Hilbert’s 23 problems

In 1900, mathematician David Hilbert presented a list of 23 research problems at the International Mathematical Congress. These problems, intended to guide mathematical research in the 20th century, covered a wide range of topics, including number theory, algebra, and the foundations of mathematics.1

Many of these problems have since been solved, with each solution being a significant event in mathematics. Some remain unsolved, with the Riemann hypothesis being one of the most important. Hilbert's work also laid the groundwork for concepts like Hilbert space, which has proven crucial in fields such as functional analysis and quantum mechanics. Hilbert's goal of proving the consistency of mathematics was later shown to be unattainable by Kurt Gödel.12