A Prime Surprise Mertens Conjecture Numberphile

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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:   / 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:    • Champaign Mathematician (with Holly K...   • The Riemann Hypothesis:    • Riemann Hypothesis - Numberphile   • 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/outr... • • And support from Math For America - https://www.mathforamerica.org/ • • NUMBERPHILE • Website: http://www.numberphile.com/ • Numberphile on Facebook:   / numberphile   • Numberphile tweets:   / numberphile   • Subscribe: http://bit.ly/Numberphile_Sub • • Videos by Brady Haran • Animation by Pete McPartlan • • Patreon:   / numberphile   • • Numberphile T-Shirts: https://teespring.com/stores/numberphile • • Brady's videos subreddit:   / bradyharan   • • Brady's latest videos across all channels: http://www.bradyharanblog.com/ • • Sign up for (occasional) emails: http://eepurl.com/YdjL9

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