perplexus.info :: Just Math : Some Factorials Sum Power

Some Factorials Sum Power (Posted on 2008-12-21)

Determine all possible pair(s) (P, Q) of positive integers that satisfy this equation.

牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋P! + Q! = P^Q

where P and Q are not necessarily distinct.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

(P, Q) = (2,2) and (2,3) are the only solutions to the given problem.

For an explanation and proof, refer to the solution submitted by Daniel in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): solution with proof - Kudos!	Daniel	2008-12-22 15:37:58
re: solution with proof - Kudos!	JayDeeKay	2008-12-22 12:01:11
solution with proof	Daniel	2008-12-22 00:41:08
computer exploration	Charlie	2008-12-21 15:18:29

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