User:Hoofay/sandbox

Hough's Number
Hough's number is named after mathematician Daniel Hough. The number has no known applications.

Definition
$$\sqrt{ \sqrt{ \sqrt{ \sqrt{ \frac{1}{ \sqrt{2} } }  +  \frac{1}{ \sqrt{3} }  }  +  \frac{1}{ \sqrt{5} }  } +  \frac{1}{ \sqrt{7} } + ... } $$

Approximation
Hough's number approximates to 1.4425