A040085 -id:A040085

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A040086

Primes p such that x^3 = 20 has no solution mod p.

+10
2

13, 31, 37, 43, 67, 73, 79, 103, 109, 139, 157, 163, 181, 199, 211, 223, 229, 241, 271, 277, 283, 307, 313, 331, 337, 349, 367, 379, 397, 409, 421, 433, 439, 463, 487, 499, 547, 601, 607, 613, 631, 661, 673, 727

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OFFSET

1,1

COMMENTS

Complement of A040085 relative to A000040. - Vincenzo Librandi, Sep 17 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

ok[p_]:= Reduce[Mod[x^3 - 20, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 17 2012 *)

PROG

(Magma) [p: p in PrimesUpTo(1000) | not exists{x : x in ResidueClassRing(p) | x^3 eq 20} ]; // Vincenzo Librandi, Sep 17 2012

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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