P versus NP problem
A major unsolved problem in theoretical computer science concerning whether every problem whose solution can be quickly verified can also be quickly solved.
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Videos Mentioning P versus NP problem

Scott Aaronson: Quantum Computing | Lex Fridman Podcast #72
Lex Fridman
A major unsolved problem in theoretical computer science, asking whether every problem whose solution can be quickly verified can also be quickly found.

Richard Karp: Algorithms and Computational Complexity | Lex Fridman Podcast #111
Lex Fridman
A major unsolved problem in theoretical computer science concerning whether every problem whose solution can be quickly verified can also be quickly solved.

Cal Newport: Deep Work, Focus, Productivity, Email, and Social Media | Lex Fridman Podcast #166
Lex Fridman
A major unsolved problem in theoretical computer science, concerning whether every problem whose solution can be quickly verified can also be quickly solved; most complexity theorists believe P does not equal NP.

Stephen Wolfram: Fundamental Theory of Physics, Life, and the Universe | Lex Fridman Podcast #124
Lex Fridman
A major unsolved problem in theoretical computer science, asking whether every problem whose solution can be quickly verified (NP) can also be quickly solved (P).

Scott Aaronson on Computational Complexity Theory and Quantum Computers
Y Combinator
A major unsolved problem in computer science concerning whether every problem whose solution can be quickly verified can also be quickly solved.