The mystery of 0.577
The harmonic series and the elusive Euler–Mascheroni constant. Featuring Dr Tony Padilla.
Audible: http://www.audible.com/numberphile
Extra footage: https://youtu.be/eRGN8ThZfhU
Videos about -1/12: http://bit.ly/minus_twelfth
Tony at the LHC: https://youtu.be/sVYUqMRolaA (via Sixty Symbols, our physics channel)