# Difference between revisions of "Brun's constant"

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− | '''Brun's constant''' is the (possibly infinite) sum of [[reciprocal]]s of the [[twin prime]]s <math>\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</math>. It turns out that this sum is actually [[convergent]]. | + | '''Brun's constant''' is the (possibly infinite) sum of [[reciprocal]]s of the [[twin prime]]s <math>\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</math>. It turns out that this sum is actually [[convergent]]. Brun's constant is equal to approximately '''$1.90216058$'''. |

## Revision as of 22:23, 24 June 2006

**Brun's constant** is the (possibly infinite) sum of reciprocals of the twin primes . It turns out that this sum is actually convergent. Brun's constant is equal to approximately **$1.90216058$**.