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

2,1

Links

Table of n, a(n) for n=2..48.

Jeremy F. Alm, Python program

Prog

(Python) see links.

Crossrefs

Less than A298566.

Sequence in context: A165333 A154878 A124270 * A068678 A069833 A215421

Adjacent sequences: A298562 A298563 A298564 * A298566 A298567 A298568

Keyword

nonn

Author

Jeremy F. Alm, Jan 21 2018

Status

approved