Is there a way to prove or to disprove this mathematical induction ?

Every even-number higher than 2 of N numbers (natural numbers) can be written as sum of two prime-numbers.

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- November 9th 2012, 07:30 AMexkoMathematical induction of even- numbers ...
Is there a way to prove or to disprove this mathematical induction ?

Every even-number higher than 2 of N numbers (natural numbers) can be written as sum of two prime-numbers. - November 9th 2012, 07:34 AMrichard1234Re: Mathematical induction of even- numbers ...
Given that no one has yet found a solution to that problem, I don't think there would be an easy inductive solution.

- November 9th 2012, 07:58 AMexkoRe: Mathematical induction of even- numbers ...
Thank you for your answer Richard!

- November 9th 2012, 08:49 AMexkoRe: Mathematical induction of even- numbers ...
So there doesnt exist any method used in Discrete Math to prove this yet, right ? :)

It cant be done by looking on it as operation '+' upon numeral system(or group) which contains all prime numbers Pn {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, ...}; Pn^2 -> E ?

where E is natural system(group) of natural even numbers (2k) higher than 2.