MathDB

6

Part of 1992 Baltic Way

Problems(1)

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

Source: Baltic Way 1992 #6

2/17/2009
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.
number theory proposednumber theory