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Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.

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On primes of the form 2^n + k [duplicate]

For any odd number $k$, can we always find an $n$ so that $2^n > k$ and $2^n + k$ is a prime number? Any comment or remark is welcomed!
Danny Nguyen's user avatar