A294615 - cp's OEIS frontend

A294615 a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0.

n	a(n)
1	0
2	29
3	67
4	233
5	491
6	661
7	911
8	0
9	1747
10	2861
11	2531
12	2857
13	7307
14	4733
15	5791
16	7457
17	9011
18	7309
19	14327
20	11801
21	11047
22	14741
23	67391
24	26737
25	16451
26	14717
27	32779
28	41609
29	24071
30	30661

[0, 29, 67, 233, 491, 661, 911, 0, 1747, 2861, 2531, 2857, 7307, 4733, 5791, 7457, 9011, 7309, 14327, 11801, 11047, 14741, 67391, 26737, 16451, 14717, 32779, 41609, 24071, 30661]

cp's OEIS Frontend

A294615 a(n) is the smallest prime p such that there is a multiplicative subgroup H of Z/pZ, of odd order and of index 2n, such that for any two cosets H1 and H2 of H, H1 + H2 contains all of (Z/pZ)\0, except that H+H contains all of (Z/pZ)\0 except -H. If no such prime exists, a(n) = 0.

Table of values

List of values