# The solutions of the 3rd and 4th Clay Millennium problems

**Authors:** Konstantinos E. Kyritsis

arXiv: 1902.07265 · 2026-04-07

## TL;DR

This paper claims to present solutions to the third and fourth Clay Millennium problems, addressing major open questions in computational complexity and fluid dynamics.

## Contribution

It provides purported solutions to two of the Clay Millennium problems, which are among the most significant open problems in mathematics and theoretical computer science.

## Key findings

- Claims to solve the third Clay Millennium problem in computational complexity.
- Claims to solve the fourth Clay Millennium problem in classical fluid dynamics.

## Abstract

In this treatise I present the solutions of the third Clay Millennium problem in the computational complexity and the fourth Clay Millennium problem in classical fluid dynamics.

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Source: https://tomesphere.com/paper/1902.07265