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.

A085231 Numbers k in whose canonical factorization the power of the smallest prime factor is greater than the power of the greatest prime factor.

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%I A085231 #14 Jun 02 2025 09:52:26
%S A085231 12,24,40,45,48,56,63,80,96,112,120,135,144,160,168,175,176,189,192,
%T A085231 208,224,240,275,280,288,297,315,320,325,336,351,352,360,384,405,416,
%U A085231 425,448,459,475,480,504,513,528,539,544,560,567,575,576,608,621,624
%N A085231 Numbers k in whose canonical factorization the power of the smallest prime factor is greater than the power of the greatest prime factor.
%C A085231 p*a(n) is a term for all primes p with A020639(a(n)) < p < A006530(a(n)).
%H A085231 Harvey P. Dale, <a href="/A085231/b085231.txt">Table of n, a(n) for n = 1..1000</a>
%F A085231 A028233(a(n)) > A053585(a(n)).
%e A085231 The canonical factorization of 240 is 2^4 * 3 * 5. 2^4 = 16 > 5, therefore 240 is a term.
%t A085231 pfgQ[n_]:=Module[{fe=#[[1]]^#[[2]]&/@FactorInteger[n]},fe[[1]]>fe[[-1]]]; Select[Range[700],pfgQ] (* _Harvey P. Dale_, Dec 11 2017 *)
%Y A085231 Cf. A006530, A020639, A028233, A053585, A085232, A363122.
%Y A085231 A085233 is a subsequence.
%Y A085231 Subsequence of A102749.
%K A085231 nonn,easy
%O A085231 1,1
%A A085231 _Reinhard Zumkeller_, Jun 22 2003
%E A085231 Edited by _Peter Munn_, Jun 01 2025