42 is the new 33 - Numberphile
42 is the only remaining (eligible) number below 100 which has not been represented as the sum of three cubes... 33 was cracked by Andrew Booker from the University of Bristol.
More links & stuff in full description below ↓↓↓
The original 33 video: https://youtu.be/wymmCdLdPvM
The 74 cracked video: https://youtu.be/_-M_3oV75Lw
Casting out nines: https://youtu.be/FlndIiQa20o
Andrew Booker's webpage: http://www.bristol.ac.uk/maths/people/andrew-r-booker/overview.html
Some of the papers we referenced...
Undecidability in number theory: http://www-math.mit.edu/~poonen/papers/h10_notices.pdf
The density of zeros of forms for which weak approximation fails: http://eprints.maths.ox.ac.uk/156/
Solutions of the Diophantine Equation: x^3+y^3+z^3=k: https://doi.org/10.1112/jlms/s1-30.1.101
Solutions of the Diophantine Equation x^3 + y^3 = z^3 - d: https://www.jstor.org/stable/2003763
Newer sums of three cubes: https://arxiv.org/abs/1604.07746
Early write-up of Booker's work: https://people.maths.bris.ac.uk/~maarb/papers/cubesv1.pdf
Discuss this video on reddit: https://redd.it/b0ax2o
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/
And support from Math For America - https://www.mathforamerica.org/
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: http://www.patreon.com/numberphile
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Видео 42 is the new 33 - Numberphile канала Numberphile
More links & stuff in full description below ↓↓↓
The original 33 video: https://youtu.be/wymmCdLdPvM
The 74 cracked video: https://youtu.be/_-M_3oV75Lw
Casting out nines: https://youtu.be/FlndIiQa20o
Andrew Booker's webpage: http://www.bristol.ac.uk/maths/people/andrew-r-booker/overview.html
Some of the papers we referenced...
Undecidability in number theory: http://www-math.mit.edu/~poonen/papers/h10_notices.pdf
The density of zeros of forms for which weak approximation fails: http://eprints.maths.ox.ac.uk/156/
Solutions of the Diophantine Equation: x^3+y^3+z^3=k: https://doi.org/10.1112/jlms/s1-30.1.101
Solutions of the Diophantine Equation x^3 + y^3 = z^3 - d: https://www.jstor.org/stable/2003763
Newer sums of three cubes: https://arxiv.org/abs/1604.07746
Early write-up of Booker's work: https://people.maths.bris.ac.uk/~maarb/papers/cubesv1.pdf
Discuss this video on reddit: https://redd.it/b0ax2o
Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile
We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. https://www.simonsfoundation.org/outreach/science-sandbox/
And support from Math For America - https://www.mathforamerica.org/
NUMBERPHILE
Website: http://www.numberphile.com/
Numberphile on Facebook: http://www.facebook.com/numberphile
Numberphile tweets: https://twitter.com/numberphile
Subscribe: http://bit.ly/Numberphile_Sub
Videos by Brady Haran
Patreon: http://www.patreon.com/numberphile
Numberphile T-Shirts: https://teespring.com/stores/numberphile
Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/
Brady's latest videos across all channels: http://www.bradyharanblog.com/
Sign up for (occasional) emails: http://eepurl.com/YdjL9
Видео 42 is the new 33 - Numberphile канала Numberphile
Показать
Комментарии отсутствуют
Информация о видео
Другие видео канала
![A Miraculous Proof (Ptolemy's Theorem) - Numberphile](https://i.ytimg.com/vi/bJOuzqu3MUQ/default.jpg)
![Problems with Zero - Numberphile](https://i.ytimg.com/vi/BRRolKTlF6Q/default.jpg)
![Encryption and HUGE numbers - Numberphile](https://i.ytimg.com/vi/M7kEpw1tn50/default.jpg)
![That Viral Math Problem (Cheryl's Birthday) - Numberphile](https://i.ytimg.com/vi/emiMj8cCL5E/default.jpg)
![The Mystery of 42 is Solved - Numberphile](https://i.ytimg.com/vi/zyG8Vlw5aAw/default.jpg)
![The Dehn Invariant - Numberphile](https://i.ytimg.com/vi/eYfpSAxGakI/default.jpg)
![The Moving Sofa Problem - Numberphile](https://i.ytimg.com/vi/rXfKWIZQIo4/default.jpg)
![5040 and other Anti-Prime Numbers - Numberphile](https://i.ytimg.com/vi/2JM2oImb9Qg/default.jpg)
![Divisibility Tricks - Numberphile](https://i.ytimg.com/vi/yi-s-TTpLxY/default.jpg)
![One minus one plus one minus one - Numberphile](https://i.ytimg.com/vi/PCu_BNNI5x4/default.jpg)
![Why is this Puzzle Impossible? - Numberphile](https://i.ytimg.com/vi/YI1WqYKHi78/default.jpg)
![163 and Ramanujan Constant - Numberphile](https://i.ytimg.com/vi/DRxAVA6gYMM/default.jpg)
![3 as the sum of the 3 cubes - Numberphile](https://i.ytimg.com/vi/GXhzZAem7k0/default.jpg)
![58 and other Confusing Numbers - Numberphile](https://i.ytimg.com/vi/l4bmZ1gRqCc/default.jpg)
![Stable Marriage Problem - Numberphile](https://i.ytimg.com/vi/Qcv1IqHWAzg/default.jpg)
![The Golden Ratio (why it is so irrational) - Numberphile](https://i.ytimg.com/vi/sj8Sg8qnjOg/default.jpg)
![All the Numbers - Numberphile](https://i.ytimg.com/vi/5TkIe60y2GI/default.jpg)
![g-conjecture - Numberphile](https://i.ytimg.com/vi/4445Mbw8pYg/default.jpg)
![Four Dimensional Maths: Things to See and Hear in the Fourth Dimension - with Matt Parker](https://i.ytimg.com/vi/1wAaI_6b9JE/default.jpg)
![The Best Way to Pack Spheres - Numberphile](https://i.ytimg.com/vi/CROeIGfr3gs/default.jpg)