January 13th, 2010, 08:25 AM  #1 
Member Joined: Jul 2009 Posts: 88 Thanks: 0  natural numbers !
Find all such that 
January 13th, 2010, 08:41 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: natural numbers !
Factorials are positive, so if t > 2 then t! > m! + n! for m,n < t and t! < m! + n! for m >= t or n >= t So all you need to do is check t <= 2. 

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