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 A040144 Primes p such that x^4 = 18 has no solution mod p. 1
 5, 11, 13, 19, 29, 37, 43, 53, 59, 61, 67, 83, 89, 97, 101, 107, 109, 113, 131, 139, 149, 157, 163, 173, 179, 181, 193, 197, 211, 227, 229, 233, 241, 251, 257, 269, 277, 281, 283, 293, 307, 313, 317, 331, 347, 349 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Complement of A040141 relative to A000040. - Vincenzo Librandi, Sep 18 2012 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 MATHEMATICA ok[p_]:= Reduce[Mod[x^4 - 18, 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 18} ]; // Vincenzo Librandi, Sep 18 2012 CROSSREFS Sequence in context: A098085 A104216 A269819 * A019395 A045448 A157750 Adjacent sequences:  A040141 A040142 A040143 * A040145 A040146 A040147 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified January 22 23:09 EST 2021. Contains 340383 sequences. (Running on oeis4.)