## Problem of the Day #428: The Jar of Numbers
*January 3, 2013*

*Posted by Saketh in : potd , trackback*

Owl has a jar of numbers. Any two numbers in the jar have a common divisor greater than one, yet the greatest common divisor of all the numbers is one. Furthermore, there does not exist any pair of numbers in the jar such that one divides the other.

Can you establish an upper bound on the number of numbers in the jar?

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