Pablo's Number Theory

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36 videos

I’m a maths enthusiast. This Number Theory channel is dedicated to revisiting the works of early modern mathematicians and exploring new proofs using simple,...

Latest Videos

From Linear to Cyclical Descent

Fermat's Challenge σ(x^3)=y^2 - Edwards' Descent Proof

Fermat's Sandwich Problem

x³ + 1 = y² Completing Euler's Infinite Descent

x³ + 1 = y² — A Fresh Elementary Proof

Fixing Bernoulli-Hewlett Finite Descent

Genocchi's Solution by Infinite Descent

Infinite Descent Unfold - 7 easy to follow examples

Sign-Symmetric (3,1) Algebra A Framework for Universal Integer Factorization

Some Algebraic Magic in Sums of Two Squares

Polygonal Number Identities and Prime Representations

Triangular Numbers and Hurwitz Theorem

Pythagorean Triples - Dominoes and Consecutive Sums

Modular Square Root with prime modulus by Infinite Descent

8 ways to solve Bézout's Identity

All primes 4n+1 are x^2 y^2 - Euler's Proof by Infinite Descent

Fermat's Little Theorem & Euler's Totient Function - by Infinite Descent 33

Fermat's Little Theorem & Euler's Totient Function - by Infinite Descent 23

Fermat's Little Theorem & Euler's Totient Function - by Infinite Descent 13

Decomposition of primes as x^2 +- n y^2 - Infinite Descent Method 77

Decomposition of primes as x^2 +- n y^2 - Infinite Descent Method 67

Decomposition of primes as x^2 +- n y^2 - Infinite Descent Method 57

Decomposition of primes as x^2 +- n y^2 - Infinite Descent Method 47

Decomposition of primes as x^2 +- n y^2 - Infinite Descent Method 37

Decomposition of primes as x^2 +- n y^2 - Infinite Descent Method 27

Decomposition of primes as x^2 +- n y^2 - Infinite Descent Method 17

Decomposition of Primes 4n+1 as x^2 + y^2 . Is this Fermat’s Unpublished Infinite Descent 1010

Decomposition of Primes 4n+1 as x^2 + y^2 . Is this Fermat’s Unpublished Infinite Descent 910

Decomposition of Primes 4n+1 as x^2 + y^2 . Is this Fermat’s Unpublished Infinite Descent 810

Decomposition of Primes 4n+1 as x^2 + y^2 . Is this Fermat’s Unpublished Infinite Descent 710