MathDB
n distinct divisors d_1,d_2, ...,d_n of n! with n! = d_1 +d_2 +···+d_n

Source: 1992 ITAMO p3

January 31, 2020
Divisorsfactorialsum of divisorsnumber theory

Problem Statement

Prove that for each n≥3n \ge 3 there exist nn distinct positive divisors d1,d2,...,dnd_1,d_2, ...,d_n of n!n! such that n!=d1+d2+...+dnn! = d_1 +d_2 +...+d_n.
Back to ProblemsView on AoPS