The 15-Game - Numberphile

Numberphile · Beginner ·🛡️ AI Safety & Ethics ·5mo ago

Key Takeaways

Ben Sparks explores the hidden depths of the 15-Game

Original Description

Ben Sparks explores hidden depths of a seemingly simple game. More on Jane Street's AMP program at https://jane-st.co/Numberphile-AMP-2026 (sponsor) -- More links & stuff in full description below ↓↓↓ An extra snippet on Numberphile2: https://youtu.be/lz2POMYd4YM And a 4.5-minute longer version of this video can be watched by Patrons: https://www.patreon.com/posts/150089653 Ben Sparks own website (you can book him for talks and training, etc): https://www.bensparks.co.uk/ More Ben on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLDKmnxLg8477hrxY33LL6q The game can be played without the grid at https://15game.bensparks.co.uk/ and can be played with the magic square grid at https://15game.bensparks.co.uk/gameTTT.html Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Brady Haran and Pete McParlan (who did the stop motion!) Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9
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Playlist

Uploads from Numberphile · Numberphile · 0 of 60

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1 Numberphile Preview
Numberphile Preview
Numberphile
2 31 and Mersenne Primes - Numberphile
31 and Mersenne Primes - Numberphile
Numberphile
3 17 and Sudoku Clues - Numberphile
17 and Sudoku Clues - Numberphile
Numberphile
4 Root 2 - Numberphile
Root 2 - Numberphile
Numberphile
5 3/4 and Kleiber's Law - Numberphile
3/4 and Kleiber's Law - Numberphile
Numberphile
6 7 and Happy Numbers - Numberphile
7 and Happy Numbers - Numberphile
Numberphile
7 23 and Football Birthdays - Numberphile
23 and Football Birthdays - Numberphile
Numberphile
8 Googol and Googolplex - Numberphile
Googol and Googolplex - Numberphile
Numberphile
9 Special Magic Square - Numberphile
Special Magic Square - Numberphile
Numberphile
10 998,001 and its Mysterious Recurring Decimals - Numberphile
998,001 and its Mysterious Recurring Decimals - Numberphile
Numberphile
11 42 and Douglas Adams - Numberphile
42 and Douglas Adams - Numberphile
Numberphile
12 Pi and Bouncing Balls - Numberphile
Pi and Bouncing Balls - Numberphile
Numberphile
13 6,000,000 and Abel Prize - Numberphile
6,000,000 and Abel Prize - Numberphile
Numberphile
14 Sunflowers and Fibonacci - Numberphile
Sunflowers and Fibonacci - Numberphile
Numberphile
15 8848 - Numberphile
8848 - Numberphile
Numberphile
16 What is a lucky number? - Numberphile
What is a lucky number? - Numberphile
Numberphile
17 Base 60 (sexagesimal) - Numberphile
Base 60 (sexagesimal) - Numberphile
Numberphile
18 How big is a billion? - Numberphile
How big is a billion? - Numberphile
Numberphile
19 I washed my passport - Numberphile
I washed my passport - Numberphile
Numberphile
20 Golden Ratio - Making a Math Metal Anthem - Numberphile
Golden Ratio - Making a Math Metal Anthem - Numberphile
Numberphile
21 Golden Ratio Song - Numberphile
Golden Ratio Song - Numberphile
Numberphile
22 The LONGEST time - Numberphile
The LONGEST time - Numberphile
Numberphile
23 Dyscalculia - Numberphile
Dyscalculia - Numberphile
Numberphile
24 Problematic Sunflower - Numberphile
Problematic Sunflower - Numberphile
Numberphile
25 Batman Equation - Numberphile
Batman Equation - Numberphile
Numberphile
26 The Most Mathematical Flag - Numberphile
The Most Mathematical Flag - Numberphile
Numberphile
27 Did Usain Bolt REALLY run 100m in 9.63 seconds?
Did Usain Bolt REALLY run 100m in 9.63 seconds?
Numberphile
28 Brown Numbers - Numberphile
Brown Numbers - Numberphile
Numberphile
29 43,252,003,274,489,856,000 Rubik's Cube Combinations - Numberphile
43,252,003,274,489,856,000 Rubik's Cube Combinations - Numberphile
Numberphile
30 Amazing Old Calculator (Curta) - Numberphile
Amazing Old Calculator (Curta) - Numberphile
Numberphile
31 abc Conjecture - Numberphile
abc Conjecture - Numberphile
Numberphile
32 Message from Numberphile
Message from Numberphile
Numberphile
33 Keith Numbers - Numberphile
Keith Numbers - Numberphile
Numberphile
34 Tau of Phi - Numberphile
Tau of Phi - Numberphile
Numberphile
35 Encryption and HUGE numbers - Numberphile
Encryption and HUGE numbers - Numberphile
Numberphile
36 Kids get their money - Numberphile
Kids get their money - Numberphile
Numberphile
37 Number 1 and Benford's Law - Numberphile
Number 1 and Benford's Law - Numberphile
Numberphile
38 Brady's Videos and Benford's Law - Numberphile
Brady's Videos and Benford's Law - Numberphile
Numberphile
39 Anatomy of a Goal - Numberphile
Anatomy of a Goal - Numberphile
Numberphile
40 The problem in Good Will Hunting - Numberphile
The problem in Good Will Hunting - Numberphile
Numberphile
41 Calculating Pi with Real Pies - Numberphile
Calculating Pi with Real Pies - Numberphile
Numberphile
42 How Pi was nearly changed to 3.2 - Numberphile
How Pi was nearly changed to 3.2 - Numberphile
Numberphile
43 Pi with Pies (director's slice) - Numberphile
Pi with Pies (director's slice) - Numberphile
Numberphile
44 Problems with French Numbers - Numberphile
Problems with French Numbers - Numberphile
Numberphile
45 Statistics on Match Day - Numberphile
Statistics on Match Day - Numberphile
Numberphile
46 Squaring the Circle - Numberphile
Squaring the Circle - Numberphile
Numberphile
47 Math Jokes Explained - Numberphile
Math Jokes Explained - Numberphile
Numberphile
48 Base Number Jokes Explained - Numberphile
Base Number Jokes Explained - Numberphile
Numberphile
49 Gaps between Primes - Numberphile
Gaps between Primes - Numberphile
Numberphile
50 Mathematical Music - Numberphile Interview
Mathematical Music - Numberphile Interview
Numberphile
51 Is it Math or Maths? - Numberphile
Is it Math or Maths? - Numberphile
Numberphile
52 One minus one plus one minus one - Numberphile
One minus one plus one minus one - Numberphile
Numberphile
53 Infinity Paradoxes - Numberphile
Infinity Paradoxes - Numberphile
Numberphile
54 British Numbers confuse Americans - Numberphile
British Numbers confuse Americans - Numberphile
Numberphile
55 Can Fish Count? - Numberphile
Can Fish Count? - Numberphile
Numberphile
56 WARNING: Contains Numbers
WARNING: Contains Numbers
Numberphile
57 Fibonacci Mystery - Numberphile
Fibonacci Mystery - Numberphile
Numberphile
58 Fermat's Last Theorem - Numberphile
Fermat's Last Theorem - Numberphile
Numberphile
59 Politics and Numbers - Numberphile
Politics and Numbers - Numberphile
Numberphile
60 Sloane's Gap - Numberphile
Sloane's Gap - Numberphile
Numberphile

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