Find all ordered pairs $(p_{k},p_{k+1})$, where $p_k$ denotes the $k$-th prime, such that for every $m\ \in \mathbb{N}$ there exists $\alpha \in \mathbb{N}$ s.t. $\Omega(\alpha) = m$ so that $p_{k+1} + 1 = \alpha p_{k}$, where $\Omega(x)$ denotes total number of prime numbers in prime factorization of $x$.
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