When Newton died, the British started the new year on March 25 (Lady Day). In 1752, the UK switched to starting the New Year on January 1. Dates between January 1 and March 25 prior to 1752 happened in different years Old Style vs. New Style.
This is all explained nicely at: httpsWikipedia://en.wikipedia.org/wiki/Old_Style_and_New_Style_dates Old Style and New Style dates
Added (thanks to @LangLangC for the excellent link): https://thonyc.wordpress.com/2015/03/20/calendrical-confusion-or-just-when-did-newton-die/Calendrical confusion or just when did Newton die?