login
A051090
Primes p such that x^42 = -2 has a solution mod p.
2
2, 3, 11, 17, 41, 59, 83, 89, 107, 131, 137, 179, 227, 233, 251, 257, 283, 307, 347, 353, 401, 419, 433, 443, 457, 467, 499, 521, 563, 569, 587, 593, 601, 641, 643, 683, 691, 739, 761, 809, 811, 857, 881, 929, 947, 953, 971, 977, 1019, 1049, 1091, 1097, 1163
OFFSET
1,1
COMMENTS
Complement of A216752 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:=Reduce[Mod[x^42+2, p]==0, x, Integers]=!=False; Select[Prime[Range[400]], ok] (* Vincenzo Librandi, Sep 16 2012 *)
PROG
(PARI) /* see A051071 */
(Magma) [p: p in PrimesUpTo(1250) | exists(t){x : x in ResidueClassRing(p) | x^42 eq - 2}]; // Vincenzo Librandi, Sep 16 2012
CROSSREFS
Sequence in context: A051072 A051096 A051078 * A263933 A061400 A090474
KEYWORD
nonn,easy
EXTENSIONS
More terms from Joerg Arndt, Jul 27 2011
STATUS
approved