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On the Diophantine Equation ax +(a +2)y = z2 Where a ≡ 5 (mod 42)

Rakporn Dokchann

Rakporn Dokchann

Department of Mathematics, Faculty of Science Burapha UniversityChon buri, Thailand
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Dokchann, Rakporn
 and 
Apisit Pakapongpun

Apisit Pakapongpun

  • Department of Mathematics, Faculty of Science Burapha UniversityChon buri, Thailand
  • Centre of Excellence in Mathematics, CHEBangkok, Thailand
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Pakapongpun, Apisit
  
Dec 31, 2020
On the Diophantine Equation ax +(a +2)y = z2 Where a ≡ 5 (mod 42)'s Cover Image
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Published Online: Dec 31, 2020
Page range: 39 - 42
Received: Oct 07, 2019
DOI: https://doi.org/10.2478/tmmp-2020-0030
Keywords
© 2020 Rakporn Dokchann et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we show that the Diophantine equation

ax +(a +2)y = z2,

where a ≡ 5 (mod 42) and a ∈ ℕ has no solution in non-negative integers.

Language:
English
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Journal Subjects:
Mathematics, General Mathematics
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