Brun's constant

Revision as of 22:23, 24 June 2006 by Mysmartmouth (talk | contribs)

Brun's constant is the (possibly infinite) sum of reciprocals of the twin primes $\frac{1}{3}+\frac{1}{5}+\frac{1}{5}+\frac{1}{7}+\frac{1}{11}+\frac{1}{13}+\frac{1}{17}+\frac{1}{19}+\cdots$. It turns out that this sum is actually convergent. Brun's constant is equal to approximately $1.90216058$.

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