Around 2000 BC, ancient Babylon and Egypt made significant contributions to mathematics with their recognition of Pythagorean triples. These sets of three positive integers ( a , b , c ) (a, b, c) satisfy the equation a 2 + b 2 = c 2 a^2 + b^2 = c^2 , encapsulating the foundational concept of the Pythagorean theorem. This theorem, critical in geometry, states that in a right-angled triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. In Babylon, clay table