cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A216769 Primes p such that x^48 = -2 has no solution mod p.

This page as a plain text file.
%I A216769 #15 Jul 20 2023 14:52:41
%S A216769 5,7,13,17,19,23,29,31,37,41,47,53,61,67,71,73,79,89,97,101,103,109,
%T A216769 113,127,137,139,149,151,157,163,167,173,181,191,193,197,199,211,223,
%U A216769 229,233,239,241,263,269,271,277,293,311,313,317,331,337,349,353,359
%N A216769 Primes p such that x^48 = -2 has no solution mod p.
%C A216769 Complement of A051093 relative to A000040.
%C A216769 Starts to differ from A216743 at index n=121 (presence/absence of 881). - _R. J. Mathar_, Jul 20 2023
%H A216769 Vincenzo Librandi, <a href="/A216769/b216769.txt">Table of n, a(n) for n = 1..1000</a>
%t A216769 ok[p_] := Reduce[Mod[x^48 + 2, p] == 0, x, Integers] == False;Select[Prime[Range[200]], ok]
%o A216769 (Magma) [p: p in PrimesUpTo(600) | not exists{x: x in ResidueClassRing(p) | x^48 eq -2}];
%Y A216769 Cf. A000040, A051093, A216743.
%K A216769 nonn,easy
%O A216769 1,1
%A A216769 _Vincenzo Librandi_, Sep 16 2012