Modular Arithmetic and Primes

J. J. P. Veerman ()
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J. J. P. Veerman: Portland State University

Chapter Chapter 5 in Numbers from all Angles, 2026, pp 77-96 from Springer

Abstract: Abstract Modular arithmeticModular arithmetic concerns itself with computations involving addition and multiplication in $$\mathbb {Z}$$Z modulo b, denoted by $$\mathbb {Z}_b$$Zb, i.e. calculations with residues modulo b (Definition 1.8 ). We take b to be an integer greater than 1. The study of primes in $$\mathbb {N}$$N is related to the study of modular arithmetic (the properties of addition and multiplication in $$\mathbb {Z}_b$$Zb), because $$b\in \mathbb {N}$$b∈N is a prime if and only if there are no non-trivial divisors or, expressed differently, there is no $$1

Date: 2026
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DOI: 10.1007/978-3-032-10000-9_5

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