: Mathematics: Erdős-Borwein constant

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Erdős-Borwein constant

The Erdős–Borwein constant is the sum of the reciprocals of the Mersenne numbers. It is named after Paul Erdős and Peter Borwein. By definition it is:
${\\displaystyle E=\\sum _{n=1}^{\\infty }{\ rac {1}{2^{n}-1}}\\approx 1.606695152415291763\\dots }$

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