← Theoretical / proof-based

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In this program

Pythagorean triples
Primitive solutions
Sums of two squares (introduction)
Continued fractions (optional topic)
RSA and public-key cryptography from number-theoretic primitives
Introduction to algebraic number theory: Gaussian integers (optional)

Diophantine equations and cryptography

Continued fractions (optional topic)

Number theory · Theoretical / proof-based

Topic

Continued fractions (optional topic)

Practice by unit: Diophantine equations and cryptography

Undergraduate Number Theory — scope drawn from open number theory texts (e.g. Stein / Burton-style OER) and typical US elementary number theory syllabi.

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