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Prime numbers

  1. May 23, 2009 #1
    1. The problem statement, all variables and given/known data

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

    2. Relevant equations



    3. The attempt at a solution

    Any help with how to go about this would be appreciated, thanks.
     
  2. jcsd
  3. May 23, 2009 #2

    D H

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    You could just guess, of course. Guessing works quite well on this problem.
     
  4. May 23, 2009 #3

    Dick

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    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.
     
  5. May 23, 2009 #4
    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.
     
  6. May 23, 2009 #5

    HallsofIvy

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    d= 2 is simpler.
     
  7. May 23, 2009 #6

    Dick

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    But 2 isn't bigger than 2.
     
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