Consider:

: collection of all positive integers.

:

is a prime number.

:

is an even number.

What can you say about the truth value of the following statement?

Reminder: prime means having only itself and $1$ as factors. For example, $2,3,$ and $5$ are the first three primes.

This statement is false, as shown by the example

$.$

This statement is false, as shown by the example

$.$

This statement is false, but not for any of the examples given here

This statement is false, as shown by the example

$.$

This statement is true.

This statement is false, as shown by the example

$.$