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Algebra of Extended Ulam Spirals

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  • miltbrown@earthlink.net
    Extended Ulam Spiral with 71 at center: 87 86 85 84 83 88 75 74 73 82 89 76 71 72 81 90 77 78 79 80 91 92 93 94 95 B A -71- C D A: 4n^2-2n+71 gives 73, 83, ...
    Message 1 of 1 , Jul 23 9:13 AM
      Extended Ulam Spiral with 71 at center:

      87 86 85 84 83
      88 75 74 73 82
      89 76 71 72 81
      90 77 78 79 80
      91 92 93 94 95

      B A
      -71-
      C D

      A: 4n^2-2n+71 gives 73, 83, ...
      B: 4n^2+71 gives 75, 87, ...
      C: 4n^2+2n+71 gives 77, 91, ...
      D: 4n^2+4n+71 gives 79, 95, ...

      Prime Triple like 101, 103, and 107 are

      p, 4n^2-2n+p, 4n^2+2n+p with n=1 and p=101

      Milton L. Brown
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