Difference between revisions of "Brun's constant"
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(Created page with "Brun's constant $B_2$ is the sum of the reciprocals of the pairs of twin primes, i.e. $$B_2 = \displaystyle\sum_{p,p+2 \mathrm{\hspace{2pt} prime}} \dfrac{1}{p}...") |
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Brun's constant $B_2$ is the sum of the reciprocals of the pairs of [[twin prime|twin primes]], i.e. | Brun's constant $B_2$ is the sum of the reciprocals of the pairs of [[twin prime|twin primes]], i.e. | ||
| − | $$B_2 = \displaystyle\sum_{p,p+2 \mathrm{\hspace{2pt} prime}} \dfrac{1}{p} + \dfrac{1}{p+2}.$$ | + | $$B_2 = \displaystyle\sum_{p,p+2 \mathrm{\hspace{2pt} prime}} \dfrac{1}{p} + \dfrac{1}{p+2}=1.9021605831\ldots.$$ |
Revision as of 20:05, 21 May 2015
Brun's constant $B_2$ is the sum of the reciprocals of the pairs of twin primes, i.e. $$B_2 = \displaystyle\sum_{p,p+2 \mathrm{\hspace{2pt} prime}} \dfrac{1}{p} + \dfrac{1}{p+2}=1.9021605831\ldots.$$
