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Problem of the Month – October 2024

We say that a positive integer k is nice if there is a positive integer n having exactly k positive
divisors d1, . . . , dk such that didj (mod k + 1) for all i ≠ j. Find all nice numbers

 

Correct Solutions by,

  • Toshihiro Shimizu Kawasaki, Japan
  • Emre Bektaş Boğaziçi University
  • Taner Erdem Akyıldız Özel İzmir Bahçeşehir 50.Yıl Fen ve Teknoloji Lisesi
  • Mehmet Çağatay Ünlü İstanbul Atatürk Fen Lisesi
  • Mümtaz Ulaş Keskin Erciyez University
  • Mertcan Duru Özel İzmir Bahçeşehir 50.Yıl Fen ve Teknoloji Lisesi
  • Hamza Akdeniz Bilkent University
  • Roger Bengtsson Lund, Sweden
  • Halit İsa Koç İstanbul Technical University
  • Magnus Jakobsson Lund, Sweden
  • Choi Min Kyu South Korea
  • Hamza Alaberdiyew
  • Arda Karahan Trabzon Fen Lisesi

Solution: 2410a.pdf (bilkent.edu.tr)