1666 AD resides in the 17th century. Unless the year ends in -00, you can add 1 to the first number if it is a three digit year and 1 to the first two numbers if it is a four digit year.
For example, 411 AD is in the 5th century. This is a 3 digit year so take the first number, (4) and add (1), 4+1=5th Century.
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The first century AD
The sixth century AD covers the years from 501 AD to 600 AD.
-99
Any year between 1501 AD and 1600 AD - including 1537 - is in the sixteenth century.
20th century.