Adhikari, Khagendra2023-03-192023-03-192016https://hdl.handle.net/20.500.14540/15837The distribution of primes, mainly focusing on the Tchebycheff estimates of prime counting function, Mertens Theorem which are most significant results for distribution of primes have beeen studied in this thesis. Distribution of Twin Primes, Twin Prime Conjecture and some developments towards the Twin Prime Conjecture is also studied. The alternative approaches for the Twin Prime Conjecture has also been studied in this thesis.en-USPrime conjecturePrime numbersMertens theoremThesis