P=NP Problem

The P vs NP problem is a fundamental question in computer science and mathematics that asks whether every problem that can be quickly verified by a computer (NP) can also be quickly solved by a computer (P). In simpler terms, if we can easily check the answer to a complex problem, can we also find that answer just as easily? If P equals NP, many challenging problems could be solved efficiently, impacting fields like cryptography, optimization, and artificial intelligence. Currently, it remains unsolved, and proving whether P equals NP or not would have profound implications for technology and security.