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COMC 2011 Problem 6

Source:

November 4, 2012

Problem Statement

Integers a, b, c, d, and e satisfy the following three properties: (i) 2≤a<b<c<d<e<1002 \le a < b <c <d <e <100 (ii)gcd⁡(a,e)=1 \gcd (a,e) = 1 (iii) a, b, c, d, e form a geometric sequence. What is the value of c?
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