1723
This number is a prime.
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Proving the Riemann Hypothesis is equivalent to showing floor(H(n)+eH(n))*log(H(n)) ≥ σ(n), where H(n) = 1 + 1/2 + 1/3 + ... + 1/n, and
σ(n) is the sum of the divisors of n. For example, when
n = 17, the two sides differ by 23. [Caldwell]
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