#### Who is Pythagoras? Information about the studies and theorem of Pythagoras, the great mathematician of antiquity.

Greek mathematician and philosopher (Samos, Greece, 570? BC – Metaponto, Italy, 480? BC). Towards the year 532 a. He traveled to Magna Graecia, where he founded the “Pythagorean order” in Crotona, which had a great influence in southern Italy and in Greece.

Illustration from 1913 showing Pythagoras teaching a class of women. Many prominent members of his school were women and some modern scholars think that he may have believed that women should be taught philosophy as well as men. (Source : wikipedia.org)

Later, around the year 496 a. C., he had to flee from the tyranny of Polycrates and went into exile in Metaponto.

The members of the Pythagorean school formed a scientific, philosophical, political and religious group and were interested in the study of various subjects such as mathematics, philosophy, music, astronomy and medicine. The Pythagoreans distinguished perfectly between logistics, or the study of calculus, and arithmetic, which was what interested them most from the beginning, and which dealt with the abstract properties of numbers. They were based mainly on the study of whole numbers, represented with sets of points and identifying them with discrete sets of units. Said numbers, according to the corresponding geometric shape, were classified into triangular, square, pentagonal, hexagonal, etc., that is, the shape of the numbers reported their properties.

The Pythagorean school was also interested in studying other types of more concrete numbers, such as friendly numbers (two natural numbers are friendly if each of them is the sum of the strict divisors of the other), perfect numbers (a number is perfect when the sum of their strict divisors is equal to the same number), abundant and deficient numbers, and they also studied the difference between prime and composite numbers, and the theory of proportion, and introduced ten means between two numbers.