# A Conditional Explicit Result for the Prime Number Theorem in Short Intervals

## TL;DR

This paper provides an explicit bound for the prime number theorem in short intervals assuming the Riemann hypothesis, advancing understanding of prime distribution in small ranges.

## Contribution

It introduces a new explicit bound for primes in short intervals under the Riemann hypothesis, improving previous estimates.

## Key findings

- Explicit bound for primes in short intervals
- Assumption of Riemann hypothesis used
- Enhanced understanding of prime distribution

## Abstract

We furnish an explicit bound for the prime number theorem in short intervals on the assumption of the Riemann hypothesis.