25/365 The 7 Millennium Prize Problems Can Make You a Millionaire! #Shorts #365daysofmath

The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US$1 million prize for the first correct solution to each problem.

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[antheamapa]

The P vs NP problem is one of the most important and famous unsolved problems in computer science and mathematics. It is a question about the power of efficient algorithms and the nature of computational complexity.

The problem can be stated as follows:

P is the class of decision problems that can be solved by a deterministic Turing machine in polynomial time. In other words, P is the class of problems that can be solved quickly and efficiently by a computer.
NP is the class of decision problems that can be solved by a non-deterministic Turing machine in polynomial time. In other words, NP is the class of problems for which a proposed solution can be quickly verified by a computer.
The P vs NP problem asks whether every problem in NP can also be solved in polynomial time by a deterministic Turing machine. In other words, is P equal to NP?

This problem is important because it has many practical implications for computer science and mathematics. If P were equal to NP, then many important problems in computer science, such as factoring large numbers and solving the traveling salesman problem, could be solved quickly and efficiently by a computer. This would have many applications in fields such as cryptography, optimization, and artificial intelligence.

However, despite much effort and progress, the P vs NP problem remains unsolved. It is widely believed that P is not equal to NP, which means that there are problems in NP that cannot be solved quickly and efficiently by a computer. This has important implications for the design of algorithms and the limits of computational power.

In summary, the P vs NP problem is a famous unsolved problem in computer science and mathematics that asks whether every problem in NP can be solved quickly and efficiently by a computer. The problem has many practical implications for computer science and mathematics, and it remains one of the most important and challenging problems in the field.

P VS NP PROBLEM:by me and dont ask how i did it lol