Part (i): Suppose p, p+2 and p+4 are prime numbers. Show that p=3
Part (ii); Suppose that p, p+4, and p+8 are prime numbers. Show that p=3.
I feel like this is a pretty straightforward question but I am beyond lost.
For part (i) consider whether for any value of p one of p, p+2, and p+4 must be divisible by 3. The only multiple of 3 that is prime is 3, so either p, p+2, or p+4 must equal 3.
Same argument for part (ii).