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A059241 Primes p such that x^11 = 2 has no solution mod p. 2
23, 67, 89, 199, 353, 397, 419, 463, 617, 661, 683, 727, 859, 881, 947, 991, 1123, 1277, 1409, 1453, 1607, 1783, 1871, 2003, 2069, 2113, 2179, 2267, 2311, 2333, 2377, 2399, 2531, 2663, 2707, 2729, 2861, 2927, 2971, 3037, 3169, 3191, 3257, 3301, 3323 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Complement of A049543 relative to A000040.

LINKS

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

MATHEMATICA

ok[p_]:= Reduce[Mod[x^11 - 2, p] == 0, x, Integers] == False; Select[Prime[Range[1000]], ok] (* Vincenzo Librandi, Sep 20 2012  *)

PROG

(MAGMA) [p: p in PrimesUpTo(3500) | not exists{x : x in ResidueClassRing(p) | x^11 eq 2} ]; // Vincenzo Librandi, Sep 20 2012

CROSSREFS

Cf. A000040, A049543.

Sequence in context: A104945 A141849 A125873 * A241212 A052087 A030458

Adjacent sequences:  A059238 A059239 A059240 * A059242 A059243 A059244

KEYWORD

easy,nonn

AUTHOR

Klaus Brockhaus, Jan 21 2001

STATUS

approved

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Last modified June 18 14:52 EDT 2019. Contains 324213 sequences. (Running on oeis4.)