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

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MrAwojobi
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Here is my proof of the 'Twin Prime Conjecture'.
 

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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.
 

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