The April Scientific American on the partition function p (n )—
"… in January, Ono and another collaborator [Bruinier] described the first formula that directly calculates p (n ) for any n, a feat that had eluded number theorists for centuries."
Exercise: Is this remarkable claim true or false?
For commentary here, see Jan. 27, "Indiana Jones and the Magical Oracle."
For further comments (the most recent from March 11), see mathoverflow.net, "Exact formulas for the partition function?"