login
A040058
Primes p such that x^3 = 10 has no solution mod p.
2
7, 13, 19, 31, 43, 61, 67, 97, 109, 151, 157, 163, 181, 193, 199, 211, 223, 229, 241, 277, 283, 307, 313, 337, 367, 373, 379, 397, 409, 433, 439, 487, 499, 523, 541, 571, 577, 601, 619, 631, 709, 727, 757, 769
OFFSET
1,1
COMMENTS
Complement of A040054 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^3 - 10, 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 10} ]; // Vincenzo Librandi, Sep 17 2012
CROSSREFS
Sequence in context: A272381 A242190 A053458 * A172057 A173176 A216550
KEYWORD
nonn,easy
AUTHOR
STATUS
approved