MathDB

2013 PUMaC Team 4

Source:

November 24, 2013

factorial

Problem Statement

Find the sum of all positive integers

m

such that

2^m

can be expressed as a sum of four factorials (of positive integers).
Note: The factorials do not have to be distinct. For example,

2^4=16

counts, because it equals

3!+3!+2!+2!