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Re: primes of the form n^2 +1; infinitely many.

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  • mikeoakes2
    ... Statement (A.) implies only that there are infinitely many *integers* that are an even distance away from the already proven... Which is not a very
    Message 1 of 3 , Mar 31, 2010
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      --- In primenumbers@yahoogroups.com, "leavemsg1" <leavemsg1@...> wrote:
      >
      > (A.) n^2 +1 = [(n+m)^2 +(n-m)^2 +1] -[2*m^2 +n^2] where
      > 'n' is allowed to be an even natural number and 'm' is
      > an arbitrary natural number. Statement (A.) implies that
      > there infinitely many primes that are an even distance
      > away from the already proven Hardy and Wright n^2 +m^2
      > form but written here as (n+m)^2 +(n-m)^2. Thus, there
      > are infinitely many primes of the form n^2 +1.
      > QED

      Statement (A.) implies only that there are infinitely many *integers* that are an even distance away from the already proven...

      Which is not a very surprising result.

      Mike
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