Is the Twin Prime Conjecture Finally Proven? A Scientist's Perspective

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The discussion centers around a proposed proof of the Twin Prime Conjecture, which includes two significant errors. The larger mistake is deemed irrelevant to the overall reasoning, while a smaller mistake critically undermines the proof's validity. Specifically, the fraction 2/15 N is identified as incorrect and should be removed. Participants are invited to highlight these mistakes for further clarification. The conversation emphasizes the importance of accuracy in mathematical proofs, particularly in relation to the Twin Prime Conjecture.
MrAwojobi
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Here is my proof of the 'Twin Prime Conjecture'.
 

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Attachment approved.
 
Two crucial errors appear on page 4. Oddly, the big mistake doesn't matter while the small mistake ruins the proof.
 
Can you please highlight the mistakes. Many thanks
 
I acknowledge that a small mistake has been made in my proof which doesn't actually affect the reasoning behind the proof. The mistake is where the fraction 2/15 N is shown. This fraction is incorrect and should be deleted.
 

Thread 'Confusion about the Moyal-Weyl twist'

I am studying the mathematical formalism behind non-commutative geometry approach to quantum gravity. I was reading about Hopf algebras and their Drinfeld twist with a specific example of the Moyal-Weyl twist defined as F=exp(-iλ/2θ^(μν)∂_μ⊗∂_ν) where λ is a constant parametar and θ antisymmetric constant tensor. {∂_μ} is the basis of the tangent vector space over the underlying spacetime Now, from my understanding the enveloping algebra which appears in the definition of the Hopf algebra...
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