My Math Forum natural numbers !

 Number Theory Number Theory Math Forum

 January 13th, 2010, 08:25 AM #1 Member   Joined: Jul 2009 Posts: 88 Thanks: 0 natural numbers ! Find all $m,n,t \in \mathbb{ N}$such that $n!+m!=t!$
 January 13th, 2010, 08:41 AM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 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.

 Tags natural, numbers

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post yo79 Math Events 2 April 7th, 2013 02:11 AM EulerRules Number Theory 9 March 5th, 2013 09:39 AM Eureka Number Theory 4 November 3rd, 2012 03:51 AM jstarks4444 Number Theory 4 February 18th, 2011 05:22 PM jinjouk Number Theory 12 June 3rd, 2008 06:11 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top