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.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A040069 Primes p such that x^3 = 15 has a solution mod p. 3

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

%S 2,3,5,7,11,17,23,29,31,41,47,53,59,67,71,79,83,89,101,107,113,131,

%T 137,149,167,173,179,191,197,223,227,229,233,239,251,257,263,269,277,

%U 281,283,293,311,317,331,347,353

%N Primes p such that x^3 = 15 has a solution mod p.

%C Complement of A040070 relative to A000040. - _Vincenzo Librandi_, Sep 13 2012

%H Vincenzo Librandi, <a href="/A040069/b040069.txt">Table of n, a(n) for n = 1..1000</a>

%t ok [p_]:=Reduce[Mod[x^3 - 15, p] == 0, x, Integers] =!= False; Select[Prime[Range[180]], ok] (* _Vincenzo Librandi_, Sep 11 2012 *)

%o (Magma) [p: p in PrimesUpTo(450) | exists(t){x : x in ResidueClassRing(p) | x^3 eq 15}]; // _Vincenzo Librandi_, Sep 11 2012

%o (PARI) select(n->ispower(Mod(15, n),3), primes(500)) \\ _Charles R Greathouse IV_, Sep 11 2012

%Y Cf. A000040, A040070.

%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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 25 03:39 EDT 2024. Contains 372782 sequences. (Running on oeis4.)