First Four Digits 2 + 1 + 3 + 2 = 8 The number 21328 has a unique feature: The sum of the first four digits equals the units digit.  How many EVEN five-digit numbers have this unique property?
February 6, 2006
Past Problems
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	Correct Solutions
	Francois Bonjean. Liege, Belgium Gary Brensike. Fairfax, VA Thomas Robertson.  Riverside, RI Greg LaCroix. Somerdale, NJ Jim LeBlanc. West Warwick, RI Frank McGartland. Saskatoon, SK., Canada Eugene Roytman. New York, NY Charles Keebaugh. Colorado Springs, CO Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece Radu Ionescu. Montreal, Quebec, Canada. Aristides Kyriakakis.  Thessaloniki. Greece Nancy Huynh. Everett, MA. Wenlin Fan. Mountain Top, PA Jerome Cherry. Mundare, Alberta, Canada Brittany Cole. Dartmouth High School, Dartmouth, MA Brian Hetrick. UNH, Durham NH Don Miller Teruo Goto. Aichi, Japan Akash Goyal. Miami Valley School. OH Dennis Gorshteyn. South Pasadena Middle School, South Pasadena, CA Tim Poe. Austin TX Farid Lian. Barranquilla, Colombia Ken Tyburski. Chatham Hall, Chatham, VA Derek Brown. Forsyth Country Day, Lewisvill, NC Sarah Chen. Marie Curie Middle School, New York, NY Sagar Patel. Brookstone School, Columbus, GA Farid Lian. Uniatlantico, Barranquilla, Atl Amanda Tu. Southridge School, Surrey, BC, Canada Nikki Tan. Southridge School, Surrey, BC, Canada David Shi. JLS Middle School, Palo Alto, CA Congyue Chen. JLS Middle School, Palo Alto, CA Roland Vyncke. Brugge, Belgium Kunal Singh. Kendriya Vidyalaya Happy Valley, Shillong, India Tom Lindsay. Carver, MA Emil Lalov. Mathematical High School, Pleven, Bulgaria Bob Mitchell. Normal, IL Jon Zazzaretti. Brown Elementary, Denver, CO Clare Perry. Forsyth Country Day School, Lewisville, NC Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA Elizabeth.  Creekwood Middle School, Kingwood, TX Rin Sone. South Pasadena Middle School, CA Kevin Temew. Davao Christian High School, Davao City, Philippines Timothy Yales. Westland, MI Russell Beaty. Brookstone School, Columbus, GA Max White. South Pasadena Middle School, South Pasadena, CA Shaan Arora. Brookstone School, Columbus, GA Carter Galbraith. Brookstone School, Columbus GA Alexander Taciuk. Southridge School, Surrey, BC, Canada George Hatzikiriakos. Southridge School, Surrey, B.C. Brianna Loo. South Pasadena Middle School, South Pasadena CA Tiffany Chen. South Pasadena Middle School, South Pasadena, CA Rodney Clingaman. Fishers, IN Justin Fernicola. Brookstone School, Columbus, GA Jess Thorpe. Brookstone School, Columbus, GA Michelle Lam. South Pasadena Middle School, South Pasadena, CA Mike Osterfoss. Moore, SC Daniel Pyon. South Pasadena Middle School, South Pasadena, CA Matthew Wong. South Pasadena Middle School, South Pasadena, CA Milan Patel. Miami Valley School, Dayton, OH Jordan Ammon. Ormond Beach, FL
	28% of respondents successfully answered this problem.

 

 Last Updated On: 2/13/06