# Inspired in Chat

True or False?

In a primitive pythagorean triplet, at least one of the three integers must be a prime.

Note: A primitive pythagorean triplet is one in which the GCD of all three terms is 1. In particular, $(6, 8, 10)$ is not a primitive pythagorean triplet because they have a common divisor of 2.
Examples of primitive pythagorean triplets are: $(3, 4, 5), (5, 12, 13), (7, 34, 25),$ $(8, 15, 17), (9, 40, 41), (12, 35, 37)$.

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