The reciprocal sum of primitive nondeficient numbers

Jared D. Lichtman

doi:10.1016/j.jnt.2018.03.021

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arXiv · 1801.01925

The reciprocal sum of primitive nondeficient numbers

Jared D. Lichtman

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Abstract

We investigate the reciprocal sum of primitive nondeficient numbers, or pnds. In 1934, Erdos showed that the reciprocal sum of pnds converges, which he used to prove that the abundant numbers have a natural density. We show the reciprocal sum of pnds is between 0.348 and 0.380.

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Jared D. Lichtman. 2018-02-14. The reciprocal sum of primitive nondeficient numbers. https://doi.org/10.1016/j.jnt.2018.03.021

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