Sun, Mar. 4th, 2007, 10:42 pm
tell you no lies

 
I'm stranded at the computer for a bit. Sooo...

Ask me a question! Any question. And I'll give you an absolutely 100% totally true answer!
Current Mood: silly silly
 Leave a comment | 9 comments

Mon, Mar. 5th, 2007 09:00 pm (UTC)
jmatonak

Can every even integer greater than two be written as the sum of exactly two prome numbers?
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Tue, Mar. 6th, 2007 12:41 am (UTC)
odditycollector

Yes.

For purposes of the proof, we will consider these integers in their base two notation.

We can easily see that 0 can be written as the sum of exactly two prome numbers:


Likewise, we can see that 1 can be written as the sum of exactly two prome numbers:


Every even integer greater than 10 (base two) can be written as a combination of only 1's and 0's, and thus can be written as the sum of exactly two prome numbers.

Proof complete.
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Tue, Mar. 6th, 2007 12:42 am (UTC)
jmatonak

Genius!
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