## Numbers of the form $2^ma + 2^nb$ where $\text{gcd}(a,b) = 1$

Given positive integers $$a,b\in\mathbb{N}$$ with $${\text gcd}(a,b) = 1$$, and given a positive integer $$d$$, are there necessarily positive integers $$m,n$$ such that $$d \;| \; (2^ma + 2^nb)$$?