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.
%I A080785 #10 Feb 16 2025 08:32:48 %S A080785 1,2,3,4,5,8,7,8,9,16,11,16,13,16,16,16,17,32,19,32,24,32,23,32,25,32, %T A080785 27,32,29,32,31,32,36,64,36,64,37,64,48,64,41,64,43,64,48,64,47,64,49, %U A080785 64,54,64,53,64,60,64,64,64,59,64,61,64,64,64,72,128,67,128,72,128,71 %N A080785 Least p-smooth number not less n, where p is the smallest prime factor of n. %C A080785 a(n)<=2^k for n<=2^k. %C A080785 a(n)=n for n in A000961. - _Ivan Neretin_, Apr 30 2016 %H A080785 Ivan Neretin, <a href="/A080785/b080785.txt">Table of n, a(n) for n = 1..10000</a> %H A080785 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SmoothNumber.html">Smooth Number</a>. %t A080785 a[n_] := Module[{p, k}, p = FactorInteger[n][[1, 1]]; For[k = n, True, k++, If[FactorInteger[k][[-1, 1]] <= p, Return[k]]]]; %t A080785 Table[a[n], {n, 1, 100}] (* _Jean-François Alcover_, Oct 15 2021 *) %Y A080785 Cf. A020639, A006530. %Y A080785 Cf. A000079, A003586, A051037, A002473, A051038, A080197, A080681, A080682, A080683. %K A080785 nonn %O A080785 1,2 %A A080785 _Reinhard Zumkeller_, Mar 12 2003