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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

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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