This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A347530 #17 Oct 10 2021 15:19:51 %S A347530 17,29,89,149,269,929,1109,1409,3449,5309,6389,8069,12329,14969,33029, %T A347530 34589,42929,47129,48989,60209,67349,78809,98129,109049,118589,136769, %U A347530 158489,175829,213209,264269,317609,338669,363809,367229,389849,438989,454109,467549 %N A347530 Primes of the form (p^2 + 9)/2 where p is prime. %C A347530 Each p is an odd number, so p^2 == 1 (mod 8), thus (p^2 + 9)/2 == 1 (mod 4). %e A347530 17 is in the sequence as 17 = (p^2 + 9)/2 where p = 5 is prime. %e A347530 29 is in the sequence as 29 = (p^2 + 9)/2 where p = 7 is prime. %t A347530 Select[(Select[Range[3, 1000], PrimeQ]^2 + 9)/2, PrimeQ] (* _Amiram Eldar_, Sep 05 2021 *) %Y A347530 Cf. A000040, A045637, A062324. %Y A347530 Subsequence of A076727 and of A103739. %K A347530 nonn %O A347530 1,1 %A A347530 _Burak Muslu_, Sep 05 2021