A317244 - cp's OEIS frontend

A317244 For n >= 3, smallest prime number N such that for every prime p >= N, every element in Z_p can be expressed as a sum of two n-gonal numbers mod p, without allowing zero as a summand.

n	a(n)
3	11
4	11
5	11
6	11
7	11
8	11
9	11
10	11
11	11
12	11
13	11
14	13
15	11
16	11
17	11
18	11
19	11
20	11
21	11
22	23
23	11
24	11
25	13
26	29
27	11
28	11
29	11
30	11
31	11
32	11
33	11
34	37
35	11
36	13
37	11
38	11
39	11
40	11
41	23
42	11
43	11
44	11
45	11
46	47
47	13
48	11
49	29
50	53
51	11
52	11
53	11
54	11
55	11
56	11
57	11
58	13
59	11
60	23
61	11
62	61
63	11
64	11
65	37
66	11
67	11
68	11
69	13
70	71
71	11
72	29
73	11
74	73
75	11
76	11
77	11
78	11
79	23
80	13
81	11
82	83
83	11
84	11
85	11
86	89
87	11
88	11
89	47
90	11
91	13
92	11
93	11
94	11
95	29
96	37
97	53
98	23
99	11

[11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 13, 11, 11, 11, 11, 11, 11, 11, 23, 11, 11, 13, 29, 11, 11, 11, 11, 11, 11, 11, 37, 11, 13, 11, 11, 11, 11, 23, 11, 11, 11, 11, 47, 13, 11, 29, 53, 11, 11, 11, 11, 11, 11, 11, 13, 11, 23, 11, 61, 11, 11, 37, 11, 11, 11, 13, 71, 11, 29, 11, 73, 11, 11, 11, 11, 23, 13, 11, 83, 11, 11, 11, 89, 11, 11, 47, 11, 13, 11, 11, 11, 29, 37, 53, 23, 11]

cp's OEIS Frontend

A317244 For n >= 3, smallest prime number N such that for every prime p >= N, every element in Z_p can be expressed as a sum of two n-gonal numbers mod p, without allowing zero as a summand.

Table of values

List of values

n	a(n)
3	11
4	11
5	11
6	11
7	11
8	11
9	11
10	11
11	11
12	11
13	11
14	13
15	11
16	11
17	11
18	11
19	11
20	11
21	11
22	23
23	11
24	11
25	13
26	29
27	11
28	11
29	11
30	11
31	11
32	11
33	11
34	37
35	11
36	13
37	11
38	11
39	11
40	11
41	23
42	11
43	11
44	11
45	11
46	47
47	13
48	11
49	29
50	53
51	11
52	11
53	11
54	11
55	11
56	11
57	11
58	13
59	11
60	23
61	11
62	61
63	11
64	11
65	37
66	11
67	11
68	11
69	13
70	71
71	11
72	29
73	11
74	73
75	11
76	11
77	11
78	11
79	23
80	13
81	11
82	83
83	11
84	11
85	11
86	89
87	11
88	11
89	47
90	11
91	13
92	11
93	11
94	11
95	29
96	37
97	53
98	23
99	11

n	a(n)
3	11
4	11
5	11
6	11
7	11
8	11
9	11
10	11
11	11
12	11
13	11
14	13
15	11
16	11
17	11
18	11
19	11
20	11
21	11
22	23
23	11
24	11
25	13
26	29
27	11
28	11
29	11
30	11
31	11
32	11
33	11
34	37
35	11
36	13
37	11
38	11
39	11
40	11
41	23
42	11
43	11
44	11
45	11
46	47
47	13
48	11
49	29
50	53
51	11
52	11
53	11
54	11
55	11
56	11
57	11
58	13
59	11
60	23
61	11
62	61
63	11
64	11
65	37
66	11
67	11
68	11
69	13
70	71
71	11
72	29
73	11
74	73
75	11
76	11
77	11
78	11
79	23
80	13
81	11
82	83
83	11
84	11
85	11
86	89
87	11
88	11
89	47
90	11
91	13
92	11
93	11
94	11
95	29
96	37
97	53
98	23
99	11

n	a(n)
3	11
4	11
5	11
6	11
7	11
8	11
9	11
10	11
11	11
12	11
13	11
14	13
15	11
16	11
17	11
18	11
19	11
20	11
21	11
22	23
23	11
24	11
25	13
26	29
27	11
28	11
29	11
30	11
31	11
32	11
33	11
34	37
35	11
36	13
37	11
38	11
39	11
40	11
41	23
42	11
43	11
44	11
45	11
46	47
47	13
48	11
49	29
50	53
51	11
52	11
53	11
54	11
55	11
56	11
57	11
58	13
59	11
60	23
61	11
62	61
63	11
64	11
65	37
66	11
67	11
68	11
69	13
70	71
71	11
72	29
73	11
74	73
75	11
76	11
77	11
78	11
79	23
80	13
81	11
82	83
83	11
84	11
85	11
86	89
87	11
88	11
89	47
90	11
91	13
92	11
93	11
94	11
95	29
96	37
97	53
98	23
99	11