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An Infinity of Primes

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Uploaded by on Feb 11, 2008

Prof Marcus du Sautoy on Euclids proof that there is an infinity of prime numbers

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  • I wouldn't want to miss out on such nuggets of wisdom as "time is the counting of the movements of things". Insightful.

    Space is the counting of the position of things, if you want to put it that way. Yet you seem perfectly prepared to accept the existence of spatial dimensions? Hmm.

  • Qualify your arguments! Troll. :3

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  • @iwan0t0smith

    I think Feynman is the guy who said that mathematics is to physics what masturbation is to sex! ;)

    But he also said that physics is like sex, in that it may give us some practical results, but that's not why we do it ;)

    Enjoy your studies in physics!

  • Nice 1 Marcus - not just the Euclid's proof clip from "Music of the Primes". I have been working on a load more maths videos (search "Proof of the prime number theorem")... 100s more (including bits like me playing my trumpet back to the clip where he plays trumpet on "Music of the Primes". Oh - and I wonder if he's changed his factorisation challenge number from 126619 (the question)=127*997 (the answer). He still used that one in his public lectures a few year's ago (same as in his book).

  • I agree that maths teachers do not do enough to show students just what a beautiful subject Maths is. I am doing Maths at A-Level, and hope to do it as part of a Joint Honours degree at uni, and a great deal of my enthusiasm is down to the man in this video, rather than my school teachers.

  • @iwan0t0smith You need to study maths more. The further you get into it, the more beautiful it gets. And it makes fundamental statements about reality. For example, it wasn't all that long ago that we didn't know if any mathematical statement could be proved or disproved.

    Now we know that there are logical questions that can never be answered with logic, and we can prove statements such as the continuum hypothesis are examples of these. So here, maths alone is deducing something about reality!

  • I must say I'm not inspired by maths.

    I'm studying Physics at university next year and I only see maths as a tool to help me solve physics problems (or similar)

    Unless it can be applied i see maths as a bit pointless

  • He is right about that, most math teachers do not excite their students enough about math

  • Thats pretty cool. I was wondering what the proof was.

  • I saw him the other day.

  • The primes are the atoms of the natural numbers, they are the indivisible units that make up all the other natural numbers; that's a fantastic discovery!

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