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1617Re: [PrimeNumbers] What about perimetric prime sieve/generator = 2(2^(n-k)+2^k) )

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  • MICHAEL HARTLEY
    Jul 1, 2001
    • 0 Attachment
      To: Alan Powell <powella@...>
      Copies to: primenumbers@yahoogroups.com
      From: Bill Krys <billkrys@...>
      Date sent: Sat, 30 Jun 2001 06:16:28 -0700 (PDT)
      Subject: [PrimeNumbers] What about perimetric prime sieve/generator = 2(2^(n-k)+2^k) )

      > Dear Alan et al,
      >
      > can you find any for me that don't work for
      > e=2(2^(n-k)+2^k)?

      2*(2^(8-1)+2^1)-1 factor : 7
      2*(2^(8-1)+2^1)+1 factor : 3
      2*(2^(8-4)+2^4)-1 factor : 3
      2*(2^(8-4)+2^4)+1 factor : 5
      2*(2^(9-1)+2^1)-1 factor : 5
      2*(2^(9-1)+2^1)+1 factor : 11
      2*(2^(9-3)+2^3)-1 factor : 11
      2*(2^(9-3)+2^3)+1 factor : 5
      2*(2^(10-1)+2^1)-1 factor : 13
      2*(2^(10-1)+2^1)+1 factor : 3
      2*(2^(10-4)+2^4)-1 factor : 3
      2*(2^(10-4)+2^4)+1 factor : 7


      >
      > > At 03:07 AM 6/30/01, you wrote:
      > > >take a prime number (p), raise it to any power (n),
      > > >make a rectangle out of that number (with sides
      > > >p^(n-k) and p^k). Calculate the perimeter of that
      > > >rectangle. Add or subtract 1. At least one of these
      > > >will be a prime number ... I think. At any rate,
      > > all
      > > >the primes may be generated this way ... I think.
      > >
      > >
      >
      >
      > =====
      > Bill Krys
      > Email: billkrys@...
      > Toronto, Canada (currently: Beijing, China)
      >
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      Michael Hartley : Michael.Hartley@...
      Head, Department of Information Technology,
      Sepang Institute of Technology
      +---Q-u-o-t-a-b-l-e---Q-u-o-t-e----------------------------------
      "If you entertain a thought, it becomes an attitude..."
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