MathDB

Denote by

S(a,b)

the set of integers

k

that can be represented as

k=a\cdot m+b\cdot n

, for some non-negative integers

m

and

n

. So, for example,

S(2,4)=\{0,2,4,6,\ldots\}

. Then, find the sum of all possible positive integer values of

x

such that

S(18,32)

is a subset of

S(3,x)

Problem Statement