American Mathematical Monthly Problems - 2021

The American Mathematical Monthly is an expository journal intended for a wide audience of mathematicians, from undergraduate students to research professionals. Each issue has a Problems and Solutions section where several new problems are proposed. Below you can find the solutions that I've submitted this year (pdfs will be available after the deadline). As regards the previous years, you can take a look through the following links (but beware of nerd sniping ): 2020 (45), 2019 (41), 2018 (36), 2017 (40), 2016 (50), 2015 (48), 2014 (41), 2013 (29), 2012 (22), 2011 (22), 2010 (15), 2009 (13), 2008 (16), 2007 (15), 2006 (16), 2005 (22), 2004 (13), 2003 (13), 2002 (6), 2001-1993 (19).
For anyone who is interested in sharing hints and solutions, please feel free to contact me at:


Problem 12262 - 06 - Li Zhou (USA).

Problem 12261 - 06 - A. Stadler (Switzerland).

Problem 12260 - 06 - S. M. Stewart (Australia).

Problem 12259 - 06 - G. Fera (Italy).

Problem 12258 - 06 - J. C. Lagarias (USA).

Problem 12257 - 05 - E. Friedman (USA) and J. Tilley (USA).

Problem 12256 - 05 - P. Bracken (USA).

Problem 12255 - 05 - B. Shala (Slovenia).

Problem 12254 - 05 - C. Lupu (USA) and T. Lupu (Romania).

Problem 12253 - 05 - A. Girban (Romania) and B. D. Suceava (USA).

Problem 12252 - 05 - Nguyen Quang Minh (Singapore).

Problem 12251 - 05 - R. Tauraso (Italy).

Problem 12250 - 04 - D. Marghidanu (Romania).

Problem 12249 - 04 - F. Stanescu (Romania).

Problem 12248 - 04 - A. Dzhumadil'daev (Kazakhstan).

Problem 12247 - 04 - P. K. Reddy (India).

Problem 12246 - 04 - S. Stewart (Australia).

Problem 12245 - 04 - J. Chen (China).

Problem 12243 - 03 - M. L. Glasser (USA).

Problem 12242 - 03 - E. Corobea (Romania).

Problem 12241 - 03 - O. Furdui and A. Sintamarian (Romania).

Problem 12239 - 03 - D. Altizio (USA).

Problem 12238 - 03 - Tran Quang Hung (Vietnam).

Problem 12237 - 03 - D. E. Knuth (USA).

Problem 12236 - 02 - N. Safaei (Iran).

Problem 12234 - 02 - N. Osipov (Russia).

Problem 12233 - 02 - C. R. Pranesachar (India).

Problem 12232 - 02 - S. Stewart (Australia).

Problem 12231 - 02 - G. Apostolopoulos (Greece).

Problem 12229 - 01 - M. Omarjee (France).

Problem 12228 - 01 - H. Grandmontagne (France).

Problem 12227 - 01 - G. Galperin and Y. J. Ionin (USA).

Problem 12225 - 01 - P. Jiradilok (USA).

Problem 12224 - 01 - C. Perng (USA).