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Old 03-12-2015, 07:00 PM   #432
pdurrant
The Grand Mouse 高貴的老鼠
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Quote:
Originally Posted by Bilbo1967 View Post
How do we know this? Is there some source you could point me to with the proof? I'd be interested to read it.
This Wired article has some of the details.

From having no proof that there's any upper bound on infinite pair distance, we've gone in a couple of years to having an upper bound of 600. The big step was getting a finite bound, of course, which was by a single mathematician, Yitang Zhang, who developed a proof that there were an infinite number of prime pairs separated by at most 70 million.

It may be that in the next few years we'll see a proof of the prime pairs conjecture (that there are an infinite number of prime pairs P and Q where Q=P+2).
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