Elementary Number Theory · Number
Primes and Unique Factorization
Every integer > 1 factors uniquely into primes — the FTA. Euclid’s proof of infinite primes is one of mathematics’ oldest and most elegant arguments.
WHAT STUDENTS WILL LEARN
✓Prove infinitely many primes exist
✓State and prove the Fundamental Theorem of Arithmetic
✓Apply sieve methods
✓Discuss distribution of primes and the prime number theorem
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