# Prime number

**THEOREM**
There are infinitely many primes.

Proof available

**THEOREM**
Any prime \(\ge 5\), is one more or one less than a multiple of six.

Proof available

**THEOREM**
The square of any prime \(\ge 5\) is one more than a multiple of twenty-four.

Proof available

**THEOREM**
2019^4 + 4^2019\) is not prime.

Proof available

## Proper subsets

## Proper supersets