The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A040064 Primes p such that x^3 = 12 has no solution mod p. 2

%I #12 Sep 08 2022 08:44:53

%S 7,31,37,43,61,67,73,103,109,127,139,151,157,163,181,193,223,229,241,

%T 271,277,283,313,337,349,367,379,397,409,421,433,457,523,541,547,571,

%U 577,601,607,613,619,631,661,691

%N Primes p such that x^3 = 12 has no solution mod p.

%C Complement of A040062 relative to A000040. - _Vincenzo Librandi_, Sep 17 2012

%H Vincenzo Librandi, <a href="/A040064/b040064.txt">Table of n, a(n) for n = 1..1000</a>

%t ok[p_]:= Reduce[Mod[x^3 - 12, p] == 0, x, Integers] == False;Select[Prime[Range[200]], ok] (* _Vincenzo Librandi_, Sep 17 2012 *)

%o (Magma) [p: p in PrimesUpTo(1000) | not exists{x : x in ResidueClassRing(p) | x^3 eq 12} ]; // _Vincenzo Librandi_, Sep 17 2012

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_.

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 26 07:52 EDT 2024. Contains 372807 sequences. (Running on oeis4.)