Curiosities Lessons

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

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

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?

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

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

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

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

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