perplexus.info :: Just Math : Square-Crossed Power

Square-Crossed Power (Posted on 2006-07-23)

Determine all possible positive integral solutions of a^b²=b^a.

See The Solution Submitted by K Sengupta

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computer solution (spoiler)

| Comment 1 of 11

so far all I have found is
a=1 b=1
a=16 b=2
a=27 b=3

Posted by Daniel on 2006-07-23 11:05:49

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