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Polignac’s proof

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Polignac’s conjecture. Twin prime conjecture (p,p+2) Mathematical proof

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The Navier–Stokes equations is considered to be the first step to understanding the elusive phenomenon of turbulence, the Clay Mathematics Institute in May 2000 made this problem one of its seven Millennium Prize problems in mathematics. It offered a US$1,000,000 prize to the first person providing a solution for a specific statement of the problem

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#[0]​ check out ChatGPT response for Polignac's Conjecture! 🤯 ⚡️#nostr We know that these primes are not congruent to 0, 2, 3, or 4 modulo 6. Therefore, they must be congruent to either 1 or 5 modulo 6. If all primes were congruent to 1 modulo 6, then there would be no prime pairs with a difference of 2, as both primes would be odd. However, if all primes were congruent to 5 modulo 6, then they would alternate between being 2 more or 2 less than a multiple of 6. This would imply the existence of infinitely many prime pairs with a difference of 2, supporting Polignac's Conjecture.