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A059241 Primes p such that x^11 = 2 has no solution mod p. 2

%I

%S 23,67,89,199,353,397,419,463,617,661,683,727,859,881,947,991,1123,

%T 1277,1409,1453,1607,1783,1871,2003,2069,2113,2179,2267,2311,2333,

%U 2377,2399,2531,2663,2707,2729,2861,2927,2971,3037,3169,3191,3257,3301,3323

%N Primes p such that x^11 = 2 has no solution mod p.

%C Complement of A049543 relative to A000040.

%H Vincenzo Librandi, <a href="/A059241/b059241.txt">Table of n, a(n) for n = 1..1000</a>

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

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

%Y Cf. A000040, A049543.

%K easy,nonn

%O 1,1

%A _Klaus Brockhaus_, Jan 21 2001

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