MathDB
Log Difference Range

Source: AIME 2009II Problem 11

April 2, 2009
logarithmsAMC

Problem Statement

For certain pairs (m,n) (m,n) of positive integers with m≥n m\ge n there are exactly 50 50 distinct positive integers k k such that |\log m \minus{} \log k| < \log n. Find the sum of all possible values of the product mn mn.
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