Excellent! ------ Quoting Tom Karzes <karzes@sonic.net>:
A can have prime factors that B lacks. Example: A=6, B=32.
Tom
I've been playing with commutators lately, and the following puzzle turned up ...
Suppose A and B are integers > 1.
When is A^B / B^A an integer? What values are possible?
Clearly A and B must have the same prime divisors, but the primes can occur to different powers. A = 45, B = 75 is a suggestive example.
Rich
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