Simplified Proof of the Twin Primes Conjecture


Since deriving a Twin Primes proof in 2016, I have sought to simplify the proof and make it available to a larger audience. I rewrote it a few months later, adding some info, but it was generally still not approachable enough in written form. A year later, I distilled the proof even further but didn’t deem it worth another rewrite at that time. That changed recently, when I understood another simplification in the process, one that should allow me to more rapidly, clearly, and concisely show that there are indeed Infinite Twin Primes. This change in approach gets directly at the heart of the issue, and reduced my proof from “pages to paragraphs”. With that background, here it is.

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