Number theory

Notes

• How do we know numbers like Pi are infinite rather than just incredibly long?

Links

• Visualizing the Infinite Beauty Of Pi And Other Numbers
• Why do prime numbers make these spirals? (2019)
• Johan Commelin - Main interest lies in algebraic geometry and algebraic number theory.
• Number theory learning seminar (2015)
• Algebra Number Theory book
• Does anyone “know” a proof of Fermat’s Last Theorem? (2019)
• ANTIC - Algebraic Number Theory In C.
• ‘Amazing’ Math Bridge Extended Beyond Fermat’s Last Theorem (2020) (HN)
• John Conway: Surreal Numbers - How playing games led to more numbers than anybody ever thought of
• Modular Forms (2020)
• MegaFavNumbers (Tweet)
• Lecture notes for Geometry, Algebra, and Number Theory
• Do we have negative prime numbers? (HN)
• Dave’s Short Course on Complex Numbers (2013) (HN)
• The Riemann zeta function and the prime number theorem (2021)
• Introduction to Analytic Number Theory Book Club (HN)
• Do Complex Numbers Exist? (2021)
• The Mysterious Math of Perfect Numbers (2021)
• Capturing Number Theory in Haskell (2021)
• Illegal Prime Numbers (HN)
• Proofs of the infinitude of primes
• Constructions in combinatorics via neural networks (2021)
• Analytic Number Theory Book Club Meeting Notes
• Essays on the Theory of Numbers by Richard Dedekind
• Surreal numbers (2014)
• How Many Numbers Exist? Infinity Proof Moves Math Closer to an Answer (2021) (HN)
• Some stuff I found interesting about number theory research (2021) (HN)
• Finding prime monomials (2021)
• The Trip to the Prime Number Theorem (2021)
• Constructively Complete Finite Sets (1988) (Tweet)
• How imaginary numbers were invented (2021) (Reddit) (HN)
• Why Euler’s Number Is Just the Best (2021)
• What is the square root of two? | The Fundamental Theorem of Galois Theory (2021) (Tweet)
• Mathematicians clear hurdle in quest to decode primes (2022) (HN)
• Mathematicians Prove 30-Year-Old André-Oort Conjecture (2022) (HN)
• Infinite series reveal the unity of mathematics (2022) (HN)
• Number Sets
• Complex Numbers in Rust (2022)
• Predicting Prime Numbers Using Cartesian Genetic Programming
• 1 Billion is Tiny in an Alternate Universe (Intro to p-adic Numbers)