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Post Closed as "Not suitable for this site" by abx, R.P., Andreas Blass, user1073, Tom De Medts
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Are there infinitely(in)finitely many primes $p$ such that $1+kp$ is a prime for some positive integer $k$ ?

Are there infinitely many primes $p$ such that $1+kp$ is a prime for some positive integer $k$ ?

Are there (in)finitely many primes $p$ such that $1+kp$ is a prime for some positive integer $k$ ?

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Are there (in)finitely many primes of this form?

Are there infinitely many primes $p$ such that $1+kp$ is a prime for some positive integer $k$ ?