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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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Density of primes in sequences of the form $a^n+b$

Suppose that someone proves that there exist a sequence (if that is not already known) of the form $a^n+b$ where $a \in \mathbb N \setminus \{1\}$ and $b \in \mathbb Z$ which has an infinite number of …