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  1. Newsgroups: sci.math
  2. Path: sparky!uunet!munnari.oz.au!uniwa!ycchin
  3. From: ycchin@tartarus.uwa.edu.au (Chin Yih Chong)
  4. Subject: Re:A puzzle!
  5. Message-ID: <1992Jul27.024344.9337@uniwa.uwa.edu.au>
  6. Summary: Re: A puzzle!
  7. Keywords: Re: A puzzle!
  8. Sender: news@uniwa.uwa.edu.au (USENET News System)
  9. Nntp-Posting-Host: tartarus.uwa.edu.au
  10. Organization: University of Western Australia
  11. Date: Mon, 27 Jul 1992 02:43:44 GMT
  12. Lines: 40
  13.  
  14.  
  15. Reply to the puzzle:
  16.  
  17.  
  18.  4  72  21600 ...
  19.  
  20.  
  21. Observation                  4 = 2^2
  22.                             72 = (2^3)*(3^2)
  23.                          21600 = (2^5)*(3^3)*(5^2)
  24.                     1905120000 = (2^7)*(3^5)*(5^3)*(7^2)
  25.                580909190400000 = (2^11)*(3^7)*(5^5)*(7^3)*(11^2)
  26.  
  27. I reckon that the general formalu is
  28.  
  29.        _n_
  30.        | |  
  31.        | | P(i)^P(n-i+1)
  32.        i=1
  33.  
  34. where P(n) stands for the nth prime number.
  35.  
  36. So, I supposed the next number to the list is
  37.  
  38.     428616352408083840000000  phew!
  39.  
  40. Hope this answer the question....
  41.  
  42.  
  43.     ^ ^
  44.     O O
  45.      ~
  46.     \_/
  47.  
  48.     Y.C.CHIN
  49.  
  50. Please email me if I have made any mistake!
  51. Address: ycchin@tartarus.uwa.edu.au
  52.  
  53.  
  54.