More Fun with Prime Numbers

MOOC
Language
English
Duration
11 months
Certificate
Certification paid
Course by EdX
What will you learn?
Basic Properties of Prime Numbers
Modular Arithmetic and Fermat's Little Theorem
Laws of Prime Numbers
Applications of Prime Numbers to Cryptography
Open Problems and Recent Advances
About the course

2, 3, 5, 7, 11, 13, 17, 19, 23, 29 are all prime numbers and they hold special significance. Mathematicians from ancient times to the 21st century have been working on prime numbers, as they're one of the most mysterious and important subjects in mathematics.

In this course, I will present several attractive topics on prime numbers. You will learn basic concepts of prime numbers from the beginning. They obey mysterious laws. Some laws are easily verified by hand, some laws were discovered 100 years ago, and some laws are yet to be discovered. Surprisingly, prime numbers are also applied to cryptography today. You will also learn how to construct practical cryptosystems using prime numbers.

The original course "Fun with Prime Numbers" was first offered in 2015 and attracted many students. This course will be offered as its refined and upgraded version. All the lecture videos will be renewed, and a new topic on cryptography will be added so as to enliven and satisfy even the students who took the previous course.

No previous knowledge of prime numbers is required in this course. Calculating with a pen and paper, you will explore the mysterious world of prime numbers. The course is designed to encourage you to attack unsolved problems, and hopefully, discover new laws of your own in the future!

Program
More Fun with Prime Numbers
Take a deep dive intoPrime Numbers - one of the most mysterious and important subjects in mathematics!
Lecturers
Tetsushi Ito
Tetsushi Ito
Platform
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All the courses on this platform are free of charge. The authors are top universities and corporations that seek to maintain high quality standards. If you do not meet a deadline for assignments, you lose points. Like on other platforms, the videos in which the theory is explained are followed by practical assignments. Courses are available in English, Chinese, Spanish, French and Hindi.
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