### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Latin Numbers

Can you create a Latin Square from multiples of a six digit number?

# Between a Square and a Cube

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

Given that $x$ and $y$ are positive whole numbers and $x^2 + 2 = y^3$, what possible values can $x$ take?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.