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Problem of the Month – April 2022

For a polynomial Q with integer coefficient and prime p, we say that Q excludes p if there
is no integer n for which p | Q(n). Does there exists a polynomial with integer coefficients
having no rational roots which excludes exactly one prime?

 

Correct Solutions by,

  • Toshihiro Shimizu Kawasaki, Japonya
  • Mustafa Burak Topal, Boğaziçi Üniversitesi
  • Deniz Can Karaçelebi, Çiçekliköy 50. Yıl Fen ve Teknoloji Lisesi
  • Şevket Onur Yilmaz, Kabataş Erkek Lisesi
  • Lujain Qazmanny, Ürdün
  • Roger Bengtsson Lund, İsveç

 

Çözümü: http://www.fen.bilkent.edu.tr/~cvmath/Problem/2204a.pdf