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Learn elementary number theory concepts through formal mathematical proof using the Lean theorem prover in this conference talk from the Simons Foundation's MPS Workshop on Lean. Explore fundamental algebraic and number-theoretic structures including rings, unique factorization domains, congruence relations, finite fields, and quadratic reciprocity while developing proficiency in formalizing mathematical proofs. Discover how to translate undergraduate-level number theory exercises into Lean code, utilizing the Mathlib library to construct rigorous mathematical arguments. Gain hands-on experience with formal verification techniques that bridge traditional mathematical reasoning with computer-assisted proof systems, preparing you for advanced collaborative projects in formalized mathematics such as the Fermat's Last Theorem and Prime Number Theorem initiatives.
