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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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Infinitely many primes coming from Euclid's proof
The following pages provides some basics about this topic, as well as some references that might be helpful: http://mathworld.wolfram.com/EuclidNumber.html and https://en.wikipedia.org/wiki/Euclid_num …