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by drchewbacca 2364 days ago
I'm not sure, I'm not an expert, it says here the twin prime conjecture itself is still unproven.

"On April 17, 2013, Yitang Zhang announced a proof that for some integer N that is less than 70 million, there are infinitely many pairs of primes that differ by N."

https://en.wikipedia.org/wiki/Twin_prime