Prime numbers hang like beads on a necklace (except that would be cosh …) on this quadratic.

# Tag: numbers

A model for counting and the natural numbers.

https://www.desmos.com/calculator/powhaqmvvp

The animation shows that numbers on the **x-axis, ** can be matched with numbers on the** interval -1<x<1** in such a away that:

1. every x on the x-axis is matched with a different number in the interval -1<x<1,

and

2. all the numbers in -1<x<1 are used

hence, we can see that there must be the same number of numbers on the x-axis as there are on the interval -1<x<1.

These numbers sets have the same *Cardinality*.