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.

A088382 Numbers not exceeding the 4th power of their smallest prime factor.

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%I A088382 #13 Feb 12 2025 11:56:01
%S A088382 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,23,25,27,29,31,33,35,
%T A088382 37,39,41,43,45,47,49,51,53,55,57,59,61,63,65,67,69,71,73,75,77,79,81,
%U A088382 83,85,89,91,95,97,101,103,107,109,113,115,119,121,125,127,131,133
%N A088382 Numbers not exceeding the 4th power of their smallest prime factor.
%C A088382 a(n) <= A020639(a(n))^4 = A088379(a(n)); complement of A088383;
%C A088382 a(n) < A088383(k) for n <= 67, a(n) > A088383(k) for n > 67.
%H A088382 Reinhard Zumkeller, <a href="/A088382/b088382.txt">Table of n, a(n) for n = 1..10000</a>
%t A088382 Select[Range[200],#<=FactorInteger[#][[1,1]]^4&] (* _Harvey P. Dale_, Jan 25 2015 *)
%o A088382 (Haskell)
%o A088382 a088382 n = a088382_list !! (n-1)
%o A088382 a088382_list = [x | x <- [1..], x <= a020639 x ^ 4]
%o A088382 -- _Reinhard Zumkeller_, Feb 06 2015
%Y A088382 Cf. A088380, A000430, A020639, A088379, A088383.
%Y A088382 Positions of numbers less than 5 in A307908.
%K A088382 nonn
%O A088382 1,2
%A A088382 _Reinhard Zumkeller_, Sep 28 2003