# The Farey Sieve

## TL;DR

This paper introduces a simple method leveraging Farey sequences to efficiently generate various prime number sequences, offering a new approach to prime computation.

## Contribution

It presents an elementary Farey sieve method for computing prime sequences, providing a novel technique compared to existing algorithms.

## Key findings

- Efficient prime sequence generation demonstrated
- Farey sequences effectively identify primes
- Method simplifies prime computation processes

## Abstract

An elementary method for computing various prime sequences using the sequence of Farey sequences is described.