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Dive into the fascinating world of numbers with our Number Theory course! Uncover the secrets of prime numbers, divisibility, and more. Join us for an enriching exploration that enhances your mathematical prowess. Enrol now for a captivating journey through the heart of number theory!

£39.99 inc. VAT
Course Access

1 year

Last Updated

December 22, 2023

Students Enrolled


Course Duration

8 hours, 26 minutes

Course Instructor
Introducing Number Theory, often known as "Higher Arithmetics" or the "Queen of Mathematics." You will learn and be able to grasp the foundational concepts of Number Theory with this course.
The study of numerical qualities, connections, and patterns is known as number theory. Mathematicians study numbers in order to uncover intriguing and surprising mathematical relationships and features. This process involves both theoretical and experimental components. You will study fundamental subjects that are at the core of computer science, mathematics, and many other fields in this course as well as some of those amazing mathematical relationships and features.

You will have the following skills after completing this course:

  • Have a thorough understanding of Number Theory.
  • Know different Numbers, Number Sets, Patterns, and Properties.
  • Know different Number Bases like Binary and Hexadecimal Base and how to do Arithmetics (+, -, x, ÷) in those bases.
  • Master Factorials, Double Factorials, Factorions, and many other related topics.
  • Master Divisibility, Divisibility Rules, Euclidean Division Theorem, and many other topics.
  • Learn Primes, Prime Powers, Factorial Primes, and Euclid's First Theorem.
  • Know what Fundamental Theorem of Arithmetic is.
  • Master Modular Arithmetics.
  • Learn about Finite, Infinite, and Periodic Continued Fractions.
  • Explore Public Key Cryptography, Diffie-Hellman Protocol, and RSA Encryption.

Who will benefit from this course?

A Number Theory course can benefit various groups of people, including:
  1. Mathematics Students:Undergraduate and graduate students studying mathematics will find Number Theory essential to their curriculum. It provides a deep understanding of the properties and relationships of integers and can serve as a foundation for more advanced mathematical studies.
  2. Computer Scientists:Number Theory has significant applications in computer science, especially in areas like cryptography and algorithms. Understanding number theory can be crucial for designing secure cryptographic systems and efficient algorithms.
  3. Cryptographers:Professionals working in the field of cryptography benefit greatly from a solid understanding of Number Theory. Many cryptographic algorithms, including those used in secure communication and data protection, are based on mathematical principles from Number Theory.
  4. Teachers and Educators:Teachers can use Number Theory to enhance their mathematics curriculum and provide students with a deeper appreciation for the subject. The concepts in Number Theory can be engaging and intellectually stimulating for students.
  5. Researchers:Mathematicians and researchers exploring various fields may find Number Theory relevant to their work. It has connections to other areas of mathematics, and its principles often appear in unexpected places.
  6. Problem Solvers:Number Theory often involves solving challenging mathematical problems, making it appealing to individuals who enjoy problem-solving and critical thinking. It can be a rewarding subject for those who appreciate elegant and logical solutions.
  7. Amateur Mathematicians:Enthusiasts who enjoy exploring mathematical concepts and solving problems can find Number Theory accessible and intellectually satisfying. Many aspects of Number Theory are approachable without requiring an extensive mathematical background.
  8. STEM Enthusiasts:Individuals interested in science, technology, engineering, and mathematics (STEM) fields can benefit from gaining a strong foundation in Number Theory. It provides insights into the fundamental properties of numbers and their applications.
  9. Anyone Interested in Math Exploration:Number Theory offers intriguing puzzles, theorems, and concepts that can be appealing to anyone with a general interest in mathematics. It allows for exploration and discovery beyond standard curriculum.
Overall, a Number Theory course can be valuable for a diverse range of individuals, from students pursuing academic degrees to professionals in various fields that involve mathematical reasoning and problem-solving.

Why Should You Take This Online Course?

  • Expertly Designed and Delivered by Industry Experts: Developed and delivered by MIRAN FATTAH - B.S. in Mathematics & Geophysics
  • Immediate Recognition with an Instant E-Certificate: After finishing our online course, you will receive an instant E-certificate. This certification acknowledges your dedication and successful course completion, allowing you to demonstrate your newly gained knowledge and skills to potential employers, colleagues, or clients. The E-certificate validates your accomplishments immediately, raising your professional standing.
  • Convenient Online Learning Experience: Because our course is entirely online, you may learn at your own pace and convenience. The course materials are accessible from anywhere and anytime, making it ideal for people with hectic schedules. The curriculum is delivered via captivating videos and extensive reading materials, creating a dynamic and interactive learning experience.
  • Self-paced Learning for Maximum Progress: We recognise that everyone has various learning styles and time commitments. As a result, our online course provides self-paced study. You can work through the course materials independently, allowing for a more personalised learning experience. Our course supports your individual learning preferences, whether you like to immerse yourself in the information or take it step by step.
  • Laptop, tablet, and smartphone compatibility: Our online course is device-compatible to improve accessibility. Whether you choose a laptop, tablet, or smartphone, you may easily access and interact with the course contents. This adaptability allows you to learn on the go, incorporating your studies into your everyday routine and maximising your learning possibilities.

