The Largest Integer Expressible as a Sum of Reciprocal of Integers Original Research Article

LetM(n) be the largest integer that can be expressed as a sum of the reciprocal of distinct integers less-than-or-equals, slantn. Then for somec1,c2>0, log n+γ−2−(c1/log2 n)less-than-or-equals, slantM(n)less-than-or-equals, slantlog n+γ−(c2/log2 n), which answers a question of Erdimages.