Intro proof prime number theorem

[georgelaing]

I only recently discovered your
channel and am very glad to
have it! Having worked my way
through the Erdos "elementary"
proof of the PNT (twice!!), I was
impressed with how much value
you were able to pack into your
video. Thank you for providing
such essential content!!

[kentucky]

Dude, I must seriously thank you because I am writing a paper on prime numbers but I couldn't understand some key terms in PNT such as the Chebyshev functions however you explained everything in a concise and understandable way. I really like how you present math in a clean way and how you get straight to the point. I look forward to watching your other videos. Well Done for such a wonderful video! I hope you get more subscribers in the future

[anastasis]

Unfortunately, this is a massively under-appreceated channel! I just hope you don't stop producing such an exquisite content due to (yet) few subscribers :( Keep it up!!!

[manals]

Great video and proof! Is there a proof (anywhere) that shows psi 1 of x is equal to that really long integral?

[shuoyanpei]

Thanks so much, do you also have any rrcommended reference for further details? cheers :D

[hewhomustnotbenamed]

Me: Proof PNT to me please.
Randell: Here's some formul-
Me after reqognizing the formulas from a video on the Riemann Hypothesis: Hold on! I like to challenge myself, but I'm not a masochist.

[Artilllion]

Can I find proof from the end of the video published anywhere? It seems not so rigorous for that difficult problem

[kingmunch]

Where can find the proof for the integral part at the end?

[Heisenberg]

this paper helps me a lot in writing my paper on the survey of prime number theorem