A341321 - OEIS

A341321

Composite numbers k that are divisible by (k mod sopfr(k))+sopfr(k), where sopfr = A001414.

4, 6, 8, 9, 10, 12, 14, 15, 16, 22, 26, 27, 30, 34, 38, 46, 58, 60, 62, 64, 70, 72, 74, 82, 84, 86, 94, 105, 106, 118, 122, 126, 128, 134, 140, 142, 144, 146, 150, 158, 166, 168, 178, 180, 194, 202, 206, 214, 218, 220, 226, 231, 240, 254, 256, 262, 264, 270, 274, 278, 280, 286, 288, 298, 302, 308

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OFFSET

1,1

LINKS

Robert Israel, Table of n, a(n) for n = 1..10000

EXAMPLE

a(3) = 8 is a term because 8 is composite, sopfr(8) = 3*2 = 6, 8 mod 6 = 2, and 8 is divisible by 2+6.

MAPLE

filter:= proc(n) local s, m, t;

if isprime(n) then return false fi;

s:= add(t[1]*t[2], t=ifactors(n)[2]);

m:= n mod s;