Fermat’s Sum of Two Squares Theorem and Pythagorean Primes | Algebra Meets Geometry
Автор: Ways of Mathematics
Загружено: 2026-01-23
Просмотров: 3
Описание:
In this video, we explore Fermat’s Theorem on the Sum of Two Squares and its deep connection with Pythagorean primes.
We show how primes of the form p=4n+1 can be written as a sum of two squares and how this algebraic property naturally generates primitive Pythagorean triangles.
Using clear explanations and visual animations, we demonstrate how the identity
(x^2-y^2)^2+(2xy)^2=(x^2+y^2)^2
builds a right triangle directly from algebraic expressions.
This video is ideal for BS, M.Phil, and early PhD students, and for anyone interested in number theory, classical results of Fermat, and the geometry of numbers.
📌 Topics covered:
Fermat’s sum of two squares theorem
Primes of the form 4n+1
Pythagorean primes vs Pythagorean triples
Algebraic construction of right triangles
#maths #mathematics #mathstricks #pythagoreantheorem
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