We propose an elegant solution by adding two

Pythagorean triples to obtain a new

Pythagorean triple.

Consequently, those dates received some points, but not as many as dates in which the three numbers form a

Pythagorean triple, which only happens 50 times a century.

A

Pythagorean triple is a set of three integers which occur as the side lengths of a right-angled triangle.

Keywords The Smarandache function,

Pythagorean triple, equation, positive integer solutions.

As for a

Pythagorean triple (x, y, z) satisfying the relation [x.

Did you know, too, that if you take any

Pythagorean triple, such as 3, 4, 5 or 5, 12, 13, and multiply the three numbers, the result is always a multiple of 60?

A

Pythagorean triple is a set of three whole numbers, a, b, and c, such that a[super]2 + b[super]2 = C[super]2.

Note that a triple (a,b,c), of natural numbers is called a

Pythagorean triple if [a.

Trial and error with the

Pythagorean triple {3,4,5} soon establishes that x = 32 and y = 24.

However, when a, b, c are all integers and obey equation (1), they are referred to as a

Pythagorean triple [a, b, c].

In the 1940s, Otto E Neugebauer and Abraham J Sachs, mathematics historians, pointed out that the other three columns were essentially

Pythagorean triples " sets of integers, or whole numbers, that satisfy the equation a2 + b2 = c2.

The tree of primitive

Pythagorean triples is no different (Figure 1).