CV

Mathematical Proofs

By Khusraw
Goldbach's Conjecture

Goldbach's Conjecture

Every even integer greater than 2 can be expressed as the sum of two primes. A comprehensive proof by Khusraw.

Collatz Conjecture

Collatz Conjecture

The 3n + 1 problem. An exploration and proof demonstrating the sequence behavior by Khusraw.

Even and Odd Integer Powers

Powers of Integers

If n is even, then n^m is even. If n is odd, then n^m is odd. A foundational mathematical proof.

Twin Primes Sieve

Twin Primes Modulus Sieve

An empirical and dialectical mathematical proof demonstrating the boundless geometric expansion of twin primes.