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A040092
Primes p such that x^3 = 22 has no solution mod p.
2
13, 19, 31, 37, 61, 109, 127, 139, 151, 157, 193, 199, 211, 223, 241, 271, 277, 283, 307, 313, 337, 349, 367, 379, 397, 409, 421, 433, 439, 463, 487, 499, 523, 541, 547, 577, 601, 607, 619, 631, 643, 691, 709
OFFSET
1,1
COMMENTS
Complement of A040089 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^3 - 22, p] == 0, x, Integers] == False; Select[Prime[Range[200]], ok] (* Vincenzo Librandi, Sep 17 2012 *)
PROG
(Magma) [p: p in PrimesUpTo(1000) | not exists{x : x in ResidueClassRing(p) | x^3 eq 22} ]; // Vincenzo Librandi, Sep 17 2012
CROSSREFS
Sequence in context: A376830 A115093 A158195 * A079130 A243587 A085413
KEYWORD
nonn,easy
AUTHOR
STATUS
approved