functions or present an elementary proof of the Prime Number Theorem .

Investigate Fermat's Last Theorem (historical perspective) or Lagrange's Four-Square Theorem. 2. Paper Structure

Following standard mathematical guidelines, such as those from MIT or the Journal of Number Theory , your paper should include:

Choose a specific area from the book to serve as your paper's foundation:

Focus on the Law of Quadratic Reciprocity or its application in primality testing. Distribution of Primes: Analyze the

Explore the properties and applications of functions like the Euler totient ( ) or Möbius function (