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A040153
Primes p such that x^4 = 22 has no solution mod p.
1
5, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 71, 73, 83, 101, 103, 107, 113, 131, 139, 149, 157, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 241, 269, 277, 281, 283, 307, 311, 313, 317, 337, 347, 349, 367, 373
OFFSET
1,1
COMMENTS
Complement of A040152 relative to A000040. - Vincenzo Librandi, Sep 18 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^4 - 22, p] == 0, x, Integers] == False; Select[Prime[Range[100]], ok] (* Vincenzo Librandi, Sep 18 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(500) | not exists{x : x in ResidueClassRing(p) | x^4 eq 22} ]; // Vincenzo Librandi, Sep 18 2012
CROSSREFS
Sequence in context: A351974 A364935 A249589 * A038896 A117382 A191076
KEYWORD
nonn,easy
AUTHOR
STATUS
approved