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.

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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?

Credits and related links

Copyright (c) 1997 Jeremy Baer