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Sum of Two Prime Numbers

If p, q > 2 are consecutive in set of primes. Since p,q can only be odd number, (p+q) is an even number.

Can (p+q)/2 be prime?

from http://republicofmath.com/

"There are no primes between p & q..." from @JoeUchill

I think this question is awesome because it reminded me at the first glance that “there are arbitrarily long arithmetic progressions of primes” proven by Green and Tao. http://arxiv.org/abs/math.NT/0404188

So it appeared as a tough question and I immediately gave up...

Comments


Surajdubey

No..!!

  

Ravi

There's a Show Answer button below the puzzle!


Aakash

Took me longer than I'd like to admit...very nice though.


pratik31

no


flowerking

Yes.. took some of thinking to figure out , but Good one!

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