Passing condition

A number is said to be fine if the first 4 prime numbers i.e 2, 3, 5, or 7 are its only prime factors.

What is the 4000th fine number?

Details and Assumptions:

As an explicit example the first few fine numbers are 2, 3, 4, 5, 6,7, 8, 9, 10, 12.

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