A Pythagorean triple is a set of three integer numbers that form a right triangle. The sum of the squares of the two smaller numbers should equal the square of the largest number. Given three numbers a, b and c (c being the largest):
a^2 + b^2 = c^2
Furthermore, a Pythagorean triple is said to be primitive if the three numbers are pairwise coprime - that is, the greatest common prime factor between any two numbers is 1.
Create a function that takes a list of three numbers (unordered) and returns True if the numbers constitute a primitive Pythagorean triple, False otherwise.
is_prim_pyth_triple([4, 5, 3]) ➞ True
is_prim_pyth_triple([7, 12, 13]) ➞ False
is_prim_pyth_triple([39, 15, 36]) ➞ False
# Pythagorean triple, but not primitive.
is_prim_pyth_triple([77, 36, 85]) ➞ True
N/A