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.

A069899 Numbers k such that the integer quotient of largest and smallest prime factors of k is 1.

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%I A069899 #12 Feb 11 2025 01:19:55
%S A069899 2,3,4,5,6,7,8,9,11,12,13,15,16,17,18,19,23,24,25,27,29,31,32,35,36,
%T A069899 37,41,43,45,47,48,49,53,54,59,61,64,67,71,72,73,75,77,79,81,83,89,91,
%U A069899 96,97,101,103,107,108,109,113,121,125,127,128,131,135,137,139,143,144
%N A069899 Numbers k such that the integer quotient of largest and smallest prime factors of k is 1.
%C A069899 Numbers k such that A069897(k) = floor(P(k)/p(k)) = 1, where P(k) and p(k) are largest and least prime factor of k, respectively.
%C A069899 Numbers k > 1 such that A006530(k) < 2*A020639(k). - _Amiram Eldar_, Feb 10 2025
%H A069899 Amiram Eldar, <a href="/A069899/b069899.txt">Table of n, a(n) for n = 1..10000</a>
%F A069899 a(n) = A081306(n+1). - _Amiram Eldar_, Feb 10 2025
%e A069899 Beside primes and prime powers, composite numbers like 96 are terms because floor(3/2) = 1.
%t A069899 q[k_] := Module[{p = FactorInteger[k][[;;, 1]]}, p[[-1]] < 2*p[[1]]]; Select[Range[2, 150], q] (* _Amiram Eldar_, Feb 10 2025 *)
%o A069899 (PARI) isok(k) = if(k == 1, 0, my(p = factor(k)[,1]); p[#p] < 2*p[1]); \\ _Amiram Eldar_, Feb 10 2025
%Y A069899 Cf. A006530, A020639, A069897, A069900, A081306.
%K A069899 nonn
%O A069899 1,1
%A A069899 _Labos Elemer_, Apr 10 2002