Putnam problem of the day
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Each day, one of currently 612 different Putnam, national or international
Olympiad problems is displayed here.
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Putnam competition 2014
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The 75th Annual Putnam Exam took place on Saturday, December 6, 2014
Congratulations once again to our team members and outstanding
individuals in this year's Putnam Competition! Special congratulations to Ravi Jagadeesan (Freshman) for being a Putnam Fellow (a top-six finisher in the individual competition). Congratulations to Calvin Deng and Malcolm Granville for being among the next 27 highest ranking individuals, and to Evan Chen, Rahul Dalal, Octav Dragoi, Xiaoyu He, Pakawut Jiradilok, Aaron Landesman, Zihao Wang and Allen Yuan for honorable mentions. In the team competition, Harvard's team came in 2nd overall. The first five teams were:
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Putnam competition 2013
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The 74th Annual Putnam Exam took place on Saturday, December 7, 2013
The sign-up sheet is posted on the undergraduate bulletin board
on the third floor Of the Science Center,
in the Math Dept. opposite rooms 322 and 323.
The deadline for signing up is October 4, 2013
The examination will consist of two, three hour sessions.
There will be a two hour break between sessions.
The Morning Session begins at 10:00 AM and ends at 1:00 PM
The afternoon Session begins at 3:00 PM and ends at 6:00 PM. Congratulations once again to our team members and outstanding individuals in this year's Putnam Competition! Special congratulations to Evan O'Dorney for being a Putnam Fellow (a top-five finisher in the individual competition) for the third straight year. Congratulations to Calvin Deng, Malcolm Granville and Xiaoyu He for being among the next 14 highest ranking individuals, and to Octav Dragoi, Pakawut Jiradilok, Aaron Landesman, David Liu, Toan D. Phan, Barry Tng and Jeffrey Yan for honoroable mentions. In the team competition, Harvard's team came in 4th overall. The first five teams were: 1. MIT 2. CMU 3. Stanford 4. Harvard 5. Caltech Please congratulate our team members, Evan O'Dorney, Octav Dragoi and Allen Yuan. |
Putnam competition 2012
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Congratulations once again to our team members and outstanding
individuals in this year's Putnam Competition!
Harvard's team came top (for the 29th time). The first five teams were:
1. Harvard 2. MIT 3. UCLA 4. Stony Brook 5. Carnegie-Mellon
Please congratulate Eric Larson, Evan O'Dorney and
Allen Yuan. Each
receives $1,000, as members of the top-ranked team.
Special congratulations to Eric Larson and Evan O'Dorney for being
Putnam Fellows (top-five finishers in the individual competition, with
an award of $2,500). This is the second year in which Evan has been a
Putnam Fellow. Congratulations to Octav Dragoi for finishing amongst the
next eleven individuals (for an award of $1,000), and to Xiaoyu He,
Aleksandar Makelov and Allen Yuan for honorable mentions. Media: Photo 1 (3648x2736 px) (April 5, 2013) Photo 2 (3648x2736 px) (April 5, 2013) Photo 3 (3648x2736 px) (April 5, 2013) Photo 4 (3648x2736 px) (April 5, 2013) |
  From left to right: Eric Larson, Evan O'Dorney and Allen Yuan. (Click on thumbnail for large picture). |
Putnam competition 2011
 Alex Zhai, Eric Larson and Evan O'Dorney. (Click for large picture). | Congratulations to our team members and outstanding individuals in this year's Putnam Competition. Harvard's team won for the 28th time. The first five teams were: Harvard, Carnegie Mellon, Caltech,Stanford, MIT. Please congratulate our team members, Eric Larson, Evan O'Dorney and Alex Zhai. Each receives $1000. Congratulations to Evan O'Dorney for being a Putnam Fellow (a top-five finisher, which carries an award of $2,500). Congratulations to Alex Zhai for finishing amongst the next 18 individuals (and an award of $250), and congratulations to Eric Larson and Allen Yuan for honorable mentions. |
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Putnam competition 2010
Congratulations to our team members and outstanding individuals in this
year's Putnam Competition. Our team placed third (congratulations to
Caltech and MIT this year), and we had outstanding individual results,
with four students placed in the top 15. The top five teams were:
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The 71st Annual Putnam mathematical competition
took place on December 4, 2010 in the Science Center, Hall C.
All signed up students should come at 9:30 am to the Science Center.
