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 A323528 #14 Jun 06 2020 01:16:59 %S A323528 1,2,7,9,10,12,16,23,38,51,53,65,68,77,78,94,97,98,99,104,105,110,125, %T A323528 126,129,132,135,140,150,151,162,168,172,176,178,180,200,205,216,224, %U A323528 227,240,246,249,259,288,298,311,320,328,332,333,341,361,370,377,384 %N A323528 Numbers whose sum of prime indices is a perfect square. %C A323528 A prime index of n is a number m such that prime(m) divides n. The multiset of prime indices of n is row n of A112798. The sum of prime indices of n is A056239(n). %C A323528 Also Heinz numbers of integer partitions of perfect squares, where the Heinz number of an integer partition (y_1, ..., y_k) is prime(y_1) * ... * prime(y_k). %H A323528 Robert Israel, <a href="/A323528/b323528.txt">Table of n, a(n) for n = 1..10000</a> %e A323528 10 is in the sequence because 10 = 2*5 = prime(1)*prime(3) and 1 + 3 = 4 is a square. %p A323528 select(k-> issqr(add(numtheory[pi](i[1])*i[2], i=ifactors(k)[2])), [$1..400])[]; # _Alois P. Heinz_, Jan 22 2019 %t A323528 Select[Range[100],IntegerQ[Sqrt[Sum[PrimePi[f[[1]]]*f[[2]],{f,FactorInteger[#]}]]]&] %o A323528 (PARI) isok(n) = {my(f=factor(n)); issquare(sum(k=1, #f~, primepi(f[k, 1])*f[k,2]));} \\ _Michel Marcus_, Jan 18 2019 %Y A323528 Complement of A323527. %Y A323528 Cf. A000290, A001248, A026478, A056239, A112798, A323520, A323521, A323525, A323526. %K A323528 nonn %O A323528 1,2 %A A323528 _Gus Wiseman_, Jan 17 2019