By Suqin Ao and Lucy Lu
Abstract
By using a new method with Sieves, we can find all kinds of prime pairs including the twin primes, and prove that for any natural number k, there are infinitely many pairs of primes that differ by 2k. Also, by exploring the density of prime pairs that add together to equal to an even number, we prove that for every even number n >2, there exists at least one pair of primes p and q such that n = p + q.
Download full paper below.
Arxiv version
October 21, 2023
LAL_arxiv_09
.pdf
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Annals of Mathematics version
October 21, 2023
LAL_aom_07
.pdf
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