A note on the products ((m+1)(2)+1)((m+2)(2)+1) ... (n(2)+1) and ((m+1)(3)+1)((m+2)(3)+1) ... (n(3)+1)


Gurel E.

MATHEMATICAL COMMUNICATIONS, cilt.21, ss.109-114, 2016 (SCI İndekslerine Giren Dergi) identifier

  • Cilt numarası: 21 Konu: 1
  • Basım Tarihi: 2016
  • Dergi Adı: MATHEMATICAL COMMUNICATIONS
  • Sayfa Sayıları: ss.109-114

Özet

We prove that for any positive integer m there exists a positive real number N-m such that whenever the integer n >= m neither the product P-m(n) = ((m + 1)(2) + 1) ((m + 2)(2) + 1) ... (n(2) + 1) nor the product Q(m)(n) = ((m + 1)(3) + 1)((m + 2)(3) + 1) ... (n(3) + 1) is a square.