Wrong, But Useful: Episode 71

In the 71st episode of Wrong, But Useful, we’re joined by @nookiedv, who is Anouk de Vos in real life. We discuss:

  • Number of the podcast: 1729, a fairly uninteresting number.
  • Sums of cubes updates:
    • 33
    • 42
    • 3 is also interesting as there are two solutions but it’s unknown if there are more (posed in 1953) - since recording, 3 has been found again!
  • The Collatz conjecture:
  • Numberblocks, Sumaze primary, and DragonBox
  • GeoGebra
  • Number of Core Maths students increased last year
  • Pitching core maths?
  • Reuben’s homework - Round three dice
  • Puzzle feedback: Gold star for Adam Atkinson who got 4/9 as P1’s win probability. I evaluated a double integral. Silver stars for our favourite listener in Carrom Downs, Australia, Sam Steele and @schwartzstack, who both gave the right answer for the wrong reasons (higher mean doesn’t mean more likely to win).
  • New Puzzle: (via @david_cobac You have a 10 by 10 square grid. A number from 1 to 100 is selected and the corresponding square is coloured. This is repeated 100 times. On average, how many squares do you expect to be not coloured in?


Colin is a Weymouth maths tutor, author of several Maths For Dummies books and A-level maths guides. He started Flying Colours Maths in 2008. He lives with an espresso pot and nothing to prove.


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I teach in my home in Abbotsbury Road, Weymouth.

It's a 15-minute walk from Weymouth station, and it's on bus routes 3, 8 and X53. On-road parking is available nearby.

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