The Prime Number Theorem, an introduction ← Number Theory

An introduction to the meaning and history of the prime number theorem - a fundamental result from analytic number theory.

Narrated by Cissy Jones
Artwork by Kim Parkhurst, Katrina de Dios and Olga Reukova
Written & Produced by Michael Harrison & Kimberly Hatch Harrison

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[EnthuGamerush]

This was *so helpful, * thank you so so much!

[CodeSolidJohn]

I think some others mentioned this, but you mention x/log(x) and 1/log(x) without specifying that log in this case is log_e, or in other words, ln, the natural log of n. Of course, one can look that up, but it would be nicer if the video had it.

[PunmasterSTP]

I think this video was a good prime-r, and I'd love to see more!

[ffhashimi]

I think this video is too brief to give a any good idea about Prime number theorem and it's crucial importance in number theory, Math and to the whole of science .
you didn't mentioned why Prime number are important? the irregular distribution of Primes in number line ? the answer which given by Prime number theorem to the distribution of the Primes, and the limit of this answer .
I like Socratica videos and they are very useful, but this one I am not sure about it .
any way thank you for the effort .

[ariellalee]

Great video, thank you! Your videos are very pretty!

[jonahansen]

Isn't there an error at 1:28 where the first n integers will have 1/ln(n) primes? Shouldn't it be n/ln(n)? What am I missing?

[EpicFrogzacula]

It's the natural log not the common log right?

[Nombrespremiers-info]

The prime numbers distribution is here:
accueil | loqiquedespremiers

[MwLegend]

I need the song :( Can someone help me?

[ekeebobs]

Although I absolutely adore your videos, this however is too short.