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16562Re: [PrimeNumbers] Infinite Number of Twin Primes

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  • Milton Brown
    May 5, 2005
      Perhaps a computer search would be better for you.

      Or, see the link http://primes.utm.edu/lists/small/1ktwins.txt

      (7!+59, 7!+61) = (5099, 5101) is a prime pair.

      Milton L. Brown


      > [Original Message]
      > From: D�cio Luiz Gazzoni Filho <decio@...>
      > To: <primenumbers@yahoogroups.com>
      > Date: 5/5/2005 4:14:35 PM
      > Subject: Re: [PrimeNumbers] Infinite Number of Twin Primes
      >
      > On Thursday 05 May 2005 19:49, you wrote:
      > > At 04:54 PM 5/5/2005, Milton Brown wrote:
      > > >This is the pattern: Start at the next factorial and add prior pairs of
      > > >twin primes,
      > > >until you obtain a pair of twin primes for that factorial.
      > >
      > > How do you know that will work (that you will always obtain a pair of
      twins
      > > for that factorial)?
      >
      > The answer is, he doesn't, because it won't work. This one didn't even
      need a
      > computer search; it fell to a search by hand. I would appreciate a third
      > check (I've already double-checked locally).
      >
      > Start from (3,5).
      >
      > 2!+3, 2!+5 adds (5,7). Values found until now: (3,5), (5,7).
      >
      > 3!+5, 3!+7 adds (11,13). 3!+11, 3!+13 adds (17,19).
      > Values found until now: (3,5), (5,7), (11,13), (17,19).
      >
      > 4!+5, 4!+7 adds (29,31). 4!+17, 4!+19 adds (41,43).
      > Values found until now: (3,5), (5,7), (11,13), (17,19), (29,31), (41,43).
      >
      > 5!+17, 5!+19 adds (137,139). 5!+29, 5!+31 adds (149,151). 5!+149, 5!+151
      adds
      > (269,271).
      > Values found until now: (3,5), (5,7), (11,13), (17,19), (29,31), (41,43),
      > (137,139), (149,151), (269,271).
      >
      > 6!+137, 6!+139 adds (857,859).
      > Values found until now: (3,5), (5,7), (11,13), (17,19), (29,31), (41,43),
      > (137,139), (149,151), (269,271), (857,859).
      >
      > Finally, 7! doesn't produce any values. And thus Milton's conjecture is
      > demolished, as about anything that he brainfarts on this list.
      >
      > D�cio
      >
      >
      > [Non-text portions of this message have been removed]
      >
      >
      >
      >
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