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Tag: Problem Solving

Solution of MMM#38

November 2nd, 2009, No Comments

MMM #38: Prove or disprove: The product of any four consecutive integers is always one less than a perfect square. Don’t assume the integers are all positive. Any four consecutive integers can be written as . The product of these numbers is Therefore the statement always true.

First Part Of MMM#37

July 24th, 2009, No Comments

Here is MMM#37 problem: Based on the introduction to spiral numbers presented in MMM #36, solve one (or both) of these problems: Come up with an algorithm that tells what number is at an arbitrary X, Y coordinate. Come up with an algorithm that tells the X, Y coordinates for an arbitrary positive integer. Solution [...]

General Spiral Numbers : MMM#37

July 22nd, 2009, 1 Comment

Here is MMM#37 problem: Based on the introduction to spiral numbers presented in MMM #36, solve one (or both) of these problems: Come up with an algorithm that tells what number is at an arbitrary X, Y coordinate. Come up with an algorithm that tells the X, Y coordinates for an arbitrary positive integer. Solution [...]

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