A few months ago, I gave a talk at the IMO in Bremen on “Structure and randomness in the prime numbers”. I have now converted the slides from that talk into a more traditional paper (7 pages in length), for submission to a Festschrift for the Bremen Olympiad. The content is much the same as the slides, but some references have been added.
Recent Comments
Google+ feed
- An error has occurred; the feed is probably down. Try again later.
The Polymath Blog
- Two polymath (of a sort) proposed projects 20 January, 2014
- Polymath9: P=NP? (The Discretized Borel Determinacy Approach) 4 November, 2013
- Polymath8 – A Success ! 20 September, 2013
- Polymath7 research thread 5: the hot spots conjecture 9 August, 2013
- Polymath proposal: bounded gaps between primes 4 June, 2013
- Polymath proposal (Tim Gowers): Randomized Parallel Sorting Algorithm 2 March, 2013
- Next Polymath Project(s): What, When, Where? 14 February, 2013
- Polymath7 research threads 4: the Hot Spots Conjecture 10 September, 2012
- Minipolymath4 project, second research thread 13 July, 2012
- Minipolymath4 project: IMO 2012 Q3 12 July, 2012
Mathematics in Australia
- Save pure mathematics at the VU University of Amsterdam 30 April, 2011
- ERA results for mathematical sciences in Australia 15 February, 2011
- Junior positions at ANU 8 November, 2010
- AustMS now on twitter 10 October, 2010
- Research not bad, but not stellar 9 May, 2010
- L’Oréal Australia For Women In Science Fellowships 11 April, 2010
- Postdoctoral position (Level A) in mathematics at Australian National University 18 January, 2010
- Cheryl Praeger named as 2009 Western Australian Scientist of the Year 2 December, 2009
- Positions at Australian National University 4 November, 2009
- Mathematics skills out for the count 26 October, 2009
9 comments
Comments feed for this article
14 September, 2009 at 11:26 am
Anonymous
Interesting! (There’s a typo in the third paragraph of the first section)
15 September, 2009 at 2:38 am
Manjil P. Saikia
Interesting, maybe the other talks like the one on Poincare Conjecture can also be made into such a format.
16 September, 2009 at 4:47 am
Thuris
Thank you for posting this. Although a non-mathematician, I found it very clear. (Which gives me hope to understand some of the other posts eventually!)
17 September, 2009 at 11:31 am
Hassan Mohy-ud-Din
Greetings Professor Terence Tao.
How be you? I am a PhD student at Johns Hopkins University. My request is that if you can kindly upload the videos of the talks/lectures along with the slides it will be very helpful and also make a tab of upcoming seminars/conferences/workshops. Thank You
Good Bye
17 September, 2009 at 8:09 pm
xi'an
Dear Terence, there is a typo in the references: de La Vallée Poussin’s book is “Recherches analytiques sur la théorie des nombres premiers”
Best regards,
Xi’an
30 September, 2009 at 8:27 am
zeynel
Yes, thank you for the slides. I enjoyed reading it as a non-mathematician. In your last slide you say that primes are *mostly* odd. Does this suggest that there may be even primes except 2?
30 September, 2009 at 1:47 pm
ARN
Zeynel , I think that was probably a joke. There can be no even primes > 2.
30 September, 2009 at 5:10 pm
links for 2009-09-30 « Blarney Fellow
[…] Structure and randomness in the prime numbers (IMO Festschrift submission) « What’s new (tags: random primes math complexity computation) […]
26 January, 2011 at 7:24 am
Tom Verhoeff
The grammar seems broken in the sentence containing “to not obey behave pseudorandomly”. You can delete “obey” to fix the grammar, but probably “not” should be deleted as well to fix the semantics. This is both on the slides and in the paper.
[Thanks! I think this was fixed in the published version of the text – T.]