No video gets me more email from students! How few colors can you use to color in *any* map so that no two, neighboring regions are the same color?

Imagine a 3×3 square in which every row, column, *and* diagonal have the same sum. *That's* a magic square!

You could keep zooming in on this snowflake *forever!*

What if this triangle pattern just kept repeating… *forever!?*

Using this *one weird trick*, it seems that you can turn any number into a palindrome!

Pascal's pattern-packed triangle is a potent puzzle for pupils to ponder.

Why does the sum of the first 5 odds also equal 5 squared?

Prime numbers are unpredictable! How can we possibly find them all? An Ancient Greek mathematician found one way!

How can you cross each bridge in this city exactly once?

The Collatz Conjecture: start with any number and get to 1 using just two rules. It *seems* to always work…

In 1932, a leading authority on rattlesnakes, Laurence Klauber, discovered a startling pattern within a triangle of primes.

*Every* positive integer can be written as the sum of (at most) four perfect squares!

What if we make a huge spiral of numbers and then highlight only the primes? Well, a bunch of weird patterns show up!

Can *any* perfect square be written as the sum of two primes?

Can any even number be written as the sum of two primes? Goldbach thought so, but we haven't proven it… *yet!*

What do you call two prime numbers who are *very* close together?

It seems like there's always a prime number between two perfect squares... *but is this always the case!?*

So, can you write every odd (greater than 3) as the sum of three primes?

Can you make each side of this triangle add up to 9 using the digits 1-6?