# When is 2 About the Same as 70 Million?

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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### WE'LL BE BLUNT

It is astonishingly hard keeping a newsroom afloat these days, and we need to raise \$253,000 in online donations quickly, by October 7.

The short of it: Last year, we had to cut \$1 million from our budget so we could have any chance of breaking even by the time our fiscal year ended in June. And despite a huge rally from so many of you leading up to the deadline, we still came up a bit short on the whole. We can’t let that happen again. We have no wiggle room to begin with, and now we have a hole to dig out of.

Readers also told us to just give it to you straight when we need to ask for your support, and seeing how matter-of-factly explaining our inner workings, our challenges and finances, can bring more of you in has been a real silver lining. So our online membership lead, Brian, lays it all out for you in his personal, insider account (that literally puts his skin in the game!) of how urgent things are right now.

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