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Numbers: Problems Involving Integers

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Methods of Solving Number Theory Problems
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Abstract

Many important properties of integers were established in ancient times. In Greece, the Pythagorean school (6\(^{th}\) century BC) studied the divisibility of numbers and considered various categories of numbers such as the primes, composite, perfect, and amicable. his Elements, Euclid (3\(^{rd}\) century BC) gives an algorithm for determining the greatest common divisor of two numbers, outlines the main properties of divisibility of integers, and proves the theorem that primes form an infinite set.

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Correspondence to Ellina Grigorieva .

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Grigorieva, E. (2018). Numbers: Problems Involving Integers. In: Methods of Solving Number Theory Problems. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-90915-8_1

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