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.

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

Offset: 2

Author

Jeremy F. Alm, Jan 21 2018

Keywords

• nonn

Links

• Jeremy F. Alm, Python program

Crossrefs

Less than A298566.

Programs

Python

# See Alm link.