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Text File  |  1992-07-30  |  1.1 KB  |  52 lines
  1. Newsgroups: sci.math
  2. Path: sparky!uunet!zaphod.mps.ohio-state.edu!rpi!batcomputer!munnari.oz.au!uniwa!ycchin
  3. From: ycchin@tartarus.uwa.edu.au (Chin Yih Chong)
  4. Subject: A puzzle! (Re)
  5. Message-ID: <1992Jul30.072300.13843@uniwa.uwa.edu.au>
  6. Summary: A puzzle!
  7. Keywords: A puzzle! (Re)
  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: Thu, 30 Jul 1992 07:23:00 GMT
  12. Lines: 38
  13.  
  14.  
  15. The series given by P.Nambi can be broken down as follow:
  16.  
  17.              4 = 2^2
  18.                72 = (2^3)*(3^2)
  19.             21600 = (2^5)*(3^3)*(5^2)
  20.             190512000 = (2^7)*(3^5)*(5^3)*(7^2)
  21.       580909190400000 = (2^11)*(3^7)*(5^5)*(7^3)*(11^2)
  22.  
  23. I reckoned that the general formula is 
  24.  
  25.                
  26.                        n
  27.                       ___
  28.                       | |
  29.                       | | p(i)^p(n+1-i)
  30.                       | |
  31.  
  32. where p(i) stands for the i-th prime number.
  33.  
  34.  
  35. so the next number in the list is 
  36.    
  37.           428616352408083840000000!    phew!
  38.  
  39. Have a nice time multiplying the next number in the row!
  40.  
  41.  
  42.     ^ ^
  43.       O O
  44.      ~
  45.      \_/
  46.     
  47.       Y.C.CHIN
  48.  
  49. Any mistake please email ycchin@tartarus.uwa.edu.au
  50.  
  51.  
  52.