Students who have not signed up in advance are welcome also. We will
have extra copies of the exam.
| Saturday, December 4: Morning Session 10 AM - 1 PM | Saturday, December 4: Afternoon Session 3 PM - 6 PM |
Putnam competition 2009
The Putnam Mathematical Competition in 2009 took place on Saturday, December 5, 2009.| 1. MASSACHUSETTS INSTITUTE OF TECHNOLOGY | Qingchun Ren, Bohua Zhan, and Yufei Zhao |
| 2. HARVARD UNIVERSITY | Iurie Boreico, Arnav Tripathy, and Alex Zhai |
| 3. CALIFORNIA INSTITUTE OF TECHNOLOGY | Jason C. Bland, Sam Elder, and Gjergji Zaimi |
| 4. STANFORD UNIVERSITY | Young Hun Jung, Seok Hyeong Lee, and Jeffrey Wang |
| 5. PRINCETON UNIVERSITY | Peter Z. Diao, Adam C. Hesterberg, and John V. Pardon |
Source and more details.
Putnam competition 2008
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| The winning Putnam team: from left to right: Zachary Abel, Arnav Tripathy and Iurie Boreico Photo: April 1, 2009, Harvard University. Click to see a large version of the photo. | The winning Putnam team: from left to right: Iurie Boreico, Zachary Abel and Arnav Tripathy Photo: April 1, 2009, Harvard University. Click to see a large version of the photo. See also AMS, news for students. |
| The Putnam Mathematical Competition in 2008 took place on Saturday, December 6. 2008. Harvard has won the Putnam competition yet again! Congratulations to our winning team members and outstanding individuals: Our winning team members, Zachary Abel, Iurie Boreico, and Arnav Tripathy, each receive $1000 for the team competition. The top five teams are: 1. Harvard, 2. Princeton, 3. MIT, 4. Stanford, 5. Caltech. Congratulations to Arnav Tripathy, for being among the five highest ranking individuals (a Putnam Fellow) for the second time. He receives a prize of $2,500. Congratulations to Iurie Boreico and freshman Alex Zhai for being among the next eleven highest ranking individuals (for a prize of $1000), and to Zachary Abel for being amongst the next nine. Honorable mentions go to Kevin Carde, Zhou Fan, Rosen Kralev, Yi Sun, Dmitry Vaintrob, Ameya Velinger and Neal Wadhwa. A total of 3627 students from 545 colleges in Canada and the United States participated in the competition. See the photos. Also the MCM competition results are now official. One of our teams: Yi Sun, Chris Chang and Zhou Fan, was one of the four outstanding teams, and was the SIAM prize recipient. Photos. |
Putnam competition 2007
| The Putnam Mathematical Competition in 2007 took place on Saturday, December 1. 2007. Congratulations to our winning team members and outstanding individuals: Harvard is once again top of the heap in the Putnam competition! Our winning team members, Tiankai Liu, Alison Miller and Zachary Abel, each receive $1000. The top five teams are: 1. Harvard, 2. Princeton, 3. MIT, 4. Stanford, 5. Duke. Congratulations to Arnav Tripathy, for being among the six highest ranking individuals (a Putnam Fellow), and receiving a prize of $2,500. Congratulations to Alison Miller, Tiankai Liu and Justin Bae for being among the next ten highest ranking individuals (for a prize of ). Alison is also the winner (for a third time!) of the Elizabeth Lowell Putnam Prize. Congratulations to Zachary Abel, Iurie Boreico, and Shrenik Shah for being amongst the next eight highest ranking individials; and congratulations to Zhou Fan, and Rishi Gupta for Honorable Mentions. A total of 3753 students from 516 colleges in Canada and the United States participated in the competition. |
Putnam competition 2006
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The Putnam Mathematical Competition in 2006 took place
Saturday, December 2, 2006.
Congratulations to our team members, and all who competed in the 2006
Putnam competition, for another outstanding performance.
Harvard's Putnam team came in second, behind Princeton. Congratulations to:
Tiankai Liu, Alison Miller and Tong Zhang.
