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Sudden Progress on Prime Number Problem Has Mathematicians Buzzing

Yitang Zhang, a lecturer at the University of New Hampshire, showed that even though primes get increasingly rare as you go further out along the number line, you will never stop finding pairs of primes separated by at most 70 million. His finding was the first time anyone had managed to put a finite bound on the gaps between prime numbers, representing a major leap toward proving the centuries-old twin primes conjecture, which posits that there are infinitely many pairs of primes separated by only two (such as 11 and 13). 
In the months that followed, Zhang found himself caught up in a whirlwind of activity and excitement: 

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