2

Look, I don't have a page for every number. This has got to stop sometime, why not now?

As long as you're here, though, please take a moment to think about Goldbach's Conjecture, which states (in my super-elegant rewording):

Every non-prime even number is the sum of two primes.

This has long been my favorite unproven hypothesis, even since before Fermat's Last Theorem kicked the bucket. Tell me if you know of any progress. I'm certainly not making any... :-)

While we're on the subject of unproven hypotheses, here are some others I like to think about:

• Are there an infinite number of twin primes? That is, two primes P1 and P2, where P2 - P1 = 2.
• The 3n + 1 conjecture (it has a name, I just can't remember what it is... the "Collatz Conjecture", that's it): take a number N. If it's odd, multiply it by three and add 1; if it's even, divide it by two. Repeat this sequence until it is equal to 1. It is conjectured that every number eventually reaches 1 this way, but no one has proven it so far. No exceptions have been found, either, of course. :-)

You might also want to see this unsolved problems page.

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