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%I #15 Oct 13 2022 13:57:25
%S 41,43,47,53,61,71,83,97,113,131,151,167,173,179,197,199,223,227,251,
%T 263,281,307,313,347,359,367,373,379,383,397,409,419,421,439,457,461,
%U 487,499,503,523,547,563,577,593,607,641,647,653,661,673,677,691,701,709,733,739,743,773,787,797
%N Rational primes that decompose in the field Q(sqrt(-163)).
%C From _Jianing Song_, Oct 13 2022: (Start)
%C Primes p such that kronecker(-163,p) = 1 (or equivalently, kronecker(p,163) = 1).
%C Primes p such that p^81 == 1 (mod 163). (End)
%H Jianing Song, <a href="/A296921/b296921.txt">Table of n, a(n) for n = 1..10000</a>
%H <a href="/index/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(-163,200);
%o (PARI) isA296921(p) = isprime(p) && kronecker(p,163) == 1
%Y A257362, the sequence of primes that do not remain inert in the field Q(sqrt(-163)), is essentially the same.
%Y Cf. A296915 (rational primes that remain inert in the field Q(sqrt(-163))).
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_, Dec 25 2017
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