Loading ...
Sorry, an error occurred while loading the content.

15547Re: [PrimeNumbers] Extension of Cunningham chains

Expand Messages
  • mikeoakes2@aol.com
    Nov 13, 2004
      Jack wrote:-
      >>Can anybody find any longer such chains each with an equal number
      >>of divisors, either with 4, 8, or some other number?

      I wrote:
      >With 3 divisors, each must be the square of a prime, of course.
      >Are there any such chains of length > 1? (I haven't searched.)

      In fact, there are chains of length 2, but no longer.
      The first few are:-
      2^2, 3^2
      5^2, 7^2
      29^2, 41^2
      The proof is relatively straightforward.

      -Mike Oakes

      [Non-text portions of this message have been removed]
    • Show all 6 messages in this topic