Day 75

**True or False:
Every odd number greater than 1 is the smallest member of a primitive Pythagorean triple.**

Definitions:

- A
*"Pythagorean triple"*is a set of three whole numbers which can be the three side lengths of a right triangle. *"Primitive"*means the three numbers don't have a common factor. For example, the Pythagorean triple $(6,8,10)$ is not primitive because all three numbers are divisible by 2.

Note that the statement is false if and only if there is an odd number greater than 1 that is

NOTthe smallest member of some primitive Pythagorean triple. For example, there are primitive Pythagorean triples where the smallest member is even, but that's not relevant to the problem.