When is 2 About the Same as 70 Million?

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A “twin prime” is a pair of prime numbers that differ by two. For example, 11 and 13, or 857 and 859. The “twin prime conjecture” states that there are an infinite number of twin primes. To this day, nobody has ever been able to prove this. It’s one of the great open conjectures of number theory.

Recently, however, an unknown mathematician proved a theorem that, according to the experts, is almost the same thing. It turns out that there are an infinite number of prime pairs that differ by some number N. And what is N? We still don’t know, but Yitang Zhang of the University of New Hampshire has demonstrated that it’s less than 70 million.

This is why I love number theory. I mean, what’s a difference of 69,999,998 between friends? Also this:

Without communicating with the field’s experts, Zhang started thinking about the problem. After three years, however, he had made no progress. “I was so tired,” he said. To take a break, Zhang visited a friend in Colorado last summer. There, on July 3, during a half-hour lull in his friend’s backyard before leaving for a concert, the solution suddenly came to him. “I immediately realized that it would work,” he said.

Isn’t that just perfect?

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is the first thing despots go after. An unwavering commitment to it is probably what draws you to Mother Jones' journalism. And as we're seeing in the US and the world around, authoritarians seek to poison the discourse and the way we relate to each other because they can't stand people coming together around a shared sense of the truth—it's a huge threat to them.

Which is also a pretty great way to describe Mother Jones' mission: People coming together around the truth to hold power accountable.

And right now, we need to raise about $400,000 from our online readers over the next two months to hit our annual goal and make good on that mission. Read more about the information war we find ourselves in and how people-powered, independent reporting can and must rise to the challenge—and please support our team's truth-telling journalism with a donation if you can right now.

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