Abstract
It is always of interest when one finds a property that is true only of some given object, or some given class of objects. For example, if n > 1 is an integer, then (n − 1)! + 1 is divisible by n just when n is a prime number. In this article we look at some properties that are true only for the integer 2.
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Shailesh Shirali has been at Rishi Valley School, Andhra Pradesh (Krishnamurti Foundation India) since the 1980’s. He has a deep interest in teaching and writing about mathematics at the high school/post school levels, with particular emphasis on problem solving and on historical aspects of the subject. He has been involved in the Mathematics Olympiad movement at the national and international level for the past two decades. He is the author of several expository books and articles aimed at interested high school students.
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Shirali, S.A. Odd behaviour of the even integer 2. Reson 12, 57–66 (2007). https://doi.org/10.1007/s12045-007-0105-3
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DOI: https://doi.org/10.1007/s12045-007-0105-3