Abstract. We search for three distinct polynomials with integer coefficients such that the product of any two members of the set added with their sum and increased by a non-zero integer (or polynomial with integer coefficients) is a perfect square.Introduction:
Abstract:We search for the ranks of Triangular, Pentagonal, Heptagonal, Nanogonal and Tridecagonal numbers such that each of these M-gonal number -2= a perfect square and the ranks of Pentagonal and Heptagonal such that each of these M-gonal number + 2= a perfect square.
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