Guilty_Biscuit wrote:Syzygy wrote:Anyone feel like offering a year's free premium for answering some hard puzzle?

OK, OK
1 Year's premium mebership for the first person to post a rigorous mathematical proof of the statement:
"Every even integer greater than 2 can be written as the sum of two primes"For example
4 = 2 + 2
6 = 3 + 3
8 = 3 + 5
10 = 3 + 7 = 5 + 5
12 = 5 + 7
14 = 3 + 11 = 7 + 7
and so on...
No cheating! I'll know

If there is a proof for that, its gunna take a while to sort out...I'll try it for 30 mins tomorrow, but I'm not expecting much.
mandalorian2298 wrote:Koesen wrote:If you want a hard math problem, try proving that if an integer n is greater than 2, then the equation an + bn = cn has no solutions in non-zero integers a, b, and c.
[edit: sorry, that should read a to the power of n, b to the power of n and c to the power of n)
You didn't state that the following is false:
a=b
b=c
c=a
Thus, here is my counter example: a=b=c=1

If you make a,b and c all one, that makes 1+1=1, so its wrong...
Btw, there is a proof for Fermats Last Theorem, it was solved in 1994 I think, by an English guy. Took something like 7 years for him to solve it, so we stand no chance.