Each member of the team will receive $800. The 5 winning teams were: 1. Princeton, 2. Harvard, 3. MIT, 4. U. Toronto, 5. U. Chicago Congratulations to Tiankai Liu, for being again among the five highest ranking individuals (a Putnam Fellow), and receiving a prize of $2,500. Congratulations to Alison Miller for being among the next ten highest ranking individuals (for a prize of $1000). Alison is also the winner (again!) of the Elizabeth Lowell Putnam Prize. |
Congratulations to Zachary Abel, Jae Bae, Jared Bass,
Steven Byrnes, Charles Chen, Ben Conlee, Rishi Gupta,
Daniel Jerison, Joel Lewis, Mark Lipson,, Dragos Michnea,
Gregory Price, and Tong Zhang. They are among the Honorable Mention
Individuals. A total of 3640 students from 508 colleges in Canada and the United
States participated in the competition. The Harvard Team are the winners in the 2007 Mathematical Contest in Modeling: The Harvard team (Ben Conlee, Abe Othman, and Chris Yetter) earned the award of Outstanding Winners on the 23rd annual Mathematical Contest in Modeling (MCM) "A" problem. This year 949 teams representing institutions from 12 countries participated in the contest. 351 teams worked on the Problem "A". They were asked to develop a model for "fairly" and "simply" determining congressional districts for a state. |
Putnam competition 2005
| Harvard is the winner of the Putnam Competition 2005. Congratulations to our team members Tiankai Liu, Alison Miller, and Tong Zhang.. Each member of the team will receive $1,000. | The 5 winning teams are: Harvard, Princeton Duke MIT and Waterloo |
| Congratulations to the Ricky Liu and Tiankai Liu. They are among the six highest ranking individuals, and they will receive $2,500 each. Congratulations to Steven Byrnes and Alison Miller are among the next ten highest ranking individuals. They will receive $1,000 each. Alison Miller is a winner of Elizabeth Lowell Putnam Prize, and she will receive $1,000. Congratulations!. | Congratulations to Jae Bae Joel Lewis, Tong Zhang and Yan Zhang. They are among Honorable Mention Individuals. 3545 students from 500 colleges in Canada and the United States participated in the competition. The results on our undergraduate bulletin boards. If you want to know your personal result, ask Svetlana. |
| We also have good news from the annual Mathematical Contest in Modeling (MCM) and the Interdisciplinary Contest in Modeling (ICM). Over 900 teams competed this year. | The Harvard team of Christopher Yetter, Neal Gupta, and Benjamin Conlee was designated as Outstanding Winner SIAM Award. |
Old Exams and links to Archives
About the competition
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The Putnam competition
annualy takes place in December. From the
description: The Putnam examination tests originality, technical competence and familiarity with the formal theories embodied in undergraduate mathematics. Questions cut across the bounds of various disciplines, and include self-contained questions that do not fit into any of the usual categories. These self-contained questions can involve elementary concepts from group theory, set theory, graph theory, lattice theory, number theory or cardinal arithmetic. |
Results from the 2006 competition
The list of Winners is hereResults from the 2005 competition
The list of Winners is hereResults from the 2004 competition
The list of Winners is hereResults from the 2003 competition
The list of Winners here| Rank | School | Team Members (in alphabetical order) |
| 1 |
MIT | Reid W. Barton, Daniel M. Kane and Yevgeny K. Zaytman |
| 2 | HARVARD UNIVERSITY | Gabriel D. Carroll, George Lee, Jr., and Alexander B. Schwartz |
| 3 | DUKE UNIVERSITY | David G. Arthur, Nikifor C. Bliznashki and Oaz Nir |
| 4 | CALTECH | Zhihao Liu, Po-Ru Loh and Po-Shen Loh |
| 5 | HARVEY MUDD COLLEGE | David J. Gaebler, Jason Murcko and Andrew G. Niedermaier |
RESULTS FROM the 2002 COMETITION
Winner list from here.
Rank
School
Team Members (in alphabetical order)
1
HARVARD UNIVERSITY
Gabriel D. Carroll, George Lee, Jr., and Alexander B. Schwartz
2
PRINCETON UNIVERSITY
Stefan L. Hornet, Mihai Manea, and Radu H. Mihaescu
3 DUKE UNIVERSITY
David G. Arthur, Oaz Nir, and Melanie E. Wood
4
UNIVERSITY OF CALIFORNIA, BERKELEY
Boris Bukh, James M. Merryfield, and Austin W. Shapiro
5
STANFORD UNIVERSITY
Chee Hau Tan, Paul A. Valiant, and Daniel Wright
Results from the 2001 Competition
Winner list from www.unl.edu :
Rank School Team Members (in alphabetical order)
1 Harvard University Gabriel D. Carroll, George Lee, Jr., and Alexander B. Schwartz 2 Massachusetts Institute of Technology Reid W. Barton, Abhinav Kumar, and Pavlo Pylyavskyy 3 Duke University David G. Arthur, Nathan G. Curtis, and Kevin D. Lacker 4 University of California, Berkeley Maksim I. Maydanskiy, James M. Merryfield, and Austin W. Shapiro 5 Stanford University Kenneth K. Easwaran, Paul A. Valiant, and David T. Vickrey
Results from the 2000 competition
Winnerlist from www.unl.edu :
Rank School Team Members (in alphabetical order)
1 Duke University John J. Clyde, Jonathan G. Curtis, and Kevin D. Lacker
2 Massachusetts Institute of Technology Aram W. Harrow, Abhinav Kumar, and Ivan Petrakiev
3 Harvard University Lukasz Fidkowski, Davesh Maulik, and Christopher C. Mihelich
4 California Institute of Technology Kevin P. Costello, Christopher M. Hirata, and Michael Shulman
5 University of Toronto Jimmy Chui, Pavel T. Gyrya, and Pompiliu Manuel Zamfir
First place teams
A list of first place teams can be found
here.
