Mathematical conjecture

A mathematical conjecture is an educated guess or hypothesis about a pattern or relationship observed in numbers or mathematical objects. It is based on evidence and intuition but has not yet been proven true or false through rigorous proof. Conjectures often inspire research and exploration, pushing the boundaries of mathematical knowledge. Once a conjecture is proven, it becomes a confirmed theorem; if disproven, it may be refined or replaced. Many famous results in mathematics started as conjectures, highlighting their importance in advancing understanding and discovery.