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PARTITIONS OF EVEN NUMBERS AND SOME APPLICATIONS
Pages : [115] - [131]
Received : Received July 12, 2017
Abstract
This article presents the concept of the Partitioned Matrix of an even numbers 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 an odd composite in any order (Mw). One of the merits of this study is the set of formulas that completes the fundamental equation of the partitions of an even number All the proposed formulas use integral logarithms (Li) and are easily calculable.
Keywords
Goldbach partitions, partitions of composite numbers, mixed partitions, partitioned matrix of an even numbers, logarithmic integral.