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Homework Help: Prove the number theory conjecture

  1. Jan 15, 2012 #1
    1. The problem statement, all variables and given/known data

    prove or disprove the following conjecture:

    If n is a positive integar, then n^2 - n +41 is a prime number

    2. Relevant equations

    no, just prove or disprove

    3. The attempt at a solution

    I think one possible answer may be there is no factorization for this except itself and 1.
    not like N^2-1 which can write as (n-1)(n+1)
  2. jcsd
  3. Jan 15, 2012 #2


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    Isn't there some value of n for which it's clearly not prime? Maybe n^2 - n +41 divisible by 41?
    Last edited: Jan 15, 2012
  4. Jan 15, 2012 #3
    If you think carefully plug in a value for which might be staring at you..... and factor.....
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