Hilbert's Problem

Hilbert's problem, specifically the second one, is part of a list of 23 famous mathematical questions proposed by David Hilbert in 1900. This particular problem asks whether there are infinitely many rational solutions (fractions) to certain complex equations called Diophantine equations. In simpler terms, it questions if these equations have endlessly many solutions made up of whole numbers or fractions. Resolving this problem advances understanding of the solutions to polynomial equations and has deep implications across number theory and mathematics as a whole.