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.

A040102 Primes p such that x^4 = 3 has no solution mod p.

This page as a plain text file.
%I A040102 #11 Jul 08 2025 22:47:31
%S A040102 5,7,17,19,29,31,37,41,43,53,61,67,73,79,89,97,101,103,113,127,137,
%T A040102 139,149,151,157,163,173,197,199,211,223,233,241,257,269,271,281,283,
%U A040102 293,307,317,331,337,349,353,367
%N A040102 Primes p such that x^4 = 3 has no solution mod p.
%C A040102 Complement of A040101 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012
%H A040102 Vincenzo Librandi, <a href="/A040102/b040102.txt">Table of n, a(n) for n = 1..1000</a>
%t A040102 ok[p_]:= Reduce[Mod[x^4 - 3, p] == 0, x, Integers] == False;Select[Prime[Range[100]], ok] (* _Vincenzo Librandi_, Sep 17 2012  *)
%o A040102 (Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 3} ]; // _Vincenzo Librandi_, Sep 17 2012
%K A040102 nonn,easy
%O A040102 1,1
%A A040102 _N. J. A. Sloane_