login
A051096
Primes p such that x^54 = -2 has a solution mod p.
3
2, 3, 11, 17, 41, 43, 59, 83, 89, 107, 113, 131, 137, 179, 227, 233, 251, 257, 281, 283, 347, 353, 401, 419, 443, 449, 457, 467, 491, 499, 521, 563, 569, 587, 593, 601, 617, 641, 643, 659, 683, 691, 761, 809, 827, 857, 881, 929, 947, 953, 971, 977, 1019, 1049, 1051, 1091, 1097, 1163
OFFSET
1,1
COMMENTS
Complement of A216772 relative to A000040. - Vincenzo Librandi, Sep 17 2012
LINKS
MATHEMATICA
ok[p_]:= Reduce[Mod[x^54 + 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[300]], ok] (* Vincenzo Librandi, Sep 16 2012 *)
PROG
(PARI)
forprime(p=2, 2000, if([]~!=polrootsmod(x^54+2, p), print1(p, ", "))); print();
/* Joerg Arndt, Jun 24 2012 */
(Magma) [p: p in PrimesUpTo(1200) | exists(t){x : x in ResidueClassRing(p) | x^54 eq - 2}]; // Vincenzo Librandi, Sep 16 2012
CROSSREFS
Sequence in context: A024597 A147655 A051072 * A051078 A051090 A263933
KEYWORD
nonn,easy
EXTENSIONS
More terms from Joerg Arndt, Jul 27 2011
STATUS
approved