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Euclid. Euclid's Elements. Translated by Thomas L. Heath, Green Lion Press, 2002.

  • Number Theory
    • Book VII: Definitions
    • Book VII, Proposition 34: Least common multiple of two numbers
    • Book IX, Proposition 20: Proof of infinite primes

Fermat's Last Theorem and Langlands Program

  1. Frey's counter-example is an elliptic curve which assumes positive integer solution to aᵖ + bᵖ = cᵖ for p > 2
  2. Then by the Taniyama-Shimura-Weil Conjecture, this gives rise to a modular form
  3. However, it is seen that it is not in fact, a modular form
  4. Reductio Ad Absurdum
  • Langlands Program is to further connect complex analysis with number theory
  • Riemann's Hypothesis relates prime numbers to solutions of zeta function

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