Apéry's constant (calculated with Twitter) - Numberphile

Patreon: http://www.patreon.com/numberphile More links & stuff in full description below ↓↓↓ Tony Padilla is an associate professor of physics at the University of Nottingham. Here he...

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TONY: I've got another constant for you Brady.It's Apéry's constant.One point two oh two oh five six nine ...We could go on.What is this really? This is actually - what I'm writing down here -is really 1 + 1 over 2 cubed + 1 over 3 cubed ...This sum actually appears in quantum electrodynamics.It's related to the anomalous magnetic moment of the electron, which is one of the great tests of QED.This number appears in that so it has physical relevance,but that's not really why we're going to talk about it today.The reason I want to talk about it is because it's -It's a crazy number in many waysand not a lot was known about it for a very long time, and it's still not known about.This goes back ...