American Mathematical Monthly Problems - 2018

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 ): 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 12054 - 06 - C. I. Valean (Romania).

Problem 12051 - 06 - P. Ribeiro (Portugal).

Problem 12049 - 06 - Z. K. Silagadze (Russia).

Problem 12048 - 06 - J. C. Lagarias (USA).

Problem 12046 - 05 - M. Omarjee (France).

Problem 12045 - 05 - O. Furdui and A. Sintamarian (Romania).

Problem 12041 - 05 - R. Stanley (USA).

Problem 12039 - 04 - S. Silwal (USA).

Problem 12034 - 04 - G. Galperin and Y. J. Ionin (USA).

Problem 12032 - 03 - D. Galante and A. Plaza (Spain).

Problem 12031 - 03 - O. Furdu (Romania).

Problem 12029 - 03 - H. Ohtsuka (Japan).

Problem 12027 - 03 - A. Hannan (India).

Problem 12026 - 02 - M. Bataille (France).

Problem 12024 - 02 - M. Cucoanes, M. Dragan, and N. Stanciu (Romania).

Problem 12023 - 02 - V. Mikayelyan (Armenia).

Problem 12022 - 02 - M. Merca (Romania).

Problem 12021 - 02 - O. Sonebi (Morocco).

Problem 12019 - 01 - N. Safaei (Iran).

Problem 12016 - 01 - H. Ohtsuka (Japan) and R. Tauraso (Italy).

Problem 12015 - 01 - Dao Thanh Oai (Vietnam).

Problem 12014 - 01 - O. Furdui (Romania).