How *few* colors can you use to fill in a map so that no neighboring regions are the same color?

# All AboutMath Curiosities

## Goldbach’s Conjecture

Our look at math conjectures continues with Goldbach’s Conjecture, which states that all even integers greater than 2 can be written as the sum of two primes. Is this true for all cases? Another authentic, unsolved question.

## The Collatz Conjecture

A “conjecture” is an idea that is believed to be true, but has not yet been proven. They are authentic unanswered questions for students to explore. The Collatz Conjecture uses two simple rules to get from any number to 1. It seems to work for all numbers…

## Mathematical Curiosities

Sometimes you encounter that math student who is simply interested in numbers. Here are some famous (and not so famous) sets of numbers that have curious properties.