A Prime Surprise (Mertens Conjecture) - Numberphile

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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: ~hk439/
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PAPER: Disproof of the Mertens Conjecture: ~odlyzko/doc/

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The Riemann Hypothesis:

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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