Primes $p=2q-1$ followed by 2 times a prime number $q$

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This year is year $2017$ and it is a prime number. Next year is year $2018=2\cdot 1009$. $1009$ is also a prime number.

In general, is there a law about prime numbers followed by $2\cdot (\text{another prime number})$?

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Probably there are infinite many primes $p$, such that $2p-1$ is prime as well. The Bunyakovsky-conjecture would imply this. There is a great statistical evidence for this claim, but as far as I know, no proof.