### Latin Numbers

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

### Hypotenuse Lattice Points

The triangle OMN has vertices on the axes with whole number co-ordinates. How many points with whole number coordinates are there on the hypotenuse MN?

### Big Powers

Three people chose this as a favourite problem. It is the sort of problem that needs thinking time - but once the connection is made it gives access to many similar ideas.

# Integer and Integer

##### Age 14 to 16 Short Challenge Level:

For how many values of $n$ are both $n$ and $\frac{n+3}{n-1}$ integers?

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.
You can find more short problems, arranged by curriculum topic, in our short problems collection.