A298566 - cp's OEIS frontend

A298566 a(n) is the smallest prime q congruent to 1 mod n such that for all primes p >= q with p congruent to 1 mod n, the multiplicative subgroup H of (Z/pZ)* of index n contains a nontrivial mod-p arithmetic progression of length 3.

n	a(n)
2	11
3	31
4	41
5	41
6	139
7	211
8	113
9	199
10	211
11	617
12	433
13	1093
14	379
15	1381
16	929
17	2381
18	3907
19	2851
20	1901
21	1051
22	2927
23	2347
24	3889
25	2251
26	2887
27	3943
28	2017
29	2089
30	4861
31	2357
32	7457
33	8317
34	8467
35	6091
36	8317
37	3331
38	7829
39	17707
40	8081
41	7873
42	16927
43	17029
44	15797
45	13411
46	17987
47	41737
48	12241

[11, 31, 41, 41, 139, 211, 113, 199, 211, 617, 433, 1093, 379, 1381, 929, 2381, 3907, 2851, 1901, 1051, 2927, 2347, 3889, 2251, 2887, 3943, 2017, 2089, 4861, 2357, 7457, 8317, 8467, 6091, 8317, 3331, 7829, 17707, 8081, 7873, 16927, 17029, 15797, 13411, 17987, 41737, 12241]

cp's OEIS Frontend

A298566 a(n) is the smallest prime q congruent to 1 mod n such that for all primes p >= q with p congruent to 1 mod n, the multiplicative subgroup H of (Z/pZ)* of index n contains a nontrivial mod-p arithmetic progression of length 3.

Table of values

List of values