John Nash was also accepted into Harvard
In a letter of reference for Nash's admission to Princeton, Nash's advisor and former Carnegie professor Richard Duffin said, "He is a mathematical genius." Harvard University also accepted Nash as a student which is one of the interesting facts about John Nash.
Solomon Lefschetz, the head of Princeton's mathematics department, persuaded Nash that Princeton thought more highly of him by offering him a John S. Kennedy fellowship. Princeton was also more appealing to him because it was close to his relatives in Bluefield. He started developing his equilibrium theory at Princeton, which became known as the Nash equilibrium.
The relationship between Nash and Princeton is well-known and has been extensively covered in popular culture, including in the movie A Beautiful Mind. Harvard University also accepted him, but he chose not to enroll there because Princeton gave him a fellowship as a sign of how much higher they valued him.