Students will not be tested on their understanding of the material in this lesson.
Comparing Euclid’s and Euler’s Proofs
Earlier in this course we introduced Euclid’s proof that there are infinitely many primes. That proof didn’t give us any information about prime numbers, beyond the result (that there are infinitely many primes). Euler’s proof, which is more complex and is based on calculus, gives us more information about prime numbers.
The Riemann Zeta Function and Euler’s Proof
This video introduces Euler’s identity, defines the Riemann Zeta function, and provides a proof that there are infinitely many primes.
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