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.

(In reply to answer by Dej Mar)

Dej,

1/2+1/4+1/5+1/21 = 419/420

1/2+1/3+1/7+1/43 = 1805/1806, which is closer to 1.

Posted by broll on 2012-11-25 12:36:31