A298565 - cp's OEIS frontend

A298565 a(n) is the largest prime p congruent to 1 mod n such that the multiplicative subgroup H of (Z/pZ)* of index n contains no nontrivial mod-p arithmetic progression of length 3.

n	a(n)
2	7
3	19
4	37
5	31
6	127
7	197
8	97
9	181
10	191
11	463
12	421
13	937
14	337
15	1321
16	881
17	2347
18	3889
19	2699
20	1861
21	1009
22	2861
23	1979
24	3793
25	1951
26	2861
27	3889
28	1933
29	1973
30	4831
31	1861
32	7393
33	8053
34	8297
35	5881
36	8209
37	3257
38	7753
39	17551
40	7841
41	6971
42	16843
43	16943
44	15401
45	12781
46	17573
47	41549
48	12097

[7, 19, 37, 31, 127, 197, 97, 181, 191, 463, 421, 937, 337, 1321, 881, 2347, 3889, 2699, 1861, 1009, 2861, 1979, 3793, 1951, 2861, 3889, 1933, 1973, 4831, 1861, 7393, 8053, 8297, 5881, 8209, 3257, 7753, 17551, 7841, 6971, 16843, 16943, 15401, 12781, 17573, 41549, 12097]

cp's OEIS Frontend

A298565 a(n) is the largest prime p congruent to 1 mod n such that the multiplicative subgroup H of (Z/pZ)* of index n contains no nontrivial mod-p arithmetic progression of length 3.

Table of values

List of values