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A296925 Inert rational primes in the field Q(sqrt(-10)). 5

%I #17 Nov 17 2023 07:34:08

%S 3,17,29,31,43,61,67,71,73,79,83,97,101,107,109,113,137,149,151,163,

%T 181,191,193,199,227,229,233,239,257,269,271,283,307,311,313,337,347,

%U 349,353,359,389,421,431,433,439,443,457,461,467,479,509,523,541,547,563,577,587,593,599,617,631,643,661,673,683,701,709

%N Inert rational primes in the field Q(sqrt(-10)).

%C Primes that are congruent to 3, 17, 21, 27, 29, 31, 33, or 39 mod 40. - _Amiram Eldar_, Nov 17 2023

%H Amiram Eldar, <a href="/A296925/b296925.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(-10, 200); This produces A155488, A296925, A293859. - _N. J. A. Sloane_, Dec 26 2017

%t Select[Prime[Range[127]], KroneckerSymbol[-10, #] == -1 &] (* _Amiram Eldar_, Nov 17 2023 *)

%Y Cf. A155488, A293859, A296920.

%K nonn,easy

%O 1,1

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

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Last modified August 29 17:19 EDT 2024. Contains 375518 sequences. (Running on oeis4.)