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 A071146 #15 Jan 10 2025 10:07:50 %S A071146 1231230,2062830,2181270,3327870,3594990,4224990,4320030,4671030, %T A071146 5162430,5411406,5414430,6767670,7052430,7432230,7870830,7947030, %U A071146 8150142,8273265,8287230,8569470,8804334,9378390,10630830,10705695,10757838,10776990,10900230 %N A071146 Numbers n such that sum of distinct primes dividing n is divisible by the largest prime dividing n. Also n has exactly 7 distinct prime factors and n is squarefree. %H A071146 Donovan Johnson, <a href="/A071146/b071146.txt">Table of n, a(n) for n = 1..1000</a> %F A071146 A008472(n)/A006530(n) is an integer; A001221(n) = 7, n is squarefree. %e A071146 n = pqrstu, p<q<r<s<t<u, primes, p+q+r+s+t+u = ku; n = 9378390 = 2*3*5*7*17*37*71; sum = 2+3+5+7+17+37+71 = 142 = 2*71 %t A071146 ffi[x_] := Flatten[FactorInteger[x]] lf[x_] := Length[FactorInteger[x]] ba[x_] := Table[Part[ffi[x], 2*w-1], {w, 1, lf[x]}] sb[x_] := Apply[Plus, ba[x]] ma[x_] := Part[Reverse[Flatten[FactorInteger[x]]], 2] amo[x_] := Abs[MoebiusMu[x]] Do[s=sb[n]/ma[n]; If[IntegerQ[s]&&Equal[lf[n], 7]&& !Equal[amo[n], 0], Print[{n, ba[n]}]], {n, 2, 1000000}] %Y A071146 Cf. A008472, A006530, A000961, A025475, A037074, A071139-A071147. %K A071146 nonn %O A071146 1,1 %A A071146 _Labos Elemer_, May 13 2002