Conjectures on Partitions of Integers as Summations of Primes

TL;DR

This paper proposes new conjectures related to expressing integers as sums of primes, extending the Goldbach conjecture, and discusses their implications in number theory.

Contribution

It introduces a novel class of conjectures generalizing the Goldbach conjecture on partitions of integers into prime sums.

Findings

Proposes new conjectures extending Goldbach's conjecture

Provides theoretical insights into prime partitions of integers

Suggests potential avenues for future research in additive number theory

Abstract

In this short note we present a class of conjectures on partitions of integers as summations of primes, which are extensions of Goldbach conjecture.