Training Manual . /- M. : LIBROCOM Book House, 2012. - 224 s. ISBN 978-5-397-02608-6 . This manual contains an extensive collection of exercises and tasks for all classical sections of arithmetic and number theory (divisibility theory ,). prime and composite numbers, Arithmetic Functions , Comparison of , Fermat's Small Theorem and Euler's Theorem , comparisons and systems of comparisons with unknown value, quadratic deductions and the Legendre symbol, Indicators, Roots and Indexes , chain fractions and others. ). Each paragraph contains examples of problem solving, exercises similar to the examples considered, and tasks for independent decision. In addition, the manual presents the cycles of tasks for control and laboratory work, as well as standard tasks for checking the assimilation of the mandatory minimum content of the discipline. The manual is written on the basis of lectures , which for many years are read to students of the mathematical faculty of the Moscow State Pedagogical University , and can be used for conducting seminars and organizing independent work of students of higher educational institutions (primarily pedagogical universities) in the discipline "Theory of Numbers" , as well as for conducting elective courses on arithmetic subjects and intensifying the teaching and research activities of high school students , the Natural and Mathematical Profile of Education ; it will be useful for all readers interested in arithmetic and elementary number theory.