# Primes in higher-order progressions on average

## TL;DR

This paper investigates the average distribution of primes within higher-order arithmetic progressions, providing new theorems that enhance understanding of prime patterns beyond linear sequences.

## Contribution

It introduces novel theorems on the average distribution of primes in higher-order progressions, extending classical results to more complex sequences.

## Key findings

- Proves new theorems on prime distribution in higher-order progressions
- Shows average-case behavior of primes in complex sequences
- Extends classical prime distribution results

## Abstract

In this paper, we establish some theorems on the distribution of primes in higher-order progressions on average.