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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. 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

Greater than A298565.

LINKS

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

Jeremy F. Alm, Python program

Jeremy F. Alm, Arithmetic Progressions of Length Three in Multiplicative Subgroups of F_p, arXiv:1902.10046 [math.NT], 2019.

CROSSREFS

Cf. A298565.

Sequence in context: A022423 A173972 A167488 * A090756 A038351 A068871

Adjacent sequences:  A298563 A298564 A298565 * A298567 A298568 A298569

KEYWORD

nonn

AUTHOR

Jeremy F. Alm, Jan 21 2018

STATUS

approved

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Last modified December 13 08:08 EST 2019. Contains 329968 sequences. (Running on oeis4.)