Hi Alex,

I wonder if you happened to know whether the expression
x^2 + y^n = z^(2n) was ever addressed. x,y,z integers, n is odd >= 3

I found, on the net x^2 + y^3 = z^6

---- www.seanet.com/~ksbrown/kmath213.htm

I asked people to run numbers for counter example and nil was found up to n=20.

Obviously, the claim is that no non-trivial solutions exist. So far I failed to prove it and so failed some gifted I have asked to try. Yet, some strong indications exist to support the
claim/hypothesis/conjuncture.

Please note, I am not even an amateur.

Boaz Ben-David.

p.s
in one of your marvelous pages you wrote "enough to the wise"
the original saying, which looks to fit better, is: "enough to the wise with a hint"