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.



![Author ORCID: We display the ORCID iD icon alongside authors names on our website to acknowledge that the ORCiD has been authenticated when entered by the user. To view the users ORCiD record click the icon. [opens in a new tab]](https://www.cambridge.org/engage/assets/public/coe/logo/orcid.png)