## An Algorithmic Proof of the Twin Primes Conjecture and the Goldbach Conjecture

**Authors:** Juan G. Orozco

This paper introduces proofs to several open problems in number theory, particularly the Goldbach Conjecture and the Twin Prime Conjecture. These two conjectures are proven by using a greedy elimination algorithm, and incorporating Mertens' third theorem and the twin prime constant. The argument is extended to Germain primes, Cousin Primes, and other prime related conjectures. A generalization is provided for all algorithms that result in an Euler product like\prod{\left(1-\frac{a}{p}\right)}.

**Comments:** 9 Pages.

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### Submission history

[v1] 2017-01-25 20:40:28

[v2] 2017-01-26 21:10:42

[v3] 2017-03-11 10:01:21

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