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Getting closer (Posted on 2012-11-25) Difficulty: 3 of 5
Find three distinct positive integers p, q and r such that the value of expression 1/p+1/q+1/r will be less than 1/2 but as close to it as possible.

Find four distinct positive integers p, q, r and t such that the value of expression 1/p+1/q+1/r+1/t will be less than 1 but as close to it as possible.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.5000 (2 votes)

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Solution re: computer solution--correction | Comment 5 of 6 |
(In reply to computer solution by Charlie)

Line 320 should have been Rt=1//T, rather than Rt=R//T.  The error distorted the total.  The correct results should be:

 p  q   r  t               total
3  7  43        451//903        0.4994462901439645625
 2  3  7  43     1805//1806      0.9994462901439645625

 


  Posted by Charlie on 2012-11-25 12:59:39
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