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Pairwise Relatively Prime Proof

  1. Jan 30, 2012 #1
    Hi, Can anyone help me how to prove that the two numbers 2^((n-2)/2) -1, 2^(2n) + 1 are relatively prime?
    Thanks.
     
  2. jcsd
  3. Jan 30, 2012 #2
    Hi, Naveenks,
    check the question again; if n is odd, the first number is not an integer.

    Besides, when n=18, the first number would be 2^8-1 = 255, and the second 2^36+1, and both are divisible by 17.
     
  4. Jan 30, 2012 #3
    Thanks Dodo...I got it that the two numbers are not relatively prime for all values of n...
     
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