Break Even Point




Break Even Point

111! is greater than 1^(1^1).
999! is less than 9^(9^9).
At which digit from 1 to 9 is ddd! No longer greater than d^(d^d) and how do you know? (! means factorial and ^ means to the power of).


Correct Solutions:


  1. Larry Kasoff. John P. Stevens High School, Edison, NJ
  2. Gita Madan. Cary High School, Cary, NC
  3. William Chau. New Utrecht HS, Brooklyn, NY
  4. Daniel James Spiegel. Escola Americana de Campinas, Sao Paulo, Brazil
  5. Anup Patel. Lake Highland Prep, Orlando, FL
  6. Perry Tolos. Lake Mary High School, Lake Mary, FL
  7. Amit Kakkar. Lake Highland Prep, Orlando, FL
  8. Justin Watzka. Lake Highland Prep, Orlando, FL
  9. Arthur Barksdale, Lake Highland Prep, Orlando, FL
  10. Sorin Ionescu. Dorval School, Montreal, Quebec, Canada
  11. Tony Wong. Las Lomas High School, Walnut Creek, CA
  12. Chris Cunningham. Center for the Arts and Sciences, Saginaw, MI
  13. Erin Perkins. Lake Highland Prep, Orlando, FL
  14. John Martin. Colonial Heights HS, Colonial Heights, VA
  15. Beth Wilson. Apollo JHS, Richardson, TX