MathDB
1!+2!+...+n! is a perfect power - [Iran Second Round 1986]

Source:

August 9, 2010
modular arithmeticnumber theorynumber theory unsolved

Problem Statement

Find all positive integers nn for which the number 1!+2!+3!++n!1!+2!+3!+\cdots+n! is a perfect power of an integer.