Twin Prime Conjecture (TP) 2nd Way

22 November 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

Twin Prime Conjecture (TP) 2nd Way Author: Taha M. Muhammad/ USA Kurd Iraq TP: There are infinitely many pairs of prime numbers that differ by 2 Taha’s Lemma of Twin Primes (TLTP): For every odd composite number (n), there exists an even step (2t), t∈N_+ such that p = n + 2t, q = n +2t + 2 , (p, q) ∈TP. Since odd composites are unbounded and TLTP asserts a twin-prime hit above each one, TLTP implies the existence of infinitely many twin primes.

Keywords

Math
Twin Primes
Infinite
Number Theory
Taha’s Lemma of Twin Primes

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