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.

%I A298565 #26 Jan 01 2025 22:25:03
%S A298565 7,19,37,31,127,197,97,181,191,463,421,937,337,1321,881,2347,3889,
%T A298565 2699,1861,1009,2861,1979,3793,1951,2861,3889,1933,1973,4831,1861,
%U A298565 7393,8053,8297,5881,8209,3257,7753,17551,7841,6971,16843,16943,15401,12781,17573,41549,12097
%N 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.
%H A298565 Jeremy F. Alm, <a href="/A298566/a298566.ipynb.txt">Python program</a>
%o A298565 (Python) # See Alm link.
%Y A298565 Less than A298566.
%K A298565 nonn
%O A298565 2,1
%A A298565 _Jeremy F. Alm_, Jan 21 2018

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.