(2/14)(3/14)(4/14)(5/14)(6/14)(7/14)(8/14)(9/14... -

, each fraction is less than 1. The product rapidly approaches zero. At

The general term of the product can be expressed using factorial notation: (2/14)(3/14)(4/14)(5/14)(6/14)(7/14)(8/14)(9/14...

. We analyze the transition point where the sequence shifts from monotonic decay to rapid divergence and discuss the number-theoretic implications of the denominator's primality relative to the numerator's growth. 1. Introduction , each fraction is less than 1