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 A359297 #25 Mar 05 2023 12:09:56 %S A359297 5,7,17,23,31,41,47,71,79,97,113,127,151,167,191,223,233,239,241,263, %T A359297 271,281,337,353,367,383,431,439,449,457,463,479,521,569,577,599,601, %U A359297 607,617,631,641,647,673,743,751,761,769,809,839,863,881,887,911,929,953 %N A359297 Primes prime(k) such that ( 8*(prime(k-1) - prime(k-2)) ) | (prime(k)^2 - 1). %e A359297 5 is a term since (5^2 - 1) / (8*(3-2)) = 24/8 = 3. %e A359297 97 is a term since (97^2 - 1) / 8*(89-83)= 9408/48 = 196. %t A359297 Select[Partition[Prime[Range[200]], 3, 1], Divisible[(#[[3]]^2 - 1)/8, #[[2]] - #[[1]]] &][[;; , 3]] (* _Amiram Eldar_, Feb 11 2023 *) %Y A359297 Cf. A000040, A001248. %K A359297 nonn %O A359297 1,1 %A A359297 _Najeem Ziauddin_, Feb 11 2023