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Number theory Difficulty 2.0 Junior Find the answer Canada

A positive integer larger than 2 is called composite if it is not prime. What is the smallest prime number that is the sum of three different composite numbers?

(A) $11$ (B) $13$ (C) $17$ (D) $19$ (E) $23$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.