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 A040064 Primes p such that x^3 = 12 has no solution mod p. 2
 7, 31, 37, 43, 61, 67, 73, 103, 109, 127, 139, 151, 157, 163, 181, 193, 223, 229, 241, 271, 277, 283, 313, 337, 349, 367, 379, 397, 409, 421, 433, 457, 523, 541, 547, 571, 577, 601, 607, 613, 619, 631, 661, 691 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Complement of A040062 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 - 12, 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 12} ]; // Vincenzo Librandi, Sep 17 2012 CROSSREFS Sequence in context: A167768 A103630 A205711 * A241101 A238664 A272201 Adjacent sequences:  A040061 A040062 A040063 * A040065 A040066 A040067 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified December 1 20:39 EST 2021. Contains 349435 sequences. (Running on oeis4.)