The Putnam competition takes place on the first Saturday in December, and consists of two three-hour sittings separated by a lunch break. The competition is supervised by faculty members at the participating schools. Each one consists of twelve challenging problems. The problems cover a range of advanced material in undergraduate mathematics, including concepts from group theory, set theory, graph theory, lattice theory, and number theory. In 2003, of the 3,615 students competing, 1,024 (28%) scored 10 or more points, and 42 points was sufficient to make the top percentile. In 2024, 3,988 students competed with 1,273 (32%) scoring 10 or more points with 48 points were needed to rank 100. At a participating college, any student who wishes to take part in the competition may (limited by the number of spots a school receives); but until 2019 the school's official team consisted of three individuals whom it designated in advance. Until 2019, a team's score was the sum of the ranks of its three team members, with the lowest cumulative rank winning. It was entirely possible, even commonplace at some institutions, for the eventual results to show that the "wrong" team was picked—i.e. that some students not on the official team outscored an official team member. For example, in 2010,
MIT had two of the top five scorers in the competition and seven of the top 24, while
Caltech had just one student in the top five and only four in the top 24; yet Caltech took first place among teams while MIT took second. In 2019 the rules of the competition changed, with a school's team consisting of its top three scorers, and team ranks determined by comparing the sums of the scores of the team members. Many Putnam Fellows have gone on to become distinguished researchers in mathematics and other fields, including three
Fields Medalists—
John Milnor (also an
Abel Prize laureate),
David Mumford, and
Daniel Quillen—and two
Nobel laureates in physics—
Richard Feynman and
Kenneth Wilson. ==Winners==