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Annals of Mathematics

Kind of a Big Deal: Mathematician Proves Weak Version of Twin Prime Conjecture

The twin prime conjecture states that there are an infinite number of twin primes -- prime numbers where one prime is two greater than the other. For example, 1 and 3 are twin primes, so are 101 and 103, 881 and 883, and so on. This conjecture has never been proven, but Yitang Zhang believes he has proven there are infinite primes paired with other primes no greater than 70 million more than themselves. Here's why that's kind of a big deal.

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