youtor.org
Infinitely Many Primes of the Form 4n3
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=_h3nyoP4TKg
For those familiar with Euclid's proof of the infinitude of prime numbers, this video will be a treat. All primes leave a residue of 1 or 3 modulo 4. With a slight modification of Euclid's proof, we can show that there exist infinitely many primes congruent to 3 modulo 4, which is what we do in this video. For showing that the other residue class mentioned has infinitely many primes too, we do not address it in this video because the proof typically uses an advanced idea called the first supplement to quadratic reciprocity. As a bonus, we challenge the audience to adapt the proof in the 5 mod 6 case. • Like, subscribe, and share! To find out more about us: • Visit https://existsforall.com to check out our services • Reach out on Twitter at @ExistsforallA • Copyright © Existsforall Academy Inc. All rights reserved.
#############################
New on site
