Partitions of even numbers

This article presents the concept of the Partitioned Matrix of even numbers w great equal to 4 and a set of formulas for determining the values of the three possible types of partition: odd composite numbers (Cw), prime numbers or Goldbach partitions (Gw) and partitions of mixed numbers, i.e., a prime plus and odd composite in any order (Mw). The results of the calculated formulas for 10 squares less w less equal then 10 to the twenty two were compared with reference values determined probabilistically as examples. One of the merits of this study is the set of formulas that completes the fundamental equation of the partitions of an even number w great equal to 4. All the proposed formulas use natural logarithms and are easily calculable. It should be highlighted that the values provided by Gw are averages and are always referred to a set of three sequential even numbers w of types w2, w1 and w0.