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Prime 29 Curio

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  • Mark Underwood
    Here s a curio I just submitted to the Prime Pages: We look for a pair of numbers (m,n) each less than p=29 such that six simultaneous primes are generated:
    Message 1 of 1 , Mar 2, 2006
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      Here's a curio I just submitted to the Prime Pages:

      We look for a pair of numbers (m,n) each less than p=29 such that six
      simultaneous primes are generated:

      m*n + p^2
      m*n - p^2
      m*p + n^2
      m*p - n^2
      n*p + m^2
      n*p - m^2.

      It turns out there are three solutions for (m,n): (9,20), (11,18),
      (14,15). Notice that in all cases n+m = 29.

      Mark
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