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A040123
Primes p such that x^4 = 11 has no solution mod p.
1
3, 13, 17, 23, 29, 31, 37, 41, 47, 53, 59, 61, 67, 71, 73, 97, 101, 103, 109, 113, 137, 149, 163, 173, 179, 181, 191, 193, 197, 199, 223, 229, 233, 241, 251, 269, 277, 281, 293, 311, 331, 337, 349, 367, 373, 379
OFFSET
1,1
COMMENTS
Complement of A040122 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^4 - 11, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 17 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 11} ]; // Vincenzo Librandi, Sep 17 2012
CROSSREFS
Sequence in context: A038956 A309291 A343123 * A296936 A038883 A141188
KEYWORD
nonn,easy
AUTHOR
STATUS
approved