Incomparable integer quintuple in arithmetic progression with prominent condition
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Abstract
In this document, the incomparable integer quintuple (p;q; r; s; t) in such a way that the components with the
renowned property in algebra named as arithmetic progression with the postulation that the addition of three
consecutive terms shows a perfect square is established.
Keywords:
Diophantine m-tuple, quintuple in arithmetic progressionMathematics Subject Classification:
Mathematics- Pages: 608-611
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
Andre Weil, Number Theory: An Approach through History, From Hammurapito to Legendre, Birkahsuser, Boston, 1987.
I.G.Bashmakova (ed.), Diophantus of Alexandria, Arithmetic's and the Book of Polygonal Numbers, Nauka, Moscow, 1974.
A.F. Beardon, and M.N.Deshpande, Diophantine Triplets, The Mathematical Gazene, 86(2002), 258-260.
L.E.Dickson, History of the theory of Numbers, Vol.2, Chelsea Publishing House, New York, 1966, 513-520.
M.N.Deshpande, Families of Diophantine Triplets, Bulletin of the Marathwada Marhematical Society, 4(2003), 19-21.
M.N.Deshpande, One Interesting Family of Diophantine Triplets, Intemet. J. Marh. d.Sci.Tech. 33(2002), 253-256. 17) M. A. Gopalan, V. Geetha, V. Kiruthika, On Two Special Integer Triples in Arithmetic Progression, Open Journal of Applied & Theoretical Mathematics (OJATM), 2(1)(2016), 01-07.
M. A. Gopalan, V. Sangeetha, An Interesting Diophantine Problem, Open Journal of Applied & Theorerical Mathematics (OJATM), 2(2)(2016), 42-47.
K. Meena, S. Vidhyalakshmi, M. A. Gopalan, S. Aarthy Thangam, Special Integer Quadruple in Arithmetic Progression, International Joumal of Recent Trends in Engineering & Research, 3(5)(2017), $108-112$.
S. Vidhyalakshmi, A. Kavitha. M. A. Gopalan, Diophantine Problem on Integer Triple in Arithmetic Progression, Transactions on Mathematies TM, 2(2)(2016), 36-42.
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