Problem

(a) We showed that in any primitive Pythagorean triple (a, b, c), either a or b is even. U...

(a) We showed that in any primitive Pythagorean triple (a, b, c), either a or b is even. Use the same sort of argument to show that either a or b must be a multiple of 3.


(b) By examining the above list of primitive Pythagorean triples, make a guess about when a, b, or c is a multiple of 5. Try to show that your guess is correct.

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Solutions For Problems in Chapter 2