# Smooth numbers in short intervals

Source: [Smooth numbers in short intervals](<https://www.sota2.com/research/paper/68fa4ed81e209131ce95ea0a>)

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

Data updated: 2025-10-25T09:59:51.801Z

Authors: K. Soundararajan

Published: 2010-09-08T17:19:59.000Z

## Abstract

Assuming the Riemann hypothesis we demonstrate the existence of smooth numbers in certain short intervals.

## 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/1009.1591>)

[PDF](<https://arxiv.org/pdf/1009.1591.pdf>)