MathDB

6

Part of 2011 Canadian Open Math Challenge

Problems(1)

COMC 2011 Problem 6

Source:

11/4/2012
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?