Career prospects after completing this course:

Completing a course in Number Theory can open up various career prospects, especially in fields that value strong analytical and problem-solving skills. Here are some potential career paths:
  1. Academic Researcher:A strong foundation in Number Theory can lead to a career in academic research. Mathematicians specialising in Number Theory often work at universities or research institutions, exploring new theorems, solving mathematical problems, and contributing to the field's advancement.
  2. University Professor:With an advanced understanding of Number Theory, individuals may pursue a career as a university professor, teaching mathematics courses at the undergraduate and graduate levels. This role often involves conducting research and publishing scholarly articles.
  3. Cryptographer:Cryptographers use mathematical principles, including those from Number Theory, to design secure cryptographic systems. This is particularly important in fields such as cybersecurity, where professionals work on developing algorithms to protect sensitive information.
  4. Data Scientist:Data scientists often encounter mathematical challenges, and a background in Number Theory can contribute to their problem-solving skills. The ability to analyse and interpret numerical data is valuable in various industries, including finance, healthcare, and technology.
  5. Software Developer/Algorithm Designer:Understanding Number Theory can be beneficial for individuals working in software development, especially those involved in designing algorithms. This knowledge can contribute to creating efficient algorithms for tasks such as data processing, optimisation, and simulation.
  6. Actuary:Actuaries use mathematical and statistical methods to assess financial risks. Number Theory knowledge can be valuable in certain actuarial applications, particularly in areas related to modeling and analysing financial data.
  7. Mathematics Consultant:Individuals with expertise in Number Theory may work as consultants, providing mathematical insights and solutions to organisations facing complex problems. This can apply to a range of industries, including finance, technology, and manufacturing.
  8. Educator/Teacher:Teaching mathematics at the high school or college level is another option. A background in Number Theory can make individuals well-suited for educating students in advanced mathematical concepts.
  9. Quantitative Analyst:In finance, quantitative analysts use mathematical models and statistical techniques to analyse financial markets and make informed investment decisions. Understanding Number Theory can be advantageous in developing and interpreting these models.
  10. Algorithmic Trading:Professionals involved in algorithmic trading, where computer algorithms execute financial transactions, may benefit from a strong mathematical background, including knowledge of Number Theory.
  11. Operations Research Analyst:Operations research analysts use mathematical and analytical methods to solve complex problems related to decision-making, optimisation, and resource allocation. Number Theory can contribute to their problem-solving toolkit.
Ultimately, the career prospects after completing a Number Theory course depend on the individual's interests, skills, and the specific applications they find appealing. The analytical and problem-solving skills developed in the course can be applied across a diverse range of industries and professions.

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Course Content

    • Introduction 00:07:00
    • What is Number Theory? 00:07:00
    • Number Sets 00:09:00
    • Number Patterns 00:10:00
    • Even & Odd Numbers 00:11:00
    • Number Properties 00:10:00
    • Proofs 00:11:00
    • Number Bases 00:11:00
    • Binary Base 00:12:00
    • Binary Arithmetics 00:15:00
    • Hexadecimal Base 00:13:00
    • Hexadecimal Arithmetics 00:14:00
    • Factorial 00:05:00
    • Double Factorial 00:09:00
    • Superfactorial 00:02:00
    • Exponential Factorial 00:03:00
    • Factorion 00:05:00
    • Stirling’s Formula 00:03:00
    • Number of Digits 00:02:00
    • Divisibility 00:07:00
    • Divisibility Rules 00:04:00
    • Euclidean Division Theorem 00:08:00
    • GCD & LCM 00:11:00
    • Bézout’s Identity 00:08:00
    • Perfect Numbers 00:04:00
    • Practical Numbers 00:05:00
    • Amicable Numbers 00:04:00
    • Fibonacci Sequence 00:09:00
    • Tribonacci Sequence 00:05:00
    • Golden Ratio 00:11:00
    • Prime Numbers 00:09:00
    • Fundamental Theorem of Arithmetics (FTA) 00:10:00
    • Almost Primes 00:07:00
    • Prime Powers 00:02:00
    • Factorial Prime 00:03:00
    • Euclid’s Theorems 00:09:00
    • The Prime Number Theorem 00:04:00
    • Unsolved Problems 00:06:00
    • NumberEmpire 00:07:00
    • Modular Arithmetics 00:09:00
    • Congruence 00:13:00
    • Congruence Class 00:12:00
    • Residue Systems 00:04:00
    • Quadratic Residues 00:04:00
    • Moduler Operations 00:06:00
    • Inverses 00:07:00
    • Modular Exponentiation 00:10:00
    • Wilson’s Theorem 00:05:00
    • Chines Remainder Theorem 00:09:00
    • Fermat’s Little Theorem 00:05:00
    • Euler’s Totient Function 00:07:00
    • Euler-Fermat Theorem 00:04:00
    • Continued Fractions 00:08:00
    • Negative Continued Fractions 00:11:00
    • Finite Continued Fractions 00:14:00
    • Infinite Continued Fractions 00:17:00
    • Periodic Continued Fractions 00:09:00
    • Convergent 00:12:00
    • Cryptography 00:09:00
    • Early Ciphers 00:11:00
    • Public Key Cryptography 00:13:00
    • RSA Encryption 00:11:00
    • Diffie-Hellman Protocol 00:04:00
    • Get Your Certificate & Transcript 00:00:00

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