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A040102
Primes p such that x^4 = 3 has no solution mod p.
1
5, 7, 17, 19, 29, 31, 37, 41, 43, 53, 61, 67, 73, 79, 89, 97, 101, 103, 113, 127, 137, 139, 149, 151, 157, 163, 173, 197, 199, 211, 223, 233, 241, 257, 269, 271, 281, 283, 293, 307, 317, 331, 337, 349, 353, 367
OFFSET
1,1
COMMENTS
Complement of A040101 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^4 - 3, 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 3} ]; // Vincenzo Librandi, Sep 17 2012
CROSSREFS
Sequence in context: A216731 A363752 A045318 * A100021 A099389 A099382
KEYWORD
nonn,easy
AUTHOR
STATUS
approved