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Private Notes
The Nazi's Enigma Machine - and the mathematics behind it - was a crucial part of World War II.
The flaw which allowed the Allies to break the Nazi Enigma code.
Why number 1 is the "leading digit" more often than you may expect?
Do the viewing figures on YouTube obey Benford's Law?
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.
Time will "end" for 32-bit computers on 19 January, 2038.
What number is the "most favourite"? We analyse your comments.
Beautiful Dragon Curves, Fractals and Jurassic Park. Featuring Rob Eastaway.
There is a new "largest known prime number".
A numerical look at a World Cup winning goal. With thanks to the stats gurus at Opta
Rob Eastaway on his "zequals" estimation method - ruthless rounding!
Chatting with Numberphile regular, Dr James Grime. Some links below from the discussion...
Pi is famously calculated to trillions of digits - but Dr James Grime says 39 is probably enough
Talking about Grapheme to Colour Synesthesia with Alex from Bite Sci-Zed
An animated Dragon Curve by Pierre Bernard and music by Alan Stewart.
Just how hard was the second problem cracked by Will in Good Will Hunting? Matt Damon!
And who doesn't love Homeomorphically Irreducible Trees?
George Dantzig, William Sidis, Srinivasa Ramanujan? Who was the real Good Will Hunting?
How accurately can we calculate Pi using hundreds of REAL pies?
The State of Indiana nearly passed a law which would have made Pi equal 3.2 - strange but true.
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.
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.
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.
As promised, we join the Opta team harvesting data from football/soccer matches on match day.
Why was squaring the circle - the old-fashioned way - found to be impossible?
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.
Dr James Grime is back and talking about tortoises.
Using radioactive material to generate random numbers...
How do we know there are an infinite number of primes?
Dr James Grime explains, with a bit of help from Euclid.
Just a quick one from Brady after his return from Nepal.
Some of your favourite maths jokes are dissected in forensic fashion.
Not all jokes are in base 10...
Discussing pandigital numbers with Dr James Grime (and a special guest).
Singing a googol - but what about a googolplex? (contains some bleeped swearing)
Featuring Helen Arney (http://helenarney.com/) and Matt Parker
An exciting paper about gaps between prime numbers - a step closer to proving the twin prime conjecture.
More on number/color synesthesia, including your questions for with Alex Dainis.
Just a quick number trick with Dr James Grime.
Alan Stewart makes music for many of Brady's videos, including here on Numberphile. In this video he explains some of his compositions.
0! = 1
Dr James Grime tries to explain why this is the case
Numbers like e and Pi cannot be made using normal algebra.
Featuring Australia's Numeracy Ambassador, Simon Pampena.
An emotional subject for some - we ask a linguist about Math (US-style) and Maths (British-style).
Why do cicadas emerge every 17 years - featuring Steve Mould.
Discussing the brain-bending Grandi's Series and Thomson's Lamp - featuring Dr James Grime.
Prime numbers, Ulam Spirals and other cool numbery stuff with Dr James Grime.
More on prime numbers and Ulam's Spiral - this time focusing on 41 and Arthur C. Clarke.
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!
Have you ever heard of Mills' Constant?
Several people have pointed out the n=4 prime is 2521008887 (we missed an 8)
Which of these number sequences do you like best?
Two Americans living in England discuss the numeric nuances which cause them problems.
How do you measure with numbers if they have no size?
This video features Simon Pampena, Australia's numeracy ambassador.
The Prime Number Theorem shows that primes are like weeds, popping up everywhere! Dr James Grime explains
More on numerosity and number cognition with Brian Butterworth - this time discussing research with animals.
Steve Mould discusses shapes and solids of constant width, including the Reuleaux triangle and the UK's 50p coin.
