Brun's constant

Revision as of 19:20, 24 June 2006 by ComplexZeta (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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.