Question

30. what the smallest prile luiver !
31.
If p. p + 2, p + 4 are prime numbers then p = ......
(A) 5
(B) 3
(C) 29​

Answer 1

Answer:

3

Step-by-step explanation:

Suppose p,p+2,p+4p,p+2,p+4 are prime numbers. Prove that p=3p=3 not using division algorithm. Hint: why can't p=5p=5or 7?

So I have done the two hints and in both cases I get a 9 in my set of numbers, 9 is not prime. But now my issue is how do I extend this idea to all other prime numbers except for p=3p=3? I don't know for sure that for every other prime greater than 3 that when 2 or 4 are added to it that I will get a composite number. I am thinking contradiction perhaps...