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Season 2011

  • S2011E01 11.11.11

    • November 8, 2011
    • YouTube

    Numberphile video about number 11, marking the last binary day of a generation: 11.11.11. Exploring barcodes, check digits and CD technology. Filmed at the home ground of Nottingham Forest Football Club, The City Ground.

  • S2011E02 255 and Pac-Man

    • November 17, 2011
    • YouTube

    Explaining binary to understand why Pac-Man becomes unplayable after 255 levels.

  • S2011E03 16

    • November 23, 2011
    • YouTube

    We discuss the number 16 - a perfect square - and how sitting at table 16 led to something bigger for Matt Parker. In this video is Dr Ria Symonds from the University of Nottingham.

  • S2011E04 8128 and Perfect Numbers

    • November 28, 2011
    • YouTube

    For many years, 8128 was the largest known perfect number. But what is a perfect number?

  • S2011E05 6174

    • December 5, 2011
    • YouTube

    6174 is also known as Kaprekar's Constant.

  • S2011E06 69!

    • December 8, 2011
    • YouTube

    69 is the largest number that most hand-held calculators can factorialize!

  • S2011E07 220 and 284 (Amicable Numbers)

    • December 19, 2011
    • YouTube

    Why do 220 and 284 get along so well? Dr James Grime introduces us to the world of so-called amicable numbers.

  • S2011E08 15 bumfit

    • December 22, 2011
    • YouTube

    Numbers can be interesting when studied in different languages and dialects - such as in Lincolnshire where we have dik, figgit and bumfit.

Season 2012

Season 2013

  • S2013E01 158,962,555,217,826,360,000

    • January 10, 2013
    • YouTube

    The Nazi's Enigma Machine - and the mathematics behind it - was a crucial part of World War II.

  • S2013E02 Flaw in the Enigma Code

    • January 14, 2013
    • YouTube

    The flaw which allowed the Allies to break the Nazi Enigma code.

  • S2013E03 Number 1 and Benford's Law

    • January 20, 2013
    • YouTube

    Why number 1 is the "leading digit" more often than you may expect?

  • S2013E04 Brady's Videos and Benford's Law

    • January 21, 2013
    • YouTube

    Do the viewing figures on YouTube obey Benford's Law?

  • S2013E05 Numbers and Brains

    • January 26, 2013
    • YouTube

    Your brain seems to treat numbers and words very differently (even if the number is written as a word!). So says cognitive neuropsychologist Brian Butterworth.

  • S2013E06 End of Time (Unix)

    • January 29, 2013
    • YouTube

    Time will "end" for 32-bit computers on 19 January, 2038.

  • S2013E07 The Most Favourite Number

    • February 1, 2013
    • YouTube

    What number is the "most favourite"? We analyse your comments.

  • S2013E08 Dragon Curve

    • February 5, 2013
    • YouTube

    Beautiful Dragon Curves, Fractals and Jurassic Park. Featuring Rob Eastaway.

  • S2013E09 New Largest Known Prime Number

    • February 7, 2013
    • YouTube

    There is a new "largest known prime number".

  • S2013E10 Anatomy of a Goal

    • February 12, 2013
    • YouTube

    A numerical look at a World Cup winning goal. With thanks to the stats gurus at Opta

  • S2013E11 Zequals and Estimation

    • February 14, 2013
    • YouTube

    Rob Eastaway on his "zequals" estimation method - ruthless rounding!

  • S2013E12 Meet James Grime

    • February 14, 2013
    • YouTube

    Chatting with Numberphile regular, Dr James Grime. Some links below from the discussion...

  • S2013E13 Pi and the size of the Universe

    • February 20, 2013
    • YouTube

    Pi is famously calculated to trillions of digits - but Dr James Grime says 39 is probably enough

  • S2013E14 Synesthesia

    • February 22, 2013
    • YouTube

    Talking about Grapheme to Colour Synesthesia with Alex from Bite Sci-Zed

  • S2013E15 Dragon Curve to Music

    • February 25, 2013
    • YouTube

    An animated Dragon Curve by Pierre Bernard and music by Alan Stewart.

  • S2013E16 The problem in Good Will Hunting

    • March 4, 2013
    • YouTube

    Just how hard was the second problem cracked by Will in Good Will Hunting? Matt Damon! And who doesn't love Homeomorphically Irreducible Trees?

  • S2013E17 Who was the REAL Good Will Hunting?

    • March 8, 2013
    • YouTube

    George Dantzig, William Sidis, Srinivasa Ramanujan? Who was the real Good Will Hunting?

  • S2013E18 Calculating Pi with Real Pies

    • March 11, 2013
    • YouTube

    How accurately can we calculate Pi using hundreds of REAL pies?

