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Prime number + 2 = Prime number
06-24-2016, 07:53 PM (This post was last modified: 06-24-2016 08:15 PM by Ivan Rancati.)
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Prime number + 2 = Prime number
EDIT: oops. Twin primes, plenty of study on that already. Sorry for the old news

I read this riddle in a 1950s encyclopedia (in Italian), and it piqued my interest.

Adding some prime numbers to 2 still yields a prime number
For example
3, 5
5, 7
11, 13
17, 19
41, 43
and so on

How could one possibly go about proving that there is an infinite number of these "prime pairs", or that past a certain prime number there is never going to be such a pair?

I would imagine there is already some conjecture about this, but not sure

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Prime number + 2 = Prime number - Ivan Rancati - 06-24-2016 07:53 PM

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