The individual Putnam fellows since 1938 can be found
on this website.
The Harvard team won 29 times in the 73 competitions so far:
- 7th,5/24/47
- 9th,3/26/49
- 13th,3/23/53
- 15th,3/5/55
- 16th,3/3/56
- 17th,3/2/57
- 19th,11/22/58
- 26th,11/20/65
- 27th,11/19/66
- 43rd,12/4/82
- 46th,12/7/85
- 47th,12/6/86
- 48th,12/5/87
- 49th,12/3/88
- 50th,12/2/89
- 51st,12/1/90
- 52nd,12/7/91
- 53rd,12/5/92
- 55th,12/3/94
- 56th,12/2/95
- 58th,12/6/97
- 59th,12/5/98
- 62th,12/1/01
- 63th,12/7/02
- 66th,12/3/05
- 68th,12/1/07
- 69th,12/6/08
- 72th,12/3/11
- 73th,12/1/12
Statistics starting 1938:
Top five students (as of 2012 competition)
Harvard 58
MIT 43
Caltech 32
First Place Teams (as of 2012 competition)
29 Harvard
10 Caltech
6 MIT
Source
| Rank | School | Team Members (in alphabetical order) |
| 1 |
HARVARD UNIVERSITY | Gabriel D. Carroll, George Lee, Jr., and Alexander B. Schwartz |
| 2 | PRINCETON UNIVERSITY | Stefan L. Hornet, Mihai Manea, and Radu H. Mihaescu |
| 3 | DUKE UNIVERSITY | David G. Arthur, Oaz Nir, and Melanie E. Wood |
| 4 | UNIVERSITY OF CALIFORNIA, BERKELEY | Boris Bukh, James M. Merryfield, and Austin W. Shapiro |
| 5 | STANFORD UNIVERSITY | Chee Hau Tan, Paul A. Valiant, and Daniel Wright |
| Rank | School | Team Members (in alphabetical order) | |
|---|---|---|---|
| 1 | Harvard University | Gabriel D. Carroll, George Lee, Jr., and Alexander B. Schwartz | |
| 2 | Massachusetts Institute of Technology | Reid W. Barton, Abhinav Kumar, and Pavlo Pylyavskyy | |
| 3 | Duke University | David G. Arthur, Nathan G. Curtis, and Kevin D. Lacker | |
| 4 | University of California, Berkeley | Maksim I. Maydanskiy, James M. Merryfield, and Austin W. Shapiro | |
| 5 | Stanford University | Kenneth K. Easwaran, Paul A. Valiant, and David T. Vickrey |
| Rank | School | Team Members (in alphabetical order) |
|---|---|---|
| 1 | Duke University | John J. Clyde, Jonathan G. Curtis, and Kevin D. Lacker |
| 2 | Massachusetts Institute of Technology | Aram W. Harrow, Abhinav Kumar, and Ivan Petrakiev |
| 3 | Harvard University | Lukasz Fidkowski, Davesh Maulik, and Christopher C. Mihelich |
| 4 | California Institute of Technology | Kevin P. Costello, Christopher M. Hirata, and Michael Shulman |
| 5 | University of Toronto | Jimmy Chui, Pavel T. Gyrya, and Pompiliu Manuel Zamfir |
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Statistics starting 1938:
Top five students (as of 2012 competition)
Harvard 58 MIT 43 Caltech 32 |
First Place Teams (as of 2012 competition)
29 Harvard 10 Caltech 6 MITSource |