Solving for Prime Numbers: Find p and d

[Fairy111]

Homework Statement

Find a number p and an integer d>2 such that p, p+d and p+2d are all prime.

Homework Equations

The Attempt at a Solution

Any help with how to go about this would be appreciated, thanks.

 

[D H]

You could just guess, of course. Guessing works quite well on this problem.

 

[Dick]

Just pick a value of d and check small values of p. You'll want to pick a value of d that's even. Do you see why? I suggest d=4.

 

[Fairy111]

yes, i see why d needs to be even. Cheers, il just try guesssing. Just didnt know if there was a more mathematical way that i was supposed to go about it.

 

[HallsofIvy]

Just pick a value of d and check small values of p. You'll want to pick a value of d that's even. Do you see why? I suggest d=4.

d= 2 is simpler.

 

[Dick]

d= 2 is simpler.

But 2 isn't bigger than 2.