Every number $2^N > 4$ can be expressed by the sum of 2 primes?
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For example the first cases are:
$2^3= 8 = 3+5$
$2^4= 16 = 3+13$
and so on ...
elementary-number-theoryprime-numbers
asked 2012-05-31
user id:32204
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Ever heard of Goldbach's Conjecture? http://en.wikipedia.org/wiki/Goldbach%27s_conjecture – 2012-05-31
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This is a special case of Goldbach's conjecture, and I think it is also open but don't have a reference. By the way, $2^2=2+2$ works. – 2012-05-31
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Yes, I know that is a special case of Goldbach conjecture. And I dont have a reference too. So, i dont know if is open or not. Is a strong restriccion. And i exclude the 2. for these reason i start with 8. – 2012-05-31