One Remainder




One Remainder

What is the smallest number that is divisible by 13 and at the same time, when divided by counting numbers 2 through 12 gives a remainder of 1?


Correct Solutions:


  1. Michael Moyer. The Way Home School, Carlisle, PA
  2. Ionescu Sorin. Ecole Dorval, Quebec, Canada
  3. Katya Permiakova. Lisgar Collegiate Institute, Ottawa, ON, Canada
  4. Scott Templin. Lake Highland Prep, Orlando, FL
  5. Alan Zebchuk. St. Mark Catholic HS, Metcalfe, Ontario, Canada
  6. Mohammed Saadullah Habib. Oviedo HS, Oviedo, FL
  7. Tetsuya Matsuguchi. Centennial HS, Boise, ID
  8. Greg Barber. Greensburg Salem HS, Greensburg, PA
  9. Mihir Faldu. Titusville HS, Titusville, FL
  10. Brett Trahan. Titusville HS, Titusville, FL
  11. Justin Randall. Titusville HS, Titusville, FL
  12. Bailes Brown. Walhalla MS, Walhalla, SC
  13. Derek Hensley. Titusville HS, Titusville, FL
  14. Joshua Huckabee. Heritage Prep, Orlando, FL
  15. Patrick Smith. Walkersville HS, Walkersville, MD
  16. Bianca Vollmer. Markgraefler Gymnasium, Muellheim, Germany
  17. Justin Altman. Center for Arts & Sciences, Saginaw, MI
  18. Katie Wagner. McRoberts Secondary, Richmond, BC, Canada
  19. Ryan Gutenkunst. Centennial HS, Pueblo, CO
  20. Nirmal Mankani. Center for Arts & Sciences, Saginaw, MI
  21. Carri Temple. Center for Arts & Sciences, Saginaw, MI
  22. Sumeet Kadakia. Mira Costa HS, Manhattan Beach, CA
  23. Dane Moler. Mira Costa HS, Manhattan Beach, CA
  24. Darren Simmons. Marcus HS, Flower Mound, TX
  25. Larry Lynch. Hardin Northern, Dola, OH
  26. Eli Alper. Trinity Prep, Winter Park, FL
  27. Marc Karle. Markgr„fler Gymnasium, Mllheim, Germany
  28. Andrew Baird. Eagle Rock JHS, Idaho Falls , ID
  29. Nick Westfahl. Maize HS, Maize, KS
  30. Laura Hiatt. Lake Mary HS, Lake Mary, FL
  31. Stacy Finkbeiner. Center for Arts & Sciences, Saginaw, MI
  32. Junyong Pak. Haddon Twp HS, Haddon Twp, NJ
  33. Ming Chang. Eastside HS, Gainesville, FL
  34. Robin Campbell. Lake Highland Prep, Orlando, FL
  35. Toufic Simaan. Trinity Prep, Winter Park, FL
  36. Gita Madan. Cary HS, Cary, NC
  37. Emily Nguyen. Caledonia HS, Caledonia, MS
  38. Christopher Young. Center for Arts & Sciences, Saginaw, MI
  39. Dean A. Sweberg. Aylen JHS, Puyallup, WA
  40. Dave Hodgdon. Sacopee Valley HS, Hiram, ME
  41. Michael Satchfield. Marine City HS, Marine City, MI
  42. Perry Tolos. Lake Mary HS, Lake Mary, FL
  43. Christina Small. Titusville HS, Titusville, FL
  44. Taly Bialostocki. Moscow JHS, Moscow, ID
  45. Chris Cunningham. Center for Arts & Sciences, Saginaw, MI
  46. Bobby Goddard. Walkersville HS, Walkersville, MD
  47. Joel Flaxman. Evanston Township HS, Evanston, IL
  48. Robby Marcs. Rickards HS, Tallahassee, FL
  49. Beth Bryden. Center for Arts & Sciences, Saginaw, MI
  50. Jessica Wahlman. Red Bud HS, Red Bud, IL
  51. Michael Satchfield. Marine City HS, Marine City, MI
  52. Rebecca Mitchell. Heritage Prep, Orlando, FL
  53. Josh Weekley. Heritage Prep, Orlando, FL
  54. Paul Kim. Heritage Prep, Orlando, FL