Mathematical Proofs

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Universe realised that demand for stars, planets and seasons ceases Thus crippled my mind to cease finding its order in seasons by reasons

Paper must be from Galaxy, ink of my Pen from Zarathustra’s blood With them I can describe your reason in numbers, season by season

— Quatrain by Khusraw for order of the universe

$Goldbach's Conjecture$

Goldbach's Conjecture

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

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$Collatz Conjecture$

Collatz Conjecture

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

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$Twin Primes Sieve$

Twin Primes Modulus Sieve

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

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$Even and Odd Integer Powers$

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.

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