**Properties of elements produced in a product of two wings & Analysis of Generalized Fermat Number by N-equation**

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Debajit Das

Debajit Das

Natural Equation or simply N-equation is nothing but the systematic arrangement of all Pythagorean triplets, details of which was first published in August edition 2013 of this journal. Further developments of this N-equation took place intermittently with respect to its different properties and proof of different conjectures in Number Theory and were published in this journal in several bouts. Now this paper mainly contains the properties of four elements in an equality of two prime wings produced by the product of two prime wings and the analysis of Generalized Fermat Number to prove its composite nature with the help of N-equation. It also includes some special functions of composite nature and divisibility property of a prime number.