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Inert rational primes in the field Q(sqrt(11)).
5

%I #14 Dec 24 2023 01:07:54

%S 3,13,17,23,29,31,41,47,59,61,67,71,73,101,103,109,149,163,173,179,

%T 191,193,197,199,223,233,241,251,277,281,293,311,331,337,349,367,373,

%U 379,383,409,419,443,457,461,463,467,487,499,541,557,569,587,593,599,601

%N Inert rational primes in the field Q(sqrt(11)).

%H Amiram Eldar, <a href="/A296936/b296936.txt">Table of n, a(n) for n = 1..10000</a>

%H <a href="https://oeis.org/wiki/Index_to_OEIS:_Section_Pri#primes_decomp_of">Index to sequences related to decomposition of primes in quadratic fields</a>.

%p Load the Maple program HH given in A296920. Then run HH(11, 200); This produces A296935, A296936, A038881, A038882.

%t Select[Prime[Range[2, 120]], KroneckerSymbol[11, #] == -1 &] (* _Amiram Eldar_, Dec 24 2023 *)

%Y Cf. A296935, A038881, A038882.

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_, Dec 26 2017