How many queens so every unthreatened vacant square traps a knight?

Question

How many queens does it take at minimum to occupy an empty chess board, so that whichever vacant and non-threatened square you put a knight on, the knight won't have a square to go to that is not threatened?

Prince North Læraðr · Accepted Answer

Reasoning:

More reasoning as to the number of queens:

How many queens so every unthreatened vacant square traps a knight?

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