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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
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
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified April 18 10:28 EDT 2024. Contains 371779 sequences. (Running on oeis4.)