Difference between revisions of "Erdős-Borwein Constant"
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[http://www.renyi.hu/~p_erdos/1948-04.pdf Paul Erdős - On Arithmetical Properties of Lambert Series] | [http://www.renyi.hu/~p_erdos/1948-04.pdf Paul Erdős - On Arithmetical Properties of Lambert Series] | ||
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Revision as of 18:59, 24 May 2016
$$E = \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{2^k-1} = 1.606695152415291763\ldots$$ Note that the numbers in the denominator in this sum are the Mersenne numbers.
Properties
Theorem: $E$ is irrational
Proof: █
