A382469 Numbers k such that the largest prime factor of k equals the sum of its remaining distinct prime factors.

30, 60, 70, 90, 120, 140, 150, 180, 240, 270, 280, 286, 300, 350, 360, 450, 480, 490, 540, 560, 572, 600, 646, 700, 720, 750, 810, 900, 960, 980, 1080, 1120, 1144, 1200, 1292, 1350, 1400, 1440, 1500, 1620, 1750, 1798, 1800, 1920, 1960, 2160, 2240, 2250, 2288, 2400, 2430, 2450, 2584, 2700, 2800, 2880, 3000, 3135, 3146, 3240

Offset: 1

Author

Paolo Xausa, Mar 31 2025

Keywords

• nonn

Comments

A larger than usual number of terms is provided in order to distinguish this sequence from A365795, from which it first differs at n = 58 (a(58) = 3135 is missing from A365795).

First differs from A071140 at n = 140.

Links

• Paolo Xausa, Table of n, a(n) for n = 1..10000

Crossrefs

Positions of zeros in A382468.

Supersequence of A365795.

Cf. A006530, A027748, A071140, A221054.

Programs

Mathematica

A382469Q[k_] := Last[#] == Total[Most[#]] & [FactorInteger[k][[All, 1]]];
Select[Range[4000], A382469Q]