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A059243 Primes p such that x^43 = 2 has no solution mod p. 2
173, 431, 947, 1033, 1291, 1549, 1721, 1979, 2237, 2753, 3011, 3527, 3613, 4129, 4817, 4903, 5333, 5591, 5849, 6451, 6709, 6967, 7741, 8171, 8429, 9203, 9461, 9547, 9719, 10321, 10837, 11353, 11783, 12041, 13159, 13331, 13417, 13933, 14621 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A058853 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_]:= Reduce[Mod[x^43 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[4000]], ok] (* Vincenzo Librandi, Sep 20 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(15000) | not exists{x : x in ResidueClassRing(p) | x^43 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A058853.

Sequence in context: A275968 A142782 A142250 * A142134 A142849 A271978

Adjacent sequences:  A059240 A059241 A059242 * A059244 A059245 A059246

KEYWORD

easy,nonn

AUTHOR

Klaus Brockhaus, Jan 21 2001

STATUS

approved

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Last modified July 17 20:45 EDT 2019. Contains 325109 sequences. (Running on oeis4.)