another small challenge for those who are bored:

Give that p and q are consecutive primes, show that the equation p + q = 2r, where r
is prime, has no solutions.

Question

another small challenge for those who are bored:

Give that p and q are consecutive primes, show that the equation p + q = 2r, where r
is prime, has no solutions.

anonymous · Answer

this is not that hard, any ideas?

cruffo · Answer

Well, we now p or q is not 2.

cruffo · Answer

sorry ---  know -- keys are sticky, ewwwww....

anonymous · Answer

:)

cruffo · Answer

Should we write p = 2k+1, for some integer k,
and q = 2j + 1 for some integer j

anonymous · Answer

rearranging give r=(p+q)/2

(p+q)/2  what is this?

anonymous · Answer

average

cruffo · Answer

But p and q  are consecutive primes :)

anonymous · Answer

yep, that is it!

anonymous · Answer

oh lol
good one :)

anonymous · Answer

I found quite a few smaller challenges, there are a few fun ones

anonymous · Answer

I would like to see them, they are quite interesting

anonymous · Answer

I will post a new one now