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Re: [PrimeNumbers] Another example of Matrix Factor Elements and Addition table

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  • Phil Carmody
    ... So it s a set { a_{i,j} : a_{i,j} = a_{1,j} + a_{i,1} if i 1 or j 1 } In that case, the whole thing becomes trivial. Sum { 2^{a_{i,1}} } * Sum {
    Message 1 of 2 , Dec 17, 2006
      --- Kermit Rose <kermit@...> wrote:
      > The fundamental Matrix Factor Elements are;
      > [0, 3, 6, 9, 14, 16, 17, 18, 19]
      >
      > The addition table is:
      >
      > 0 2 4 6 8 10 11
      > 2 4 6 8 10 12 13
      > 5 7 9 11 13 15 16
      > 8 10 12 14 16 18 19

      So it's a set { a_{i,j} : a_{i,j} = a_{1,j} + a_{i,1} if i>1 or j>1 }

      In that case, the whole thing becomes trivial.

      Sum { 2^{a_{i,1}} } * Sum { 2^{a_{1,j}} } = N

      So if N is prime, no such representation exists.

      Phil

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