Our books

Become a Fan

« A Positive Testimonial | Main | On "What Made the Difference?" »



Feed You can follow this conversation by subscribing to the comment feed for this post.


"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?

Marcus Arvan

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.

anonymous grad student

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.

Verify your Comment

Previewing your Comment

This is only a preview. Your comment has not yet been posted.

Your comment could not be posted. Error type:
Your comment has been saved. Comments are moderated and will not appear until approved by the author. Post another comment

The letters and numbers you entered did not match the image. Please try again.

As a final step before posting your comment, enter the letters and numbers you see in the image below. This prevents automated programs from posting comments.

Having trouble reading this image? View an alternate.


Post a comment

Comments are moderated, and will not appear until the author has approved them.

Your Information

(Name and email address are required. Email address will not be displayed with the comment.)

Subscribe to the Cocoon

Job-market reporting thread

Current Job-Market Discussion Thread

Philosophers in Industry Directory


Subscribe to the Cocoon