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Additive prime fun with 2,3 and 5.

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  • Mark Underwood
    The five numbers 3, 2*3^2, 2^2*3*5, 2^2*3^3 and 2^3*5^2 (3,18,60,108 and 200) have all 16 of their additive combinations prime: 11 17 47 53 131 137 167
    Message 1 of 3 , Nov 12, 2008
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      The five numbers 3, 2*3^2, 2^2*3*5, 2^2*3^3 and 2^3*5^2
      (3,18,60,108 and 200)
      have all 16 of their additive combinations prime:
      11 17 47 53 131 137 167 173 227
      233 263 269 347 353 383 389.

      Mark
    • Phil Carmody
      ... 2^5 = 32. ITYM All their _odd_ additive combinations. Phil
      Message 2 of 3 , Nov 12, 2008
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        --- On Thu, 11/13/08, Mark Underwood <mark.underwood@...> wrote:
        > The five numbers 3, 2*3^2, 2^2*3*5, 2^2*3^3 and 2^3*5^2
        > (3,18,60,108 and 200)
        > have all 16 of their additive combinations prime:
        > 11 17 47 53 131 137 167 173 227
        > 233 263 269 347 353 383 389.

        2^5 = 32. ITYM All their _odd_ additive combinations.

        Phil
      • Mark Underwood
        ... Yes there would indeed be 32 additive combinations with five numbers, but half of these would just be the negatives of the other half, so I go with 16. In
        Message 3 of 3 , Nov 13, 2008
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          --- In primenumbers@yahoogroups.com, Phil Carmody <thefatphil@...> wrote:
          >
          > --- On Thu, 11/13/08, Mark Underwood <mark.underwood@...> wrote:
          > > The five numbers 3, 2*3^2, 2^2*3*5, 2^2*3^3 and 2^3*5^2
          > > (3,18,60,108 and 200)
          > > have all 16 of their additive combinations prime:
          > > 11 17 47 53 131 137 167 173 227
          > > 233 263 269 347 353 383 389.
          >
          > 2^5 = 32. ITYM All their _odd_ additive combinations.
          >

          Yes there would indeed be 32 additive combinations with five numbers, but half of these
          would just be the negatives of the other half, so I go with 16. In this case, I keep the 200
          positive, and the other four: 3,18,60 and 108 go positive and negative.

          Mark
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