One Remains What is the smallest number that is divisible by 13 but when divided by the whole numbers 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12 yields a remainder of 1?
November 28, 2005
Past Problems
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	Correct Solutions
	Marius Damian. Braila, Romania Can Oztoprak. Istanbul, Turkey Jon Eisenberg. Dartmouth High School, Dartmouth, MA Tim Poe. Austin, TX Lisa Schechner. Schreiber HS, Port Washington, NY Radu  Ionescu. Montreal, Quebec, Canada Eugene Roytman, New York, NY Jerrold Greenberg. New York, NY Brian Hetrick. UNH, Manchester, NH Francois Bonjean. Liege, Belgium Emil Lalov. Mathematical High School, Pleven, Bulgaria Aristides Kyriakakis.  Thessaloniki.  Greece Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ Matthew Kestenbaum, Dartmouth High School, Dartmouth, MA Hana Cookson, West High School, Torrance, CA Raphael Chalhub. Pan American School of Bahia, Salvador, Bahia, Brazil Frank McGartland. Saskatoon, SK., Canada Teruo Goto. Aichi, Japan Jerome Cherry. Mundare Alberta Canada Max White. South Pasadena Middle School, South Pasadena, CA Genoa Warner. Dartmouth High School, Dartmouth, MA Jeremy Harbour. Russell High School, Russell, KY Katherine Wang. South Pasadena MIddle School, South Pasadena, CA Svadharma Keerthi, South Pasadena, South Pasadena Middle School, CA Albert Zhou.  Scott Middle School, Lincoln, NE Catherine Cunningham. Creekwood Middle School, Kingwoood, TX Nicholas Caligaris. Brookstone School, Columbus, GA Rachel Bier. Dartmouth High School, Dartmouth, MA Rin Sone. South Pasadena Middle School, CA Daniel Pyon. South Pasadena Middle School, South Pasadena, CA Matthew DeCoste. La Canada High School, La Canada, CA Omid Kohannim. UCLA, Los Angeles, CA Karina Shaw, Laguna Beach High School, CA Kelly Temew. Davao Christian High School, Davao City, Philippines Mike Osterfoss. Colorado School of Mines, Golden, CO Abigail Finger. Dartmouth High School, Dartmouth, MA Hamilton Hardison.  University of Georgia. Athens, GA Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece Timothy Yales. Westland, MI Mark Wintczak. Naperville, IL Pat Costello. EKU, Richmond, KY Sarah Chen. Marie Curie Middle School, New York, NY Brianna Loo. South Pasadena Middle School. South Pasadena, CA Matthew Wong. South Pasadena Middle School, South Pasadena, CA Jennifer Sailor. Osceola Middle School, Ocala, FL Andrew Sailor. Osceola Middle School, Ocala, FL Lusha Zhou. Richmond Secondary, BC, Canada Amanda Tu. Southridge School, Surrey, BC, Canada Katherine Wang. South Pasadena Middle School, South Pasadena, CA Michelle Lam. South Pasadena Middle School, South Pasadena, CA Leong HoongHan. Bukit Mertajam, Penang, Malaysia Kevin Temew. Davao Christian High School, Davao City, Philippines Bar Greengrass. Israel James Kawakami. South Pasadena Middle School, South Pasadena, CA Justin Paupore. Detroit Country Day School, Beverly Hills, MI Bob Mitchell. Normal, IL Ashvin Swaminathan. Harker Elementary School, San Jose, CA Charles Keebaugh Colorado Springs, CO Ben Gieske. Sauk Centre HS, Sauk Centre, MN Sébastien. Érablière, Gatineau, Québec, Canada Carolyn Merchant. Dartmouth High School, South Dartmouth, MA Carter Galbraith. Brookstone School, Columbus, GA Amanda DeCosta. Dartmouth High School, Dartmouth, MA Anil Nataraj. Brookstone School, Columbus, GA Tiffany Chen. South Pasadena Middle School, South Pasadena, CA Jane Park. South Pasadena Middle School, South Pasadena, CA Max Schaeffer. Darren Brown. West Port High School, Ocala, FL Ted Aronson. Norwood, MA George Hatzikiriakos. Southridge School, Surrey, B.C., Canada John Song. White Station High School, Memphis, TN Herman Timoteo. Manila, Philippines Harry Siebert. Infineon, Munich, Germany Eric Coffin. Wilcox Tech, Meriden, CT Roland Vyncke. Brugge, Belgium Adam Thibideau. Toronto, ON, Canada The Math Team. Trinity HS, River Forest IL Stephen Farver.  Pope John XXIII High School, Katy, TX Jim LeBlanc. West Warwick, RI Thomas Robertson, Riverside, RI Josh Gow. Sauk Centre HS, Sauk Centre, MN Russell Beaty. Brookstone School, Columbus, GA Dan Dietz. Creekwood Middle School, Kingwood, TX Emily Cowperthwaite. Leo Hayes High, New Brunswick, Canada Mansi Raythatha. Creekwood Middle School, Kingwood, TX Sagar Patel. Brookstone School, Columbus, GA Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA Carl Sedgeman. Sauk Centre HS, Sauk Centre, MN Ray Cook. Munroe Falls, OH Max Wolff. South Pasadena Middle School, South Pasadena, CA Diane Kristiansen. Westwood College, Dallas, TX Mrinal Singh. K.V.,H.V., Shillong, Meghalaya, India Ross Pacheco. Hastings Middle School, Fairhaven, MA Kristy Chang. South Pasadena Middle School, South Pasadena, CA
	39% of respondents successfully answered this problem.

 

 Last Updated On: 12/12/05