Pythagorean prime
id:
pythagorean-prime-281-17788507
title:
Pythagorean prime
text:
A Pythagorean prime is a prime number of the form 4 n + 1 . Pythagorean primes are exactly the odd prime numbers that are the sum of two squares; this characterization is Fermat's theorem on sums of two squares. Equivalently, by the Pythagorean theorem, they are the odd prime numbers p for which p is the length of the hypotenuse of a right triangle with integer legs, and they are also the prime numbers p for which p itself is the hypotenuse of a primitive Pythagorean triangle. For instance, the
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Pythagorean_prime
date created:
date modified:
2023-10-22T19:09:06Z
main entity:
{"identifier":"Q2654085","url":"https://www.wikidata.org/entity/Q2654085"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/3/3c/Squared_right_triangle.svg","width":612,"height":279}
fields total:
13
integrity:
14