The Putnam Archive

The William Lowell Putnam Mathematics Competition is a North American math contest for college students. Each year on the first Saturday in December, several thousand US and Canadian students spend 6 hours (in two sittings) trying to solve 12 problems. Individual and team winners (and their schools, in the latter case) get some money and a few minutes of fame.

The material on this page is intended to supplement the MAA's three existing compilations of Putnam exams. These books are:

All three are currently in print, and should be available for purchase through the MAA web site or other channels.

Problem statements given here are verbatim from the competition (except some diagrams are missing), and are copyrighted by the Mathematical Association of America. They appear here with permission, but further redistribution is subject to copyright restrictions; contact the MAA for assistance.

Solutions given here are compiled based on numerous sources, including the Art of Problem Solving discussion forums. Copyright is held by the named authors, who request that you link to this page in lieu of reproducing these solutions elsewhere. Please do not refer to these as "official solutions", as this creates confusion with the true official solutions issued by the MAA reflecting the intent of the problem setters. Those appear in the official exam summary, along with results and statistics, in the American Mathematical Monthly sometime in the year following the competition, usually in October. (One typically also finds solutions in Mathematics Magazine in early spring.)

Until 2016, a printed summary of results was sent by mail (usually in early April) to participating schools along with exam results; the HTML versions below are transcriptions of these. Starting with the 2017 competition, this material was sent electronically in mid-February; both the original summary of results and old-style HTML transcriptions are provided.

For corrections and other comments about this material only, contact Kiran Kedlaya. I cannot provide individual scores (see your school's Putnam coordinator) or assist with exam administration (see the MAA's Putnam home page for instructions).

Results from the 2017 competition, held December 2, were posted on February 20. My understanding is that this timing, which is 4-6 weeks earlier than in previous years, is likely to continue in the future.

Year Problems Solutions Winners Scores
2017 TeX PDF TeX PDF HTML PDF HTML
2016 TeX PDF TeX PDF HTML   HTML
2015 TeX PDF TeX PDF HTML   HTML
2014 TeX PDF TeX PDF HTML   HTML
2013 TeX PDF TeX PDF HTML   HTML
2012 TeX PDF TeX PDF HTML   HTML
2011 TeX PDF TeX PDF HTML   HTML
2010 TeX PDF TeX PDF HTML   HTML
2009 TeX PDF TeX PDF HTML   HTML
2008 TeX PDF TeX PDF HTML   HTML
2007 TeX PDF TeX PDF HTML   HTML
2006 TeX PDF TeX PDF HTML   HTML
2005 TeX PDF TeX PDF HTML   HTML
2004 TeX PDF TeX PDF HTML   HTML
2003 TeX PDF TeX PDF HTML   HTML
2002 TeX PDF TeX PDF HTML   HTML
2001 TeX PDF TeX PDF HTML   HTML
2000 TeX PDF TeX PDF HTML   HTML
1999 TeX PDF TeX PDF HTML   HTML
1998 TeX PDF TeX PDF HTML   HTML
1997 TeX PDF TeX PDF HTML   HTML
1996 TeX PDF TeX PDF HTML   HTML
1995 TeX PDF TeX PDF HTML   HTML
1994 TeX PDF   HTML   HTML
1993 TeX PDF      
1992 TeX PDF      
1991 TeX PDF      
1990 TeX PDF      
1989 TeX PDF      
1988 TeX PDF      
1987 TeX PDF      
1986 TeX PDF      
1985 TeX PDF