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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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Formula for gaps between primes [closed]

The twin prime conjecture refers to: $$ \liminf_{n\to \infty}\; p_{n+1} - p_{n} = 2. $$ By reasoning I arrive at the following simple formula for gaps between primes: \begin{align} p_{ …
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