# Approximating 1 from below using $n$ Egyptian fractions

Source: [Approximating 1 from below using $n$ Egyptian fractions](<https://www.sota2.com/research/paper/68fa4cef1e209131ce950678>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T09:02:25.596Z

Authors: K. Soundararajan

Published: 2005-02-11T21:00:19.000Z

## Abstract

We find the closest approximation to 1 from below using a sum of $n$ Egyptian fractions.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/math/0502247>)

[PDF](<https://arxiv.org/pdf/math/0502247.pdf>)