May 1, 2024
Updated May 12, 2025
31 minute read
Prime numbers, at their core, are natural numbers greater than 1 that have no positive divisors other than 1 and themselves. Any natural number greater than 1 that is not prime is termed a composite number. For instance, the number 5 is prime because its only divisors are 1 and 5. Conversely, 4 is a composite number because it can be divided by 2, in addition to 1 and 4. Understanding prime numbers is fundamental to various fields, most notably in number theory and computer science, particularly in the realm of cryptography.
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Reading list
We've selected 12 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Prime Numbers.
Provides a comprehensive overview of the history, theory, and applications of prime numbers. It is suitable for a wide range of readers, from high school students to professionals in mathematics.
Provides an introduction to the Riemann Hypothesis and its connections to prime numbers, written by experts in the field. It is appropriate for graduate students and researchers in mathematics.
Focuses on the study of primes of the form x^2 + ny^2, which have applications in number theory and cryptography. It is适合for graduate students and researchers in mathematics.
Provides an overview of computational methods for studying prime numbers. It is suitable for advanced undergraduates and graduate students in mathematics.
This classic text provides a comprehensive overview of the prime number theorem, including its history, proofs, and applications. It is suitable for advanced undergraduates and graduate students in mathematics.
This textbook covers a wide range of topics in number theory, including prime numbers, modular arithmetic, and diophantine equations. It is appropriate for undergraduate students in mathematics.
Tells the story of Bernhard Riemann's work on the Riemann Hypothesis, one of the most important unsolved problems in mathematics. It is suitable for a general audience.
Provides an overview of the history and philosophy of mathematics, including a chapter on prime numbers. It is suitable for a general audience.
Provides an overview of the history and philosophy of mathematics, including a chapter on prime numbers. It is suitable for a general audience.
Explores the connections between logic, mathematics, music, and art. It includes a chapter on the Riemann Hypothesis, which major unsolved problem in mathematics. This book is suitable for a general audience.
Explores the connections between prime numbers and music, including the use of prime numbers in musical composition. It is suitable for a general audience.
This poem by Lewis Carroll tells the story of a group of people who go on a hunt for a creature called the Snark. The Snark is said to be a boojum, which type of prime number. is suitable for a general audience.
For more information about how these books relate to this course, visit:
OpenCourser.com/topic/b6ne8e/prime
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