The Putnam Competition: The Premier Undergraduate Mathematics Challenge
The Putnam Competition: The Premier Undergraduate Mathematics Challenge
Each December, thousands of undergraduates from hundreds of colleges and universities across the United States, Canada, and Mexico sit down for a six-hour mathematics exam that is deliberately designed to be brutally difficult. The median score is often 2 out of 120. The best students in the room — the ones who solve even half the problems — walk away with a credential that follows them for decades.
This is the William Lowell Putnam Mathematical Competition (the Putnam), the preeminent mathematics competition for undergraduate students in North America. What began in 1938 as a friendly rivalry between mathematics departments has become the leading university-level mathematics examination in the world.
The Putnam is not just an academic exercise. It is a filtering mechanism. And the people it filters through now populate the upper echelons of quantitative finance, artificial intelligence, and technology.
What Is the Putnam?
The Putnam is an annual mathematics competition open to undergraduates at colleges and universities in the United States and Canada, with Mexico added in recent years. It is organised by the Mathematical Association of America (MAA) and supported by the William Lowell Putnam Prize Fund, an endowment established in 1927 by Elizabeth Lowell Putnam in memory of her husband.
The competition is held every December. In 2025, the 86th Putnam Competition took place on December 6, with 4,335 undergraduates participating from 488 institutions. Participation grew by over 300 students compared to the previous year.
The exam is known for its difficulty. In 2025, the top individual score was 110 out of a possible 120 points, while the average score was approximately 10, and the median score was just 2. A perfect score is rare; most years, no one achieves it.
How the Putnam Works
The Putnam is a six-hour exam, traditionally split into two three-hour sessions. Problems are proof-based and require rigorous mathematical reasoning. No calculators are permitted. The competition covers a broad range of undergraduate mathematics, including algebra, analysis, geometry, and combinatorics.
Cash prizes are awarded to the highest-ranked teams, the top individual scorers, and the top-performing female participant. The Putnam Fellows — the five highest-ranking individuals — each receive a $2,500 award and a Putnam medal.
The Elizabeth Lowell Putnam Prize was established in 1992 and is awarded to a woman whose performance in the competition is particularly meritorious. The prize carries a cash award of $1,000.
The competition is also a team event. The department of the top team receives 1,000. In 2025, MIT took top team honours, followed by the University of Chicago, Harvard, Stanford, and Caltech.
Update for 2026: A New Format
Beginning in 2026, the Putnam will undergo a significant structural change. The competition will shift from two three-hour sessions to four ninety-minute sessions, with more frequent designated breaks. Students will not be permitted to exit the exam room and return during a session, except during the designated breaks.
Start times will also be adjusted across time zones so that exam sessions are synchronous for all participants. The 87th Putnam Competition is scheduled for Saturday, December 5th, 2026.
The new format is designed to be more manageable for participants while maintaining the rigour of the exam. It may also reduce the cognitive fatigue associated with a single three-hour block of intense problem-solving.
What the Gallian History Reveals
Joseph A. Gallian's comprehensive history of the Putnam, documented in his "The Putnam Competition from 1938–2012" paper, covering 1938 to 2012, reveals several striking trends about the competition's evolution.
Participation has grown enormously. The number of participants in the 2003 Putnam alone exceeded the total number of participants in the first seventeen competitions from 1938 through 1957. The cumulative total of 100,000 participants was likely reached around 2004.
The difficulty remains extreme. Gallian notes that "the greatest number of zero scores occurred in 2006, when 2,279 of 3,640 participants registered scores of zero". This is not a sign that the competition is too hard — it is a sign that the problems are designed to identify the very best, not to reward average performance.
Certain institutions have dominated. Over the decades, Harvard, MIT, Duke, Princeton, and Stanford have consistently produced the strongest teams. Harvard and MIT each won nine times in the 2000s alone.
Putnam Fellows go on to remarkable careers. Gallian's history documents that Putnam Fellows have included Fields Medalists, Nobel laureates, and leaders of major technology and finance firms.
The Putnam Pipeline: From Medal to Market
The Putnam has become a defining credential for a particular kind of elite — one that flows directly into quantitative finance.
For example, Laurence Penn, a founding partner of Ellington Management Group, was one of five Putnam winners nationwide in 1980 and represented the United States in the International Mathematical Olympiad.
A report examining the career paths of top Putnam performers found that approximately 10.2% of top Putnam performers from 2006–2008 went into quantitative finance. Putnam Fellows include three Fields Medalists (David Mumford, Daniel Quillen, and Paul Cohen) and two Nobel laureates in physics (Richard Feynman and Kenneth Wilson).
The skills the Putnam develops — rigorous reasoning under time pressure, creative problem-solving, and the ability to decompose unfamiliar problems into tractable pieces — are exactly the skills that quantitative research demands. Quant firms like Jane Street, Citadel, and Renaissance Technologies actively recruit Putnam alumni.
Frequently Asked Questions
What is the Putnam Competition?
The William Lowell Putnam Mathematical Competition is the preeminent mathematics competition for undergraduate students in the United States, Canada, and Mexico. It has been held annually since 1938 and is organised by the Mathematical Association of America.
Who is eligible for the Putnam?
The competition is open to undergraduates at colleges and universities in the United States, Canada, and Mexico. Students must be enrolled in an undergraduate program and cannot have received a bachelor's degree.
How is the Putnam scored?
The exam consists of 12 problems, each worth 10 points, for a total of 120 points. Problems are proof-based and require rigorous mathematical reasoning. The median score is often very low — in 2025, it was 2 out of 120.
What is a Putnam Fellow?
A Putnam Fellow is one of the five highest-ranking individual participants in the competition. Fellows receive a $2,500 award and a Putnam medal. The designation is one of the most prestigious undergraduate mathematics honours in the world.
What is the Elizabeth Lowell Putnam Prize?
The Elizabeth Lowell Putnam Prize was established in 1992 and is awarded to a woman whose performance in the competition is particularly meritorious. The prize carries a $1,000 cash award.
Why do Putnam participants go into quantitative finance?
Quantitative trading firms value the skills the Putnam develops: rigorous problem-solving under time pressure, pattern recognition, and mathematical creativity. Approximately 10% of top Putnam performers go into quantitative finance, and firms like Jane Street and Citadel actively recruit Putnam alumni.
What is changing about the Putnam in 2026?
Beginning in 2026, the competition will shift from two three-hour sessions to four ninety-minute sessions, with more frequent designated breaks. Start times will be synchronised across time zones.
Further Resources
- Putnam Archive (unofficial): Problem statements, solutions, and competition results for recent years — kskedlaya.org/putnam-archive
- MAA Putnam page: Official competition information, registration, and policies — maa.org/putnam
- Gallian, J.A. "The Putnam Competition from 1938–2012": A comprehensive history of the competition's first 75 years — math.uh.edu/~torok/Putnam/Gallian_putnam-history_2012.pdf