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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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Pascal triangle and prime numbers
Looks like some people already came up with some better answers, so I'll just quickly mention that you may like solving problems on ProjectEuler.net as some of the problems are right up this way of th …