2020-01-23

[public] 625K views, 22.0K likes, 230 dislikes audio only

Numberphile

Dr Holly Krieger discusses Merterns' Conjecture.

Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor)

More links & stuff in full description below ↓↓↓

More videos with Holly (playlist): http://bit.ly/HollyKrieger

Dr Holly Krieger is the Corfield Lecturer at the University of Cambridge and a Fellow at Murray Edwards College: https://www.dpmms.cam.ac.uk/~hk439/

On Twitter: https://twitter.com/hollykrieger

PAPER: Disproof of the Mertens Conjecture: http://www.dtc.umn.edu/~odlyzko/doc/arch/mertens.disproof.pdf

More on Mertens Conjecture: http://mathworld.wolfram.com/MertensConjecture.html

Useful OEIS sequences:

https://oeis.org/A002321

https://oeis.org/A084237

Holly on the Numberphile Podcast: /youtube/video/QmfQQzjpdpM

The Riemann Hypothesis: /youtube/video/d6c6uIyieoo

Mathematical correction from Dr Krieger: The first counterexample to Mertens conjecture must happen for some number *no worse than* about 10^(10^40), but the actual expectation is that the first counterexample is around 10^(10^23).

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

Animation by Pete McPartlan

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