We construct galaxies of sequences of positive integers which are solutions of the equation x^2 + y^2 = z^2. We introduce examples of galaxies. The characterization of these solutions allows us to show that the equation x^n + y^n = z^n has no integer solutions for n>2. We introduce the representation of a galaxy of sequences of positive integers. This representation allows us to predict the structure, laws of the universe and life in every planet system of every galaxy of the universe.