perplexus.info :: Just Math : Unequally Yoked III

Unequally Yoked III (Posted on 2009-09-01)

Determine all possible nonzero integer(s) P and Q, with P ≠ Q, that satisfy this equation.

牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋牋P^P+2Q = Q^Q+2P

Submitted by K Sengupta

Rating: 4.5000 (2 votes)

Solution: (Hide)

(P,Q) = (64,16), (32,16), (16,32),(16,64)
For an explanation, refer to the analytical solution submitted by Steve Herman here and here

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

Subject	Author	Date
analytical solution, completed (spoiler)	Steve Herman	2009-09-04 03:48:03
analytical attempt	Steve Herman	2009-09-02 14:35:16
computer exploration (possible spoilers)	Charlie	2009-09-01 12:35:34

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