2005 Canadian MO Problems/Problem 2
Problem
Let be a Pythagorean triple, i.e., a triplet of positive integers with
.
- Prove that
.
- Prove that there does not exist any integer
for which we can find a Pythagorean triple
satisfying
.
Let be a Pythagorean triple, i.e., a triplet of positive integers with
.
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