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.

A051090 Primes p such that x^42 = -2 has a solution mod p.

This page as a plain text file.
%I A051090 #16 Sep 08 2022 08:44:59
%S A051090 2,3,11,17,41,59,83,89,107,131,137,179,227,233,251,257,283,307,347,
%T A051090 353,401,419,433,443,457,467,499,521,563,569,587,593,601,641,643,683,
%U A051090 691,739,761,809,811,857,881,929,947,953,971,977,1019,1049,1091,1097,1163
%N A051090 Primes p such that x^42 = -2 has a solution mod p.
%C A051090 Complement of A216752 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012
%H A051090 Vincenzo Librandi, <a href="/A051090/b051090.txt">Table of n, a(n) for n = 1..1000</a>
%t A051090 ok[p_]:=Reduce[Mod[x^42+2,p]==0,x,Integers]=!=False;Select[Prime[Range[400]],ok] (* _Vincenzo Librandi_, Sep 16 2012 *)
%o A051090 (PARI) /* see A051071 */
%o A051090 (Magma) [p: p in PrimesUpTo(1250) | exists(t){x : x in ResidueClassRing(p) | x^42 eq - 2}]; // _Vincenzo Librandi_, Sep 16 2012
%K A051090 nonn,easy
%O A051090 1,1
%A A051090 _N. J. A. Sloane_
%E A051090 More terms from _Joerg Arndt_, Jul 27 2011