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A051072 Primes p such that x^6 = -2 has a solution mod p. 2
2, 3, 11, 17, 41, 43, 59, 83, 89, 107, 113, 131, 137, 179, 227, 233, 251, 257, 281, 283, 307, 347, 353, 401, 419, 433, 443, 449, 457, 467, 491, 499, 521, 563, 569, 587, 593, 601, 617, 641, 643, 659, 683, 691, 739, 761, 809, 811, 827, 857, 881, 929, 947, 953, 971, 977, 1019 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A216734 relative to A000040. - Vincenzo Librandi, Sep 16 2012

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

MATHEMATICA

ok[p_]:= Reduce[Mod[x^6 + 2, p] == 0, x, Integers] =!= False; Select[Prime[Range[500]], ok] (* Vincenzo Librandi, Sep 15 2012 *)

PROG

(PARI)

forprime(p=2, 2000, if([]~!=polrootsmod(x^6+2, p), print1(p, ", "))); print();

/* Joerg Arndt, Jun 24 2012 */

(Magma) [p: p in PrimesUpTo(1200) | exists(t){x : x in ResidueClassRing(p) | x^6 eq - 2}]; // Vincenzo Librandi, Sep 15 2012

CROSSREFS

Sequence in context: A025099 A024597 A147655 * A051096 A051078 A051090

Adjacent sequences:  A051069 A051070 A051071 * A051073 A051074 A051075

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Joerg Arndt, Jul 27 2011

STATUS

approved

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Last modified September 30 03:02 EDT 2022. Contains 357095 sequences. (Running on oeis4.)