MathDB
Log Floor

Source:

December 21, 2005
floor functionlogarithms

Problem Statement

For each real number x,x, let x\lfloor x\rfloor denote the greatest integer that does not exceed x.x. For how many positive integers nn is it true that n<1000n<1000 and that log2n\lfloor \log_2 n\rfloor is a positive even integer.