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25561Re: Divisibility of the Sum of Two Prime Terms of Arithmeticlal Progressio ns

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  • djbroadhurst
    Jun 23, 2014
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      Bill Sindelar claimed that:

      > If an even positive integer N is not divisible by 4 and not
      > divisible by 6, then it is not divisible by any twin prime
      > middle number, and it is always equal to the sum of 2 twins,
      > both being either small or large twins.

      This is clearly false. The known counterexamples
      2, 94, 98, 514, 518, 1114, 1118, 1354, 1358
      are a subset of
      https://oeis.org/A007534
      which Zwillinger conjectured to be complete in 1979:
      http://dx.doi.org/10.1090/S0025-5718-1979-0528060-5

      David
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