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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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Congruential equidistribution, prime numbers, and Goldbach conjecture

If $S$ is congruentially equidistributed and contains enough elements .... is it true that $S+S$ contains all the positive integers except a finite number of them? Let $S=\bigcup_{n=1}^\infty \{2^{2 …
Alex Ravsky's user avatar
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2 votes

Square roots and prime numbers

GH from MO's answer suggests to study (odd) composite numbers $m$ such that $\sigma_2(m)−1$ is a square. Therefore $\sigma_2(m)$ is not divisible by $4$ and has no (prime) divisors equal $3$ modulo $4 …
Alex Ravsky's user avatar
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