Difference between revisions of "Erdős-Borwein Constant"
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(Created page with "$$E = \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{2^k-1} = 1.606695152415291763\ldots$$ =Properties= <div class="toccolours mw-collapsible mw-collapsed"> <strong>Theorem:</str...") |
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$$E = \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{2^k-1} = 1.606695152415291763\ldots$$ | $$E = \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{2^k-1} = 1.606695152415291763\ldots$$ | ||
| + | Note that the numbers in the denominator in this sum are the [[Mersenne numbers]]. | ||
=Properties= | =Properties= | ||
Revision as of 16:50, 26 February 2015
$$E = \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{2^k-1} = 1.606695152415291763\ldots$$ Note that the numbers in the denominator in this sum are the Mersenne numbers.
Properties
Theorem: $E$ is irrational
Proof: █
