Can anyone suggest me some good book that has problems on classical elementary number theory with solutions?
2026-05-01 10:37:01.1777631821
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Number theory problem book
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Number Theory: Structures, Examples, and Problems Titu Andreescu, Dorin Andrica
Problem-Solving and Selected Topics in Number Theory, by Michael Th. Rassias
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The book 1001 Problems in Classical Number Theory by de Koninck and Mercier fits your requirements.
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Elementary Number Theory with Applications by Thomas Koshy have solutions to the odd-numbered exercises. The Solutions Manual for Students contains solutions to the even-numbered.
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The book Elementary number theory and its applications by Kenneth Rosen is the book you are looking for.
Its solutions are available online.
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I recommend Number Theory: Step by Step published in Dec. 2020 by Kuldeep Singh for two reasons. It provides solutions online to EVERY exercise. It uses color.
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The book by Kuldeep Singh Number theory step by step is ideally for self-study as it provides complete solutions to all problems and video topics with subtitles at the following URL: https://maths-for-all.co.uk/number-theory/
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A. Adler, J.E. Coury: The Theory of Numbers. A text and the source book of problems, Jones and Barlett Publishers, 1995.
J. Roberts: Elementary Number Theory. A Problem Oriented Approach, MIT Press, 1977.
W. Sierpinski: 250 Problems in Elementary Number Theory, Elsevier, PWN, 1970.
I.M. Vinogradov: Elements of Number Theory, Dover, 1954.
You may take a look also at this list:
I enjoyed A Classical Introduction to Modern Number Theory by Ireland & Rosen. The first five chapters cover elementary number theory and there are hints to selected exercises.