Collection of problems in arithmetic with integers. Olympic tasks and tasks from the profile section of the Unified State Examination in mathematics. Over 650 problems

This manual presents tasks on the theory of numbers that are found in the options for a single 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 options, it is designed for students of specialized physical and mathematical classes, students of preparatory courses and applicants of universities, teachers of mathematics and tutors, as well as everyone who loves, knows how or wants to learn to solve interesting, non-standard and research mathematics tasks