Goldbach's Other Conjecture

Jeff Hevrin 01 Feb 2009 17:23

I thought this was kind of cool. Most of the time we only here about the main Goldbach's Conjecture, here is another one that is close to being proven:

**The Odd Goldbach Problem: Every odd n > 5 is the sum of three primes.**

There has actually been substantial progress on this. In 1937, it was proved that this is true for sufficiently large odd integers n. In 1956, a guy named Borodzkin showed n > 314348907 is sufficient (the exponent is 315). And in 1989, Chen and Wang reduced this bound to 1043000. The exponent still must be reduced dramatically before are able to use computers to take care of all the small cases.