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