A Proof of Polignac’s Conjecture and Infinite Twin Primes
Jackson Capper
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Polignacâs Conjecture, and the Twin Prime Conjecture are widely considered to remain unproven since first proposed in 1849. We provide a proof of the conjectures by defining a prime in terms of its lack of divisibility and express the probability of its occurrence based on its indivisibility. Inadvertently, a more generalised form of Polignacâs Conjecture is proven, and a novel proof of Euclidâs Theorem is derived.