Challenge: Can you find all the integers $a$, $b$, $c$ satisfying $2a^2 + 3b^2 = 5c^2$? Looks simple, and there are in fact a number of easy solutions.
But most of them turn out to be anything but obvious! A major advance in number theory means this book can give an easy answer to this and countless similar questions.
| Challenge | Can you find all the integers a b c satisfying 2a2 3b2 5c2 |
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American Mathematical Society Gateway to number theory. applying the power of algebraic curves, paperback/keith kendig
