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Date: 2-1-2020
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Date: 17-11-2020
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Date: 7-3-2020
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Mertens' second theorem states that the asymptotic form of the harmonic series for the sum of reciprocal primes is given by
where is a prime, is a constant known as the Mertens constant, and is a Landau symbol.
REFERENCES:
Havil, J. Gamma: Exploring Euler's Constant. Princeton, NJ: Princeton University Press, p. 109, 2003.
Tenenbaum, G. and Mendes-France, M. The Prime Numbers and Their Distribution. Providence, RI: Amer. Math. Soc., p. 22, 2000.
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