Fait mathématique: 1751 is the 6^{th} central pentanomial coefficient.
Culture générale: 1751 is a number for which we're missing a fact (submit one to numbersapi at google mail!).
Date historique: October 16th is the day in 1975 that Rahima Banu, a two-year old girl from the village of Kuralia in Bangladesh, is the last known person to be infected with naturally occurring smallpox.