perplexus.info :: Just Math : Exponent Crossed Power

Exponent Crossed Power (Posted on 2009-03-18)

Determine all possible pair(s) (X, Y) 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X^{X^X} = Y^Y

Note: The order of calculation in X^{X^X} is as given in this article.

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

(x,y)=(1,1) is the only possible solution.
For an explanation, refer to the solution submitted by Charlie in this location.

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

Subject	Author	Date
WELL, Well, well ...	ed bottemiller	2009-03-27 19:05:13
re(2): No Subject	ed bottemiller	2009-03-19 10:28:25
re: No Subject	Charlie	2009-03-18 22:00:46
No Subject	ed bottemiller	2009-03-18 19:38:19
re: Titration or Tetration ?	Charlie	2009-03-18 15:54:16
going farther	Charlie	2009-03-18 15:50:28
Titration or Tetration ?	ed bottemiller	2009-03-18 15:42:16
improved program	Charlie	2009-03-18 15:19:52
computer exploration	Charlie	2009-03-18 13:46:28
seemed like it would work	Jer	2009-03-18 13:06:25

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