  • S2013E19 How Pi was nearly changed to 3.2

    • March 12, 2013
    • YouTube

    The State of Indiana nearly passed a law which would have made Pi equal 3.2 - strange but true.

  • S2013E20 Pi with Pies (director's slice)

    • March 14, 2013
    • YouTube

    A 6'28" version of our "Pi with Pies" calculation. While the pies are usually delicious, this batch was not for consumption (even by hungry students, for those who suggested it!) but we feel they were used in a fun way to make people think about mathematics - perhaps some people who would not otherwise take an interest... To mark Pi Day we instead donated £314 to a local charity which helps feed people in crisis.

  • S2013E21 Problems with French Numbers

    • March 19, 2013
    • YouTube

    French numbers can pose problems for non-native speaker - especially when you move beyond 70. Also discussing problems with phone numbers and commas! Featuring Dr Paul Smith from the University of Nottingham.

  • S2013E22 19 out of 20

    • March 19, 2013
    • YouTube

    In French culture, it is traditional for all grades to be out of 20 - and many teachers will NEVER give full marks! Featuring Dr Paul Smith, from the School of Modern Languages and Cultures at the University of Nottingham.

  • S2013E23 Statistics on Match Day

    • March 21, 2013
    • YouTube

    As promised, we join the Opta team harvesting data from football/soccer matches on match day.

  • S2013E24 Squaring the Circle

    • March 25, 2013
    • YouTube

    Why was squaring the circle - the old-fashioned way - found to be impossible?

  • S2013E25 Safe Cracking

    • March 27, 2013
    • YouTube

    A chat about some of the ways legendary physicist Richard Feynman cracked safes (filing cabinets) at Los Alamos during the Manhattan Project. Discussed by Professor Roger Bowley.

  • S2013E26 Fibonacci Tartan and Bagpipes

    • April 4, 2013
    • YouTube

  • S2013E27 Zeno's Paradox

    • April 7, 2013
    • YouTube

    Dr James Grime is back and talking about tortoises.

  • S2013E28 Random Numbers

    • April 10, 2013
    • YouTube

    Using radioactive material to generate random numbers...

  • S2013E29 Infinite Primes

    • April 23, 2013
    • YouTube

    How do we know there are an infinite number of primes? Dr James Grime explains, with a bit of help from Euclid.

  • SPECIAL 0x4 Random Numbers (the next bit)

    • April 9, 2013
    • YouTube

    Okay, here is a little bit where James Clewett went off on a tangent!

  • S2013E30 Numberphile in Nepal

    • May 8, 2013
    • YouTube

    Just a quick one from Brady after his return from Nepal.

  • S2013E31 Illegal Numbers

    • May 13, 2013
    • YouTube

  • S2013E32 Maths Jokes Explained

    • May 20, 2013
    • YouTube

    Some of your favourite maths jokes are dissected in forensic fashion.

  • S2013E33 Base Number Jokes Explained

    • May 20, 2013
    • YouTube

    Not all jokes are in base 10...

  • S2013E34 Why 381,654,729 is awesome

    • May 21, 2013
    • YouTube

    Discussing pandigital numbers with Dr James Grime (and a special guest).

  • S2013E35 Googol Song

    • May 22, 2013
    • YouTube

    Singing a googol - but what about a googolplex? (contains some bleeped swearing) Featuring Helen Arney (http://helenarney.com/) and Matt Parker

  • S2013E36 Gaps between Primes

    • May 27, 2013
    • YouTube

    An exciting paper about gaps between prime numbers - a step closer to proving the twin prime conjecture.

  • S2013E37 What colour is 27?

    • May 29, 2013
    • YouTube

    More on number/color synesthesia, including your questions for with Alex Dainis.

  • SPECIAL 0x5 Gaps between Primes (extra footage)

    • May 27, 2013
    • YouTube

    Extra footage.

  • S2013E38 Number Trick

    • June 2, 2013
    • YouTube

    Just a quick number trick with Dr James Grime.

  • S2013E39 Mathematical Music

    • June 4, 2013
    • YouTube

    Alan Stewart makes music for many of Brady's videos, including here on Numberphile. In this video he explains some of his compositions.

  • S2013E40 Zero Factorial

    • June 8, 2013
    • YouTube

    0! = 1 Dr James Grime tries to explain why this is the case

  • S2013E41 Transcendental Numbers

    • June 12, 2013
    • YouTube

    Numbers like e and Pi cannot be made using normal algebra. Featuring Australia's Numeracy Ambassador, Simon Pampena.

  • S2013E42 Is it Math or Maths?

