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Why do I need 17 significant digits (and not 16) to represent a double?

Can someone give me an example of a floating point number (double precision), that needs more than 16 significant decimal digits to represent it?

I have found in this thread that sometimes you need up to 17 digits, but I am not able to find an example of such a number (16 seems enough to me).

Can somebody clarify this?


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