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Arithmetic Progression

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Find three integers in arithmetic progression (with equal differences between them) whose product is a prime number.

June 13, 2005
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Frank McGartland.  Saskatoon,  SK., Canada
  2. Brian Hetrick, UNH, Manchester, NH
  3. David Shi. JLS Middle School, Palo Alto, CA
  4. Timothy Yales. Westland, MI
  5. Adrian Atanasiu. Faculty of Mathematics and Computer Science, Bucharest
  6. Aristides Kyriakakis.  Thessaloniki.  Greece
  7. Patrick Mc Henry, Gloucester City Schools, Gloucester, MA
  8. Jerrold Greenberg.  New York, NY
  9. Betsy Price. Asheville Christian Academy, Asheville, NC
  10. Radu Ionescu. Montreal, Quebec, Canada
  11. Steve Byers. New York, NY 
  12. Nathan Burns. Lester B. Pearson School, Ottawa, ON
  13. Ravi Solanki.  Charles Boehm Middle School, Yardley, PA
  14. Mike Osterfoss. Colorado School of Mines, Golden, CO
  15. Phillip Ai. Warnsdorfer Elementary School, East Brunswick, NJ
  16. Mark Wintczak. Naperville, IL
  17. Nikita Kitaev. South Pasadena Middle School, South Pasadena, CA
  18. Anthony Pabillano. Flour Bluff Junior High School, Corpus Christi, TX
  19. Lisa Schechner. Schreiber HS, Port Washington, NY
  20. Jerome Cherry. NAIT. Edmonton, Alberta, Canada
  21. Omid Kohannim. UCLA, Los Angeles, CA
  22. William Chen. Harvest Park Middle, Pleasanton, CA
  23. Evan Durant. Dartmouth High School, Dartmouth, MA
  24. Drug Marata. Korenovsk, Russia
  25. H. Saumi Udayanganee. Godigamuwa, Maharagama, Sri Lanka
  26. Allamanis Miltiadis. Anatolia High School, Thessaloniki, Greece
  27. Brian Cooper. Ohio University, Athens OH
  28. Tim Poe, Austin, TX
  29. Mr. Cooper's Class. Mt. Tom Academy H.S., Holyoke, MA
  30. Maura MacKenzie. Sheffield, MA
  31. Tanvi Rastogi. Bridgewater-Raritan High School, Bridgewater, NJ
  32. Ms. Rothermel. Rye Junior High, Rye, NH
  33. Austin Rosel. Austin, TX
  34. Norman Peng. Lowell High School, San Francisco, CA
  35. Bob Mitchell. Normal, IL
  36. Jing Liu. Dartmouth High School, Dartmouth, MA
  37. Hannah Kan. South Pasadena Middle School, South Pasadena, CA
  38. David Friedman. Sippican Elementary School, Marion, MA
  39. Matthew Fong. Hopkins Jr. High, Fremont, CA
  40. Kahle McDonough. Rye Junior High, Rye, NH
  41. Diane Kristiansen. Westwood College, Dallas, TX
  42. Kristin Kennedy. Holton, KS
  43. Aquil Virani. Southridge Senior School, Surrey, BC, Canada
  44. Kelsey Martin. Southridge Senior School, Surrey, BC, Canada
  45. Gary Acosta. Arlington, TX
  46. Alireza  Rezvani Faezifar. Tehran, Iran
  47. Hannah Sowalski. Hebrew Academy, Bloomfield, CT
  48. Lusha Zhou. RHS, Rmd, BC, Canada
  49. Elizabeth Stachowicz. Chelmsford High School, Chelmsford, MA
  50. Jan Vonk. Sint-Jozefscollege Aalst, Belgium
  51. Panu Korpela. Naenae Intermediate, Lower Hutt, New Zealand
  52. Roland Vyncke. Brugge, Belgium
  53. Danny Avila. Dartmouth High School, Dartmouth, MA
  54. Richard Morris. Chillicothe, OH
  55. John Salisbury. Clatskanie, OR
  56. Albert Zhou.  Scott Middle School, Lincoln, NE
  57. Ryan Lang. Dartmouth High School, Dartmouth, MA
  58. Sarina Amin. Lake Mary High School, Lake  Mary, FL
  59. Harrison Jones. Britt David Elementary, Columbus, GA
  60. Craig Sidell. New York, NY
  57% of respondents successfully answered this problem.


 



 Last Updated On: 11/16/05

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