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Problem of the Month – January 2017

Determine all triples (m, n, p) where m, n are positive integers and p is a prime number such that

is a perfect square.

 

Correct Solutions by,

  • Toshihiro Shimizu Kawasaki, Japan
  • Tomas Jurik Kosice, Slovakia
  • Hasan Zubeyr Demir, Özel Ankara Çağlayan Fen Lisesi, Ankara, Turkey
  • Vedat Deveci, DMO, İstanbul, Turkey
  • Ivane Gokadze, L.T.D. School 1, Georgia
  • Gocha Gokadze, L.T.D. School 1, Georgia
  • Mehmet Ali Yıldırım, Florya Final Anadolu Lisesi, İstanbul, Turkey
  • Vivek Mehra Mumbai, India
  • Nail Turhan Yahyali, Mustafa Koyuncu Fen Lisesi, Kayseri, Turkey
  • Eyyüp Bahtiyar Çekmelelioğlu
  • Fakih Karademir Utrecht, Holland
  • Magnus Jakobsson Lund, Sweden
  • İbrahim Suat Evren, Denizli, Turkey
  • Roger Bengtsson Lund, Sweden
  • Benjamin Edun ODTÜ, Ankara, Turkey
  • Abdulkadir Tanrıverdi, Eskişehir, Turkey