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.

p,q,r = {3,7,43}
1/p + 1/q + 1/r ~= 0.49944629014396

p,q,r,t = {2,3,7,43}
1/p + 1/q + 1/r + 1/t ~= 0.999446290144

 

Edited on November 26, 2012, 10:05 am

Posted by Dej Mar on 2012-11-25 12:18:21