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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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040054 relative to A000040. - Vincenzo Librandi, Sep 17 2012

LINKS

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

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

Adjacent sequences:  A040055 A040056 A040057 * A040059 A040060 A040061

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified May 17 16:12 EDT 2022. Contains 353747 sequences. (Running on oeis4.)