Mathematical Conjectures

Mathematical conjectures are educated guesses or hypotheses about patterns or relationships in numbers and structures, based on observed evidence. They are not proven yet but are believed to be true. Conjectures guide mathematicians to explore and understand fundamental principles, often leading to new discoveries. Some famous examples include the Goldbach conjecture and the Riemann Hypothesis. They challenge mathematicians to find proofs, and solving them can deepen our understanding of the mathematical universe. In essence, conjectures are open questions that inspire mathematical exploration and advancement.