Year: 2026
Type: preprint
Abstract: The Twin Prime Conjecture is one of the oldest unsolved problems in number theory. It states that there are infinitely many pairs of prime numbers whose difference is equal to 2, such as (3, 5), (5, 7), and (11, 13). This paper examines the distribution of twin primes and presents arguments supporting the existence of infinitely many twin prime pairs. Through analysis of prime number patterns and their properties, the study contributes to the ongoing investigation of the conjecture and highlights its significance in modern mathematics. The results suggest that twin primes continue to appear throughout the set of natural numbers, providing evidence consistent with the conjecture that infinitely many twin prime pairs exist.
Author: Taha Muhammad
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225659409
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