A362584 - OEIS

A362584

Integers k > 1 such that k >= the square of the sum of their prime factors (A074373(k)).

243, 256, 270, 288, 300, 320, 324, 336, 360, 375, 378, 384, 400, 405, 420, 432, 441, 448, 450, 480, 486, 490, 495, 500, 504, 512, 525, 528, 540, 550, 560, 567, 576, 585, 588, 594, 600, 616, 624, 625, 630, 640, 648, 650, 660, 672, 675, 686, 693, 700, 702, 704

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Simon R Blow, Table of n, a(n) for n = 1..5000

EXAMPLE

243 >= A001414(243)^2 = (3+3+3+3+3=15)^2 = 225 so 243 is a term.

800 >= A001414(800)^2 = (2+2+2+2+2+5+5=20)^2 = 400 so 800 is a term.

MAPLE

q:= n-> n>=add(i[1]*i[2], i=ifactors(n)[2])^2:

select(q, [$2..800])[]; # Alois P. Heinz, Jun 23 2023

MATHEMATICA