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Re: twin prime number

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  • jbrennen
    ... form ... Well, if pn = 61, then z = 13756564401909684622656803563109083750619892901 And neither z nor z-2 contains any twin prime factor. z = 96973 *
    Message 1 of 5 , Feb 3, 2006
      --- In primenumbers@yahoogroups.com, "leavemsg1" <leavemsg1@...>
      wrote:
      > If z= p1^2 * p2^2 * p3^2 * ... * pn^2 +1 (where p1, p2, p3, etc.
      form
      > the ordered prime number sequence 2, 3, 5, etc.), then either
      > z or z-2 must contain one and only one twin prime factor > pn.
      >
      > Can anyone find a counter-example? I check it up to pn= 89.
      >

      Well, if pn = 61,

      then z = 13756564401909684622656803563109083750619892901

      And neither z nor z-2 contains any twin prime factor.

      z = 96973 * 141859738297357868918738242223186698881337

      z - 2 = 223 * 1193 * 85738903 * 1146665184811 * 525956867082542470777


      Unless of course, your definition of "twin prime factor" is
      different than mine???
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