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Claim

Fundamental Theorem of Composite Numbers

Abstract

Abstract: This paper presents a complete and non-overlapping partition of the composite numbers (OEIS A002808) into three mutually exclusive arithmetic subclasses: prime powers (OEIS A246547), squarefree composites (OEIS A120944), and mixed-power composites (OEIS A126706). This partition provides an algebraic framework for understanding the internal structure of composite numbers. The structural identity described here is referred to as the Fundamental Theorem of Composite Numbers (FTC). Keywords: composite numbers, prime powers, squarefree numbers, number partitions, multiplicative structure, OEIS sequences. 2020 Mathematics Subject Classification: 11A41, 11A25, 11B83.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green