cp's OEIS Frontend

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.

A360542 Primes prime(k) such that ( 9*(prime(k-1) - prime(k-2)) ) | (prime(k)^3 + 1).

This page as a plain text file.
%I A360542 #17 Mar 05 2023 12:10:23
%S A360542 5,11,17,23,47,71,107,113,131,149,179,191,197,233,239,251,269,293,311,
%T A360542 317,353,359,431,467,479,503,521,557,647,683,719,797,809,821,827,839,
%U A360542 857,863,881,887,947,953,971,1019,1031,1061,1097,1103,1151,1163,1223,1259
%N A360542 Primes prime(k) such that ( 9*(prime(k-1) - prime(k-2)) ) | (prime(k)^3 + 1).
%e A360542 11 is a term since (11^3 + 1)/(9*(7-5)) = 1332/18 = 74.
%e A360542 131 is a term since (131^3 + 1)/(9*(127-113)) = 2248092/126 = 17842.
%t A360542 Select[Partition[Prime[Range[210]], 3, 1], Divisible[(#[[3]]^3 + 1)/9, #[[2]] - #[[1]]] &][[;; , 3]] (* _Amiram Eldar_, Feb 11 2023 *)
%Y A360542 Cf. A000040, A030078.
%K A360542 nonn
%O A360542 1,1
%A A360542 _Najeem Ziauddin_, Feb 11 2023