This note, according to its content in the mathematical proceedings has been classified in two sections. The first one tackles with general form of even and odd triples and their exhaustive properties corresponding right triangles. The second one corresponds to nature and number of primitive triplets their associated statistics followed by graphs taken on uniform interval of natural numbers. In short, the second part is all about statistics of triplets on a range of interval of positive integers. It also shows salient features with some open conjectures.