By S. Ao and L. 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.
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September 2022
LA11
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