Re: [math-fun] Square hex numbers?

I think these are just Diophantine equations (nonlinear polynomial). Tom Dan Asimov writes:

This suggests the question:

----- P and Q be integer polynomials of degrees >= 2.

Find the solution set {(N,K) in Z^2 | P(N) = Q(K)}. -----

What's known about the general case when

max(deg(P), deg(Q)} = 2, 3, 4, or >= 5

??? I would try googling this but I'm not sure how to search for it.

—Dan

Adam Goucher wrote: -----

Your equation is of the form:

(quadratic in n) = (quadratic in K)

so you can complete the square on both sides and ..... -----

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