53	5
54	5
55	17
56	37
57	34
58	41
59	34
60	53

n	a(n)
1	0
2	0
3	0
4	0
5	5
6	0
7	0
8	0
9	0
10	25
11	0
12	34
13	0
14	41
15	25
16	25
17	5
18	5
19	26
20	5
21	37
22	0
23	41
24	0
25	0
26	65
27	17
28	34
29	5
30	61
31	17
32	5
33	17
34	25
35	25
36	29
37	37
38	26
39	25
40	41
41	5
42	5
43	5
44	25
45	25
46	53
47	34
48	17
49	34
50	5
51	109
52	5
53	5
54	5
55	17
56	37
57	34
58	41
59	34
60	53

n	a(n)
1	0
2	0
3	0
4	0
5	5
6	0
7	0
8	0
9	0
10	25
11	0
12	34
13	0
14	41
15	25
16	25
17	5
18	5
19	26
20	5
21	37
22	0
23	41
24	0
25	0
26	65
27	17
28	34
29	5
30	61
31	17
32	5
33	17
34	25
35	25
36	29
37	37
38	26
39	25
40	41
41	5
42	5
43	5
44	25
45	25
46	53
47	34
48	17
49	34
50	5
51	109
52	5
53	5
54	5
55	17
56	37
57	34
58	41
59	34
60	53