A Prime Surprise (Mertens Conjecture) - Numberphile

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Shared January 23, 2020

Dr Holly Krieger discusses Merterns' Conjecture.
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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/a...

More on Mertens Conjecture: http://mathworld.wolfram.com/MertensC...

Useful OEIS sequences:
https://oeis.org/A002321
https://oeis.org/A084237

Holly on the Numberphile Podcast: https://youtu.be/QmfQQzjpdpM

The Riemann Hypothesis: https://youtu.be/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).

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