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.

A364610 Centered pentagonal numbers which are products of three distinct primes.

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%I A364610 #23 Mar 10 2025 12:26:22
%S A364610 1266,1626,2806,3706,4731,6126,7426,7701,9766,10726,13506,15801,18706,
%T A364610 19581,25251,26266,26781,31641,35106,36906,40006,50766,52926,56626,
%U A364610 57381,62806,69306,71826,74391,76126,85101,90726,93606,95551,96531,99501,106606,108681,109726,117181,121551,123766
%N A364610 Centered pentagonal numbers which are products of three distinct primes.
%e A364610 A005891(22) = 1266 = (5*22^2 + 5*22 + 2)/2 = 2 * 3 * 211.
%e A364610 A005891(25) = 1626 = (5*25^2 + 5*25 + 2)/2 = 2 * 3 * 271.
%e A364610 A005891(33) = 2806 = (5*33^2 + 5*33 + 2)/2 = 2 * 23 * 61.
%t A364610 Select[Table[5*n*(n + 1)/2 + 1, {n, 0, 225}], FactorInteger[#][[;; , 2]] == {1, 1, 1} &] (* _Amiram Eldar_, Sep 07 2023 *)
%Y A364610 Intersection of A005891 and A007304.
%K A364610 nonn
%O A364610 1,1
%A A364610 _Massimo Kofler_, Sep 07 2023