Difference between revisions of "Brun's constant"
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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. | ||
$$B_2 = \displaystyle\sum_{p,p+2 \mathrm{\hspace{2pt} prime}} \dfrac{1}{p} + \dfrac{1}{p+2}=1.9021605831\ldots.$$ | $$B_2 = \displaystyle\sum_{p,p+2 \mathrm{\hspace{2pt} prime}} \dfrac{1}{p} + \dfrac{1}{p+2}=1.9021605831\ldots.$$ | ||
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| + | =References= | ||
| + | [http://www.ams.org/journals/mcom/1974-28-125/S0025-5718-1974-0352022-X/S0025-5718-1974-0352022-X.pdf Brun's constant] | ||
Revision as of 05:33, 19 June 2015
Brun's constant $B_2$ is the sum of the reciprocals of the pairs of twin primes, i.e. $$B_2 = \displaystyle\sum_{p,p+2 \mathrm{\hspace{2pt} prime}} \dfrac{1}{p} + \dfrac{1}{p+2}=1.9021605831\ldots.$$
