| This thesis contextualizes the Twin Prime Conjecture within the broader mathematical discourse on prime number theory. It synthesizes the historical contributions and breakthroughs concerning the conjecture from the 19th century to the 21st century. The modern contributions established the existence of bounded gaps between primes, with Zhang proving an upper bound of 70 million, Maynard refining this to 600 and further to 12 under stronger assumptions, and the Polymath Project reducing it to 246 and potentially to 6. Computational analysis is integrated to visually present the concepts discussed, including twin prime functions. The literature review extends to prime distributions and constellations. Concluding, this thesis highlights the contributions of emerging mathematicians like Maynard and collaborative efforts like the Polymath Project as indicative of a promising future for mathematical research into prime numbers. |
