Inspired in Chat
Number Theory
Level
2
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: \( (3, 4, 5), (5, 12, 13), (7, 34, 25),\) \((8, 15, 17), (9, 40, 41), (12, 35, 37) \).
by
Calvin Lin