Erdős-Borwein Constant

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$$E = \displaystyle\sum_{k=0}^{\infty} \dfrac{1}{2^k-1} = 1.606695152415291763\ldots$$ Note that the numbers in the denominator in this sum are the Mersenne numbers.

Properties[edit]

Erdős-Borwein Constant is irrational

References[edit]

Paul Erdős - On Arithmetical Properties of Lambert Series