The P vs NP problem

The P vs NP problem is a major unsolved question in computer science that asks whether problems whose solutions can be quickly checked (NP) can also be quickly solved (P). In simpler terms, it questions whether every problem for which we can easily verify an answer can also be easily solved in the first place. If P equals NP, it would mean that many complex problems—like optimizing routes or solving puzzles—could be solved quickly, revolutionizing fields like cryptography and logistics. Conversely, if they are different, it confirms that some problems might inherently resist quick solutions.