Number Theory | Quadratic Residues: Definition and Examples

From King's Landing, we give the definition of a quadratic residue modulo n as well as a few examples.

[pirateray]

3:09 hahaha that's the best transition I've ever seen in an educational video

[michaelmurphy]

Great, now I'm never going to flipping forget what a Quadratic Residue is.

[aibdraco]

Thank you for your explanation! School is closed. And your number theory playlist is helping me to cover the syllabus. And helping to do homework. Thank you again! Stay healthy and safe !!!

[Abhisruta]

The best backflip transition...loved it.

[tixqu]

Lmao was not expecting the backflip from a maths teacher

[georgesadler]

Professor M. Penn, Thank you for a beautiful example and definition of Quadratic Residues in the world of Number Theory.

[gavinwang]

i actually yell out wtf when he did the transition haha

[sawvikdipto]

Thanks a lot for such an awesome explanation .
By the way, I was shocked to see that jump.

[imaginary]

Why do a and n gotta be relatively prime? What happens if they are? I don't see a reason why such numbers are forbidden...

[arielberico]

I am confused why some books include 4 as a quadratic residue mod 8

[Pashaman]

your video transition just squeezed a thumb from me, this is hilarious !

[tentimesten]

Sorry, but are 0, 2, 4, 6 (in addition to 3, 5, 7) quadratic non-residues modulo 8? Thank you!!

[Celesica]

Watching this in 1.5 speed and got surprised by the backflip, that was cool!

[sayanjitb]

What does solvability and unsolvability exactly imply here??

[yogendravishwakarma]

Very nice sir I understood everything thanks

[Horinius]

@Michael Penn
In the definition of quadratic residue, there's no condition on gcd(a, n) = 1

[kagayakuangel]

Don't stop watching before 3:17, amazing. My dude just did a BACKFLIP yo. Hahaha

[philkeyouz]

So if x^2=a mod p, (p-x)^2=a mod p, only need to calculate half of it

[siZeDcuBe]

LMAO WHERE DID THAT BACKFLIP COME FROM

[nishanth]

yeah I was looking for this backflip tutorial