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Show that n|a_n

Source: IMO Shortlist 1989, Problem 11, ILL 35

September 18, 2008
modular arithmeticnumber theorySummationNumber theoretic functionsIMO Shortlist

Problem Statement

Define sequence (an) (a_n) by \sum_{d|n} a_d \equal{} 2^n. Show that n∣an. n|a_n.
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