Chinese Remainder Theorem



Find the two smallest counting numbers that will each have the remainders 2, 3, and 2 when divided by 3, 5, and 7 respectively.




Correct Solutions:

  1. Yona Levine. Lehava, Kedumim, Israel
  2. Xingji Zheng. Abby Senior SS, Abbotsford, BC, Canada
  3. Michael Moyer. The Way Home School, Carlisle, PA
  4. Bella Voldman. Brookline HS, Brookline, MA
  5. Stephan Wild. BSZ 3, Leipzig, Germany
  6. Shu Duan. Ecole Marie-Esther, Shippagan, New Brunswick, Canada
  7. Lisa Goliber. Spalding Catholic, Granville, IA
  8. Edgar Pantoja. Carteret HS, Carteret, NJ
  9. Wojciech Lewkowicz. Lemont HS, Lemont, IL
  10. Amanda Vicary. Farmington HS, Farmington, IL
  11. Paul Pollack. Gulf HS, New Port Richey, FL
  12. Gregory Winston. O'Neill CVI, Oshawa, Ontario, Canada
  13. David Sorani. Shaare HS, Brooklyn, NY
  14. Ido Yariv. Gan-Nachum School, Rishon LeZion, Israel
  15. Kenny Ho. Gordon Graydon SS, Mississauga, Ontario, Canada
  16. Katie Dawson. Newnan HS, Newnan, GA
  17. Amit Sahasrabudhe. TL Kennedy, Mississauga, Ontario, Canada
  18. Sameer Akhtar. TL Kennedy, Mississauga, Ontario, Canada
  19. Fang Yi Liu. South Hills HS, Covina, CA
  20. Scott Wessels Granite Hills HS, El Cajon, CA
  21. Michael Gough. Walkersville HS, Walkersville, MD
  22. Melvin Lee. Long Beach Polytech HS, Long Beach, CA
  23. Amélie Plante. Petit Séminaire de Québec, QC, Canada
  24. Mark Thomas. Norton Knatchbull School, Ashford, Kent, England
  25. Leonardo Rodriguez Eula. Facultad de Ingenieria, Montevideo, Uruguay
  26. Roque Teixeira. João de Araújo Correia, Peso da Régua, Portugal
  27. Panayiotis Stavrinides. Lykeio Acropolis, Nicosia, Cyprus
  28. Daniel Chong. Christchurch Boys' HS, Avonhead, New Zealand
  29. Jacqueline Sin. Stuartholme School, Toowong, Australia
  30. Lisa Gardner, Boyette Spring ES, Riverview, FL
  31. Sorin Ionescu. Ecole Secondaire Dorval, Dorval, Quebec, Canada
  32. Justin Lam. College Park HS, Pleasant Hill, CA
  33. Dylan Leigh. Bunbury Senior HS, Bunbury, Western Australia, Australia
  34. Beth Wilson. Berkner HS, Richardson, TX
  35. Juki Wirawan Tantra. SMAK 1, Jakarta, Indonesia
  36. Khem Veasna. Revere HS, Revere, MA
  37. Jeson Patel. Westview Centennial SS, North York, Ontario, Canada
  38. Hannah Gordon. Tracy ES, Easton, PA
  39. Stephen Bondy. Sandwich SS, LaSalle, Ontario Canada
  40. Amanda Vanlandingham. Geneva HS, Geneva, AL
  41. Tomohiro Itaya. Toyone JHS, Aichi, Japan
  42. Ozgur Tuncer. Ankara Ataturk Anatolian HS, Ankara, Turkey
  43. Tamer Yukselturk. Ankara Ataturk Anatolian HS, Ankara, Turkey
  44. Richard Strand. Norton Knatchbull School, Ashford, Kent, England
  45. Bruce Chou. Spruce Creek HS, Port Orange, FL
  46. Matthew Prado. Strake Jesuit, Houston, TX
  47. Dustin Karels. Ortonville HS, Ortonville, MN
  48. Brad Greer. Westside HS, Macon, GA
  49. Aaron Siegel. Francis Lewis HS, Fresh Meadows, NY
  50. Ryan DeLapp, KVHS, Lake Isabella, CA
  51. Ben Campbell. Nepean HS, Ottawa, Ontario, Canada
  52. Simon Bridgland. The Norton Knatchbull School, Ashford, Kent, England
  53. Nasser Demir. American School Of Kuwait, Hawalli, Kuwait
  54. Scott Fraser. Frankston HS, Frankston Victoria, Australia
  55. Chris Ray. Westlake HS, Westlake Village, CA
  56. Joshua Snyder. Northeast HS, Lincoln, NE
  57. Joshua Snyder. Northeast HS, Lincoln, NE
  58. Duwayne Valentine. Emery C.I., Toronto, Ontario, Canada
  59. Mitch Hyatt. Charlotte Country DS, Charlotte, NC
  60. Jon McAlister. Langham Creek HS, Houston, TX
  61. Gonzalo Merayo. CBA, Buenos Aires, Argentina
  62. Vu Tran. La Quinta HS, Westminster, CA
  63. Chingming Lie. SMAK 1, Jakarta, Indonesia
  64. Peter Ward. All Saints' College, Perth, Western Australia, Australia
  65. Assaf Romm. Brener HS, Asseret, Israel
  66. Tao Tao Chen. Ellis ES, Sunnyvale, CA
  67. Amanda Lau. Oberthur PS, Perth, WA, Australia
  68. Carla Wilhoit. Appomattox County HS, Appomattox, VA
  69. Brandon Lau, Oberthur PS, Perth, WA, Australia




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