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

Some Powers Sum Power (Posted on 2014-03-09)

Determine all possible triplets (A,B,C) of positive integers such that:

                     A^B + B^C = C^A

Prove that there are no others.

No Solution Yet Submitted by K Sengupta

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Near Misses

| Comment 2 of 3 |

(In reply to Near Misses by Steve Herman)

Seems that

1^1 + 1^2 = 2^1

is the only solution.

Posted by Ady TZIDON on 2014-03-09 12:34:09

Please log in:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (14)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info