06-24-2016, 07:53 PM
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
cheers
Ivan
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
cheers
Ivan