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SvennoJ said:


The 1900's run from 1900 to including 1999.
19th century goes from 1801 to including 1900

With this logic, the 1st century goes from 0001 to 0100 and here is the problem, you are missing the year 0000.
Yes, there is actually a year 0000, according to the original gregorian calendar this would be the year 1 BC but we're not using the original gregorian calendar anymore.

 

source:      https://en.wikipedia.org/wiki/ISO_8601#Dates

https://en.wikipedia.org/wiki/Gregorian_calendar#Proleptic_Gregorian_calendar

Last edited by MrWayne - on 22 April 2018