An Introduction to Number Theory

Overview Students often struggle with understanding patterns in numbers, especially when topics like primes, modular arithmetic, and cryptography appear complex …

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Overview

Students often struggle with understanding patterns in numbers, especially when topics like primes, modular arithmetic, and cryptography appear complex and disconnected. Without a clear structure, number theory can feel overwhelming and difficult to apply in real problem-solving. This An Introduction to Number Theory course simplifies these concepts and builds step-by-step confidence. The An Introduction to Number Theory course helps you understand how numbers behave through divisibility rules, number bases, and factorial patterns. You will also explore advanced ideas such as modular arithmetic, continued fractions, and cryptography. The An Introduction to Number Theory course connects theory with logical problem-solving, making abstract ideas easier to follow. Whether you are studying mathematics or preparing for technical fields, this An Introduction to Number Theory course strengthens your reasoning skills and builds a strong foundation in analytical thinking.

Key Benefits Included

► Accredited by CPD
► Instant Access
► 24/7 Learning Assistance
► Self-paced learning and laptop, tablet, smartphone-friendly
► Fully online, interactive course with audio voiceover
► Developed by qualified professionals in the field

Sneak Peek

Learning Outcomes

► Understand fundamental concepts of number theory and number systems
► Apply divisibility rules and prime number concepts effectively
► Solve problems using modular arithmetic techniques
► Analyse number patterns using factorials and continued fractions
► Explore basic cryptography methods using mathematical principles

Who is This Course For?

► Mathematics students seeking stronger number theory foundations
► Computer science learners interested in algorithms and cryptography
► Beginners preparing for competitive exams in mathematics
► Learners improving logical and analytical thinking skills
► University applicants studying STEM-related subjects
► Anyone curious about mathematical patterns and structures

Certification

CPD Certification

After successfully completing the assessment of this course, you can apply for the CPD accredited certificates.
PDF certificate: £9.99
Hardcopy certificate: £15.99

Career Opportunities

► Data Analyst – £28,000 to £45,000 per year
► Cryptography Assistant – £35,000 to £60,000 per year
► Software Developer – £35,000 to £65,000 per year
► Mathematics Tutor – £22,000 to £40,000 per year
► Research Assistant (Maths) – £30,000 to £50,000 per year
► Algorithm Specialist – £40,000 to £70,000 per year

Course Curriculum

The course covers a wide range of essential topics, including:

Module 01: Introduction

Module 02: Basics of Number Theory

Module 03: Number Bases

Module 04: Factorials

Module 05: Divisibility

Module 06: Primes

Module 07: Modular Arithmetic

Module 08: Continued Fractions

Module 09: Cryptography

Excellent

4.7 Average - 2 Reviews

★ Reviews

The explanations made complex number theory topics very easy to follow.

Great structure and clear lessons. Modular arithmetic finally makes sense to me now.

Course Curriculum

Introduction
	What is Number Theory	00:08:00
Basics of Number Theory
	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
	Number Bases	00:12:00
	Binary Base	00:12:00
	Binary Arithmetics	00:15:00
	Hexadecimal Base	00:13:00
	Hexadecimal Arithmetics	00:14:00
Factorials
	Factorial	00:05:00
	Double Factorial	00:09:00
	Super Factorial	00:03:00
	Exponential Factorial	00:03:00
	Factorion	00:05:00
	Stirling’s Formula	00:03:00
	Number of Digits	00:03:00
Divisibility
	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
Primes
	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
	Number Empire	00:07:00
Modular Arithmetic
	Modular Arithmetics	00:09:00
	Congruence	00:13