Comments on Crazy NewsTypePad2013-05-14T21:27:17ZMarcus Arvanhttps://philosopherscocoon.typepad.com/blog/tag:typepad.com,2003:https://philosopherscocoon.typepad.com/blog/2013/05/crazy-news/comments/atom.xml/anonymous grad student commented on 'Crazy News'tag:typepad.com,2003:6a014e89cbe0fd970d0191024a430b970c2013-05-19T01:30:19Z2013-05-19T01:32:56Zanonymous grad studentDave: the following are all examples: (3,13), (13, 27), (7, 41), (11, 257), (607, 1151), (5, 4729). Pairs of prime...<p>Dave: the following are all examples: (3,13), (13, 27), (7, 41), (11, 257), (607, 1151), (5, 4729). Pairs of prime numbers where the difference between the two numbers is less than 70 million. The discovery is important because it brings us much closer to a proof of the twin prime conjecture, which says that there are infinitely many primes, p, where p+2 is also a prime. Zhang's proof shows that there are infinitely many primes, p, where p+n is also a prime, n<7million. </p>Marcus Arvan commented on 'Crazy News'tag:typepad.com,2003:6a014e89cbe0fd970d0191023623d6970c2013-05-16T16:08:05Z2013-05-16T16:22:06ZMarcus ArvanDave: I have no clue! I'm not a mathematician, and don't know a wit about number theory. But it's a...<p>Dave: I have no clue! I'm not a mathematician, and don't know a wit about number theory. But it's a very big deal in the math community. You might want to check out Peter Woit's post on it over at his blog "Not Even Wrong" (he's a mathematics professor at Columbia). He has a link to a lot of stories and discussions on it over there. There's also a post to a story on it over at NewAPPS.</p>Dave commented on 'Crazy News'tag:typepad.com,2003:6a014e89cbe0fd970d01910234a1e3970c2013-05-16T12:36:00Z2013-05-16T15:30:26ZDave"infinitely many pairs of prime numbers p,q where p-q is less than 70,000,000..." like what is an example of what...<p>"infinitely many pairs of prime numbers p,q where p-q is less than 70,000,000..." like what is an example of what you mean?</p>