Abstract
We study the composite odd numbers via their indices with a function ranging through all of them. This mapping allows us to demonstrate that the set of these indices are described with two families of finite sequences with arithmetic differences. Composite odd numbers are then shown to be obtained as differences of two squares. We then conjecture odd primes do not appear randomly.

Keywords
composite odd numbers; indices; sequences with arithmetic differences; finite sequence; differences of two squares; odd primes; not appear randomly; reference points; remarkable index

Cite this paper
WOLF Marc, WOLF François, Representation theorem of composite odd numbers indices , SCIREA Journal of Mathematics. Volume 3, Issue 3, June 2018 | PP. 106-117.

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