    • June 19, 2013
    • YouTube

    An emotional subject for some - we ask a linguist about Math (US-style) and Maths (British-style).

  • SPECIAL 0x6 Transcendental Numbers (extra footage)

    • June 13, 2013
    • YouTube

    This is some extra stuff from Simon Pampena we didn't use in the first video!

  • S2013E43 Cicada 17

    • June 22, 2013
    • YouTube

    Why do cicadas emerge every 17 years - featuring Steve Mould.

  • S2013E44 One minus one plus one minus one

    • June 25, 2013
    • YouTube

    Discussing the brain-bending Grandi's Series and Thomson's Lamp - featuring Dr James Grime.

  • S2013E45 Prime Spirals

    • July 9, 2013
    • YouTube

    Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime.

  • S2013E46 41 and more Ulam's Spiral

    • July 10, 2013
    • YouTube

    More on prime numbers and Ulam's Spiral - this time focusing on 41 and Arthur C. Clarke.

  • S2013E47 Infinity Paradoxes

    • July 15, 2013
    • YouTube

    Infinity can throw up some interesting paradoxes, from filling Hilbert's Hotel to painting Gabriel's Trumpet... Mark Jago is a philosophy lecturer with a background in computer science. The money game is known as St. Petersburg Paradox - it is quite famous!

  • S2013E48 Awesome Prime Number Constant

    • July 18, 2013
    • YouTube

    Have you ever heard of Mills' Constant? Several people have pointed out the n=4 prime is 2521008887 (we missed an 8)

  • S2013E49 Six Sequences

    • July 22, 2013
    • YouTube

    Which of these number sequences do you like best?

  • S2013E50 British Numbers confuse Americans

    • July 25, 2013
    • YouTube

    Two Americans living in England discuss the numeric nuances which cause them problems.

  • S2013E51 Number Line

    • July 30, 2013
    • YouTube

    How do you measure with numbers if they have no size?

  • S2013E52 Point about Points

    • August 1, 2013
    • YouTube

    This video features Simon Pampena, Australia's numeracy ambassador.

  • S2013E53 Primes are like Weeds (PNT)

    • August 13, 2013
    • YouTube

    The Prime Number Theorem shows that primes are like weeds, popping up everywhere! Dr James Grime explains

  • S2013E54 Can Fish Count

    • August 27, 2013
    • YouTube

    More on numerosity and number cognition with Brian Butterworth - this time discussing research with animals.

  • S2013E55 Phone Buttons

    • August 29, 2013
    • YouTube

  • S2013E56 Log Tables

    • September 5, 2013
    • YouTube

  • S2013E57 WARNING: Contains Numbers

    • September 15, 2013
    • YouTube

  • S2013E58 Fibonacci Mystery

    • September 18, 2013
    • YouTube

  • S2013E59 Fermat's Last Theorem

    • September 24, 2013
    • YouTube

  • S2013E60 Homer Simpson vs Pierre de Fermat

    • September 29, 2013
    • YouTube

  • S2013E61 Politics and Numbers

    • October 1, 2013
    • YouTube

  • S2013E62 Unboxing Calculators

    • October 6, 2013
    • YouTube

  • S2013E63 Sloane's Gap

    • October 15, 2013
    • YouTube

  • S2013E64 Cyclic Numbers

    • October 27, 2013
    • YouTube

  • S2013E65 Pi and Four Fingers

    • October 31, 2013
    • YouTube

  • S2013E66 Shapes and Solids of Constant Width

    • November 11, 2013
    • YouTube

    Steve Mould discusses shapes and solids of constant width, including the Reuleaux triangle and the UK's 50p coin.

  • S2013E67 87,539,319

    • November 27, 2013
    • YouTube

  • S2013E68 Connect Four

    • December 1, 2013
    • YouTube

  • S2013E69 10:10 in Watch Advertisements

    • December 3, 2013
    • YouTube

  • S2013E70 Pebbling a Chessboard

    • December 19, 2013
    • YouTube

  • S2013E71 More about Pebbling a Chessboard

    • December 20, 2013
    • YouTube

  • S2013E72 How did the NSA hack out emails?

    • December 22, 2013
    • YouTube

  • SPECIAL 0x7 NSA Surveillance (an extra bit)

    • December 23, 2013
    • YouTube

  • S2013E73 Casio Calculator Unboxing

    • December 26, 2013
    • YouTube

  • S2013E74 Calculator Watch Unboxing

    • December 26, 2013
    • YouTube

Season 2014

Season 2015

Season 2016

Season 2017

Season 2018

Season 2019

Season 2020

Season 2021

Season 2022

Season 2023

Season 2024

Additional Specials