Explore patterns in Pascal's Triangle!

This page contains a larger version of the triangle (256 rows), for those with large monitors. If you are having trouble seeing the entire triangle on your screen, try the smaller version.

Here's something to investigate:

Look at the triangle using the divisors 3, 5, and 7.

Do you see a pattern? What do 3, 5, and 7 have in common?

Now try 9. Does the pattern continue?

Can you figure out what it is about 3, 5, and 7 that causes this pattern, and why it doesn't continue at 9? Does it continue with other numbers larger than 9?