The year 2015 marks the end of a remarkable 3 year long period of mathematical significance, the reason being that 2015 is the 3rd (and final) year in a row that is the product of 3 distinct primes.

\[2013 = 3\times11\times61 \\ 2014 = 2\times19\times53 \\ 2015 = 5\times13\times31\]

This isn't the first time this has happened, and it won't be the last! In what year will the next string of 3 consecutive years begin? In other words, if \(x,x+1,x+2\) are all the product of 3 distinct prime numbers, and \(x>2013\), what is the minimum value of \(x\)?

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