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A040045 Primes p such that x^3 = 5 has no solution mod p. 2
7, 19, 31, 37, 43, 61, 73, 79, 97, 103, 109, 139, 151, 157, 193, 223, 229, 271, 277, 283, 307, 331, 349, 373, 397, 421, 433, 439, 463, 499, 523, 541, 547, 571, 577, 601, 607, 613, 619, 661, 673, 709, 727, 751 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A040044 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 - 5, 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 5} ]; Vincenzo Librandi, Sep 17 2012

CROSSREFS

Sequence in context: A109355 A272404 A274971 * A242476 A079021 A216133

Adjacent sequences:  A040042 A040043 A040044 * A040046 A040047 A040048

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified October 21 18:54 EDT 2019. Contains 328308 sequences. (Running on oeis4.)