MathDB
(k^3-1)/(k^3+1)

Source: Baltic Way 1992 #6

February 17, 2009
number theory proposednumber theory

Problem Statement

Prove that the product of the 99 numbers \frac{k^3\minus{}1}{k^3\plus{}1},k\equal{}2,3,\ldots,100 is greater than 2/3 2/3.