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?

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