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

It bears notice that the Subway worker, Yitang Zhang, had a math PhD from Purdue.