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A040106
Primes p such that x^4 = 5 has no solution mod p.
1
3, 7, 13, 17, 23, 29, 37, 41, 43, 47, 53, 61, 67, 73, 83, 89, 97, 103, 107, 113, 127, 137, 157, 163, 167, 173, 193, 197, 223, 227, 229, 233, 241, 257, 263, 277, 281, 283, 293, 307, 313, 317, 337, 347, 349, 353, 367
OFFSET
1,1
COMMENTS
Complement of A040105 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^4 - 5, 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 5} ]; // Vincenzo Librandi, Sep 17 2012
CROSSREFS
Sequence in context: A063239 A063226 A288709 * A191028 A034914 A034913
KEYWORD
nonn,easy
AUTHOR
STATUS
approved