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Answers
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4
Not especially famous, long-open problems which anyone can understand
17
Mathematicians whose works were criticized by contemporaries but became widely accepted later
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Upper bounds for the sum of primes <= n
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Why Mertens could not prove the prime number theorem?
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Integer dynamics hitting infinitely many primes
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A divergent series related to the number of divisors of of p-1
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Sum involving binomial coefficients
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Are sums of the inverses of prime siblings finite?
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How can an integer be factorized as n*m so that n^m has the highest value.
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Square and reversed integer
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Asymptotic bounds on $\pi^{-1}(x)$ (inverse prime counting function)