>But what about 8? It's factors are 1 and 8 and 2 and 4. That doesn't work
>too well.
8 = 3 + 5 : 3 is prime 5 is prime. Q. E. D.
other examples:
4 = 2 + 2
6 = 3 + 3
8 = 5 + 3
10 = 5 + 5 = 3 + 7
etc . . .
I believe what we are talking about here is Goldbach's Conjecture. To date
(to my knowledge) it has not been proven. I once read (somewhere) that
when Goldbach conjectured this, he mailed the idea (or somehow presented
it) to Euler, who never responded. Any book on number theory would
probably mention this conjecture, most likely in a section on "Unsolved
Problems and Conjectures."
Hope this helps,
Alex Healy
[EMAIL PROTECTED]
>>I ran across an interesting statement on the top of a math paper that I
>>was helping my sister with. It said that every even number greater than 4
>>is the sum of two primes. I am curious if this has been proven and if
>>anyone knows where I could find more info about this. Thanks.
