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Three Mean Primes

 

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Find three different two-digit prime numbers such that the average of all three prime numbers is also prime and the average of any two of the prime numbers is also prime.

May 1, 2006
Past Problems  
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E-mail Solutions to: pow@umassd.edu

   
  Correct Solutions 
 
  1. Magdy Essafty. Alexandria, Egypt
  2. Aristides Kyriakakis.  Thessaloniki.  Greece
  3. Farid Lian. Uniatlantico, Barranquilla-Colombia
  4. Allamanis Miltiadis, Thessaloniki, Greece
  5. Brian Hetrick. UNH, Durham NH
  6. Diane Kristiansen. Westwood College, Dallas, TX
  7. Nikki Tan. Southridge School, Surrey, BC, Canada
  8. Amanda Tu.  Southridge School, Surrey, BC, Canada
  9. Sagar Patel.  Brookstone School, Columbus, GA
  10. Kushal Palkhiwala
  11. Joume Bautik.  St Arthur Prep, Elbonia
  12. Tony Gu. Northwest Junior High School. Coralville, IA
  13. Wenjin Fan. Coralville, IA
  14. Shaan Arora.  Brookstone School, Columbus, GA
  15. Andrew Sailor. Osceola Middle School, Ocala, FL
  16. Svadharma Keerthi.  South Pasadena Middle School, CA
  17. Iver Meng. South Pasadena Middle School, South Pasadena, CA
  18. Sarah Chen. Marie Curie Middle School, New York, NY
  19. Nancy Huynh. Everett, MA
  20. Wenlin Fan. Mountain Top, PA
  21. CJ Magbual. Saint Mary's School, Novaliches, Quezon City, Philippines
  22. Pat Costello. EKU, Richmond, KY
  23. Annelise Broussard: Creekwood Middle School, Kingwood, TX
  24. Adrian Atanasiu. Bucharest, Romania
  25. Michel Poulin. Collège Jean-Eudes, Montréal, Québec, Canada
  26. Eugene Roytman. New York, NY
  27. Anthony Pabillano. Flour Bluff High School, Corpus Christi, TX
  28. Kevin Temew. Davao Christian High School, Davao City, Philippines
  29. Kelly Temew. Davao Christian High School, Davao City, Philippines
  30. Kristy Chang. South Pasadena Middle School, South Pasadena, CA
  31. Roman Balas. Farmington Hills, MI
  32. Roland Vyncke. Bruges, Belgium
  33. Emil Lalov.Mathematical High School, Pleven, Bulgaria
  34. Lisa Schechner. Schreiber HS, Port Washington, NY
  35. Ben Gieske. Sauk Centre HS, Sauk Centre, MN
  36. Jerome Cherry. NAIT. Edmonton, Alberta, Canada
  37. Jason Wetherington. Brooksville, FL
  38. Daniel Senécal. Collège Jean-Eudes, Montréal, Québec, Canada
  39. Chris Maakal. Pretoria, South Africa
  40. Peter Moynahan. Rye Junior High, Rye, NH
  41. Hendrik Salomons.  Arapoti, Brazil
  42. Felicia Ratnaraj.  Webster Groves High School, St. louis, MO
  43. Slayton Gilmore.  Brookstone School, Columbus, GA
  44. Blake Hudson.  Brookstone School, Columbus, GA
  45. Sarah Chen. Marie Curie Middle School, New York, NY
  46. Nancy Huynh. Everett, MA
  47. Wenlin Fan. Mountain Top, PA
  48. CJ Magbual. Saint Mary's School, Novaliches, Quezon City, Philippines
  49. Pat Costello. EKU, Richmond, KY
  50. Annelise Broussard: Creekwood Middle School, Kingwood, TX
  51. Adrian Atanasiu. Bucharest, Romania
  52. Michel Poulin. Collège Jean-Eudes, Montréal, Québec, Canada
  53. Eugene Roytman. New York, NY
  54. Anthony Pabillano. Flour Bluff High School, Corpus Christi, TX
  55. Kevin Temew. Davao Christian High School, Davao City, Philippines
  56. Kelly Temew. Davao Christian High School, Davao City, Philippines
  57. Kristy Chang. South Pasadena Middle School, South Pasadena, CA
  58. Roman Balas. Farmington Hills, MI
  59. Roland Vyncke. Bruges, Belgium
  60. Emil Lalov.Mathematical High School, Pleven, Bulgaria
  61. Lisa Schechner. Schreiber HS, Port Washington, NY
  62. Ben Gieske. Sauk Centre HS, Sauk Centre, MN
  63. Jerome Cherry. NAIT. Edmonton, Alberta, Canada
  64. Jason Wetherington. Brooksville, FL
  65. Daniel Senécal. Collège Jean-Eudes, Montréal, Québec, Canada
  66. Chris Maakal. Pretoria, South Africa
  67. Peter Moynahan. Rye Junior High, Rye, NH
  68. Radu Ionescu. Montreal, Quebec, Canada
  69. Sarah Maldonado. Creekwood Middle School, Kingwood, TX
  70. Chad Birch.  Eastern Kentucky University, Richmond, KY
  71. Rakesh Geddam. India
  72. Phillip Ai.  Hammarskjold Middle School, East Brunswick, NJ
  73. Pratik.  Huntsville, AL
  74. Iman Pazirandeh. E.J. Sand Public School, Thornhill Ontario, Canada
  75. Brittany Cole.  Dartmouth High School, Dartmouth, MA
  76. Slayton Gilmore.  Brookstone School, Columbus, GA
  77. Max White, South Pasadena Middle School, South Pasadena, CA
  78. Don Miller.  Oregon City, Oregon
  79. Tiffany Chen.  South Pasadena Middle School, South Pasadena, CA
  80. Samuel Tweed.  Shelton, WA
  81. Brianna Loo. South Pasadena Middle School, South Pasadena CA
  82. Marius Damian. Braila, Romania
  83. Dan Dietz. Creekwood Middle School, Kingwood, TX
  84. Elizabeth.Creekwood Middle School. Kingwood, TX
  85. Ross Pacheco Hastings Middle School Fairhaven, MA
  86. Ken Tyburski. Chatham Hall Mathematics Faculty, Danville, VA
  87. Jennifer Sailor. Osceola Middle School, Ocala, FL
  88. Michelle Lam. South Pasadena Middle School, South Pasadena, CA
  89. Leong HoongHan. Bukit Mertajam, Penang, Malaysia
  90. Barrett Johannsen. Creekwood Middle School, Kingwood, TX
  91. Frank McGartland. Saskatoon, SK., Canada
  92. Aashrita Mangu. South Pasadena Middle School, South Pasadena, CA
  93. James McBean. Toronto, Canada
  94. Kyle Moon.  Forsyth Country Day School.  Winston-Salem, NC
  95. Lusha Zhou, Qingdao.
  96. Theja Lanka. Plano East Senior High, Plano, TX
  97. Janvi Wadiwala.
  98. Matthew Wong, South Pasadena middle school, South Pasadena, CA
  99. Rianna Jawa. Timber Grove Elementary, MD
  100. Erinn Grigsby. Fairview High School, Boulder, CO
  101. Adria Leduc.  Southridge School, Surrey, BC
  102. Danaly Veng. Collège Jean-Eudes, Montréal, Québec, Canada
 


 



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