Prime Gap

In 2013, Yitang Zhang proved lim n min k n { p k + 1 p k } < 70 000 000 , \lim_{n\to\infty}\min_{k\ge n}\{p_{k+1}-p_k\}<70\,000\,000, where p k p_k denotes the k k -th prime. Is it equivalent to the follow statement?

There are infinitely many prime pairs that differ by less than 70 70 million.

No Yes

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