Submitted:
17 February 2019
Posted:
19 February 2019
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Abstract
We examine the extensions of the basic arithmetical operations of addition and multiplication on the natural numbers into higher-rank hyper-operations also on the natural numbers. We go on to de fine the concepts of prime and composite numbers under these hyper-operations and derive some results about factorisation, resulting in fundamental theorems analogous to the Fundamental Theorem of Arithmetic.
Keywords:
Hyper-Operations
; arithmetical operations
; natural numbers
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