Amazing Pi Formula - Prime Numbers and Multiples of 4

Explore a fascinating mathematical journey in this 23-minute video that unveils an extraordinary formula for pi involving prime numbers and multiples of 4. Delve into a step-by-step proof, beginning with the sum of an infinite geometric series and progressing through the infinite limit of a sum of powers. Examine the geometry of the problem using similar triangles and Pythagoras' Theorem to derive the Leibniz Formula for Pi. Culminate in the remarkable discovery that pi divided by four equals the product of each prime number divided by its closest multiple of 4. Follow along with clearly marked timestamps for each section of the proof, including Mini Result 1, Mini Result 2, the Leibniz Pi Formula, and the Final Proof. Gain insights from Isaac Wood, a Cambridge undergraduate, with guidance from Dr. Tom Crawford of the University of Oxford in this engaging mathematical exploration.

Amazing Pi Formula - Prime Numbers and Multiples of 4