An informal demonstration of the problem can be made from the list of Prime Ministers of Australia, of which there have been 27, in which Paul Keating, the 24th Prime Minister, and Edmund Barton, the first Prime Minister, share the same birthday, 18 January.
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The history of the problem is obscure, but W. W. Rouse Ball indicated (without citation) that it was first discussed by an "H. Davenport", possibly Harold Davenport.
Queen's Birthday Honours | The Birthday Massacre | Year 2000 problem | Waring's problem | The Final Problem | birthday | The Problem with Popplers | The Birthday Dragon | Ring 0: Birthday | Queen's Birthday | Hume and the Problem of Causation | Happy Birthday to You | Dirichlet problem | Boolean satisfiability problem | Washington's Birthday | The Dog Problem | The Bugs Bunny Birthday Blowout | Tammes problem | Species problem | Queen's Official Birthday | problem solving | Problem gambling | Packing problem | packing problem | Nelson Mandela 70th Birthday Tribute | King's Birthday Honours | His Majesty the King's 80th Birthday Anniversary, 5th December 2007 Sports Complex | Happy Birthday | chess problem | An ad in the newspaper for the movie When's Your Birthday? |