Question

Find a counterexample for the statement.
If p is prime, then
p^2 + 4
is prime.
p =

Answer 1

Well, I mean the first ever prime, 2, disproves the statement.

Answer 2

But how would you write the p='s part

Answer 3

The problem is actually P two the second power + 4

Answer 4

all you do is pick a number sub it for p and if the answer isn't prime, you have a counter ex. Part pointed out, try p=2, does it work?

Answer 5

That worked thank you I'm not very good at Discrete Math

Answer 6

but note the variable p usually denotes a ____ so you have a restriction on which values you can use

Answer 7

For these, ask yourself, ok what is the question claiming? Does this seem reasonable? If I plug some numbers in, does it work?