# Special number pairs

A number pair ($$m, n$$) is called special, if $$m$$ and $$n$$ are positive integers, $$m$$ and $$n$$ have the same prime divisors, and $$m+1$$ and $$n+1$$ have the same prime divisors too. For example ($$2, 8$$) is a special number pair.

is it true, that there are infinite many special number pairs?

×