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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. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified January 16 15:53 EST 2021. Contains 340206 sequences. (Running on oeis4.)