The reciprocal sum of primitive nondeficient numbers

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.

12 pages

References in corpus (2)

• Estimating $\pi (x)$ and related functions under partial RH assumptions
• Explicit estimates for the distribution of numbers free of large prime factors

Cited by in corpus (2)

• The Erdos conjecture for primitive sets
• Must a primitive non-deficient number have a component not much larger than its radical?