Special Diophantine Triples Involving Square Pyramidal Numbers
C.Saranya1, B. Achya2
1C.Saranya, Assistant Professor, PG & Research Department of Mathematics, Cauvery College for Women, (Autonomous, (Affiliated to Bharathidasan University), Trichy
2B. Achya, PG student, PG & Research Department of Mathematics, Cauvery College for Women, (Autonomous, (Affiliated to Bharathidasan University), Trichy
Manuscript received on 30 September 2021 | Revised Manuscript received on 08 October 2021 | Manuscript Accepted on 15 October 2021 | Manuscript published on 30 October 2021 | PP: 27-29 | Volume-1 Issue-2, October 2021 | Retrieval Number:100.1/ijam.B1108101221 | DOI: 10.54105/ijam.B1108.101221
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Abstract: In this communication, we accomplish special Diophantine triples comprising of square pyramidal numbers such that the product of any two members of the set added by their sum and increased by a polynomial with integer coefficient is a perfect square.
Keywords: Special Diophantine Triples, Square Pyramidal Number, Perfect Square.
Scope of the Article: Number Theory