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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

%I #24 May 24 2021 14:23:34

%S 7,19,37,31,127,197,97,181,191,463,421,937,337,1321,881,2347,3889,

%T 2699,1861,1009,2861,1979,3793,1951,2861,3889,1933,1973,4831,1861,

%U 7393,8053,8297,5881,8209,3257,7753,17551,7841,6971,16843,16943,15401,12781,17573,41549,12097

%N 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 Jeremy F. Alm, <a href="/A298566/a298566.ipynb.txt">Python program</a>

%o (Python) see links.

%Y Less than A298566.

%K nonn

%O 2,1

%A _Jeremy F. Alm_, Jan 21 2018

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Last modified June 5 12:45 EDT 2023. Contains 363136 sequences. (Running on oeis4.)