A collection of tasks on the arithmetic of integers. Bufeev S.V.

This manual presents tasks on the theory of numbers that are found in the options of the Unified State Exam and at Olympiads in mathematics. The manual appeared as a result of the author’s selection of tasks for conducting an elective course in arithmetic of integers in the Moscow Lyceum No. 1581 under the MSTU named after N.E. Bauman. The manual contains more than 650 tasks on the specified topic. The answers are given to all the tasks, to some - instructions, to the most difficult and typical solutions. The book can be used to organize elective courses and electives; It is designed for students of specialized physical and mathematical classes, listeners of preparatory courses and university applicants, teachers of mathematics and tutors, as well as everyone who loves, knows how to or wants to learn to solve interesting, non-standard and research mathematical problems.