Instructional Video34:15
3Blue1Brown

Olympiad level counting: How many subsets of {1,…,2000} have a sum divisible by 5?

12th - Higher Ed
Timestamps 0:00 - Puzzle statement and motivation 4:31 - Simpler example 6:51 - The generating function 11:52 - Evaluation tricks 17:24 - Roots of unity 26:31 - Recap and final trick 30:13 - Takeaways
Instructional Video22:10
3Blue1Brown

Visualizing the Riemann zeta function and analytic continuation

12th - Higher Ed
What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.
Instructional Video20:27
3Blue1Brown

Visualizing the Riemann hypothesis and analytic continuation

12th - Higher Ed
What is the Riemann zeta function? What is analytic continuation? This video lays out the complex analysis needed to answer these questions.
Instructional Video
Annenberg Foundation

Annenberg Learner: Mathematics Illuminated: The Primes

9th - 10th
A detailed look at the importance of prime numbers, not only in math, but also in science and in the field of cryptography. [28:27]