Hello, lolcat!

1. Prove either true or false:

. .

This is not a rigorous proof . . .

Note the squares:

.

If is divisible by 3, then: .

We see that the only way that

. . is when both and are divisible by 3.

2. Prove that prime number can also be written as

If is odd,

. . then: .

is not a prime.

Hence, must be even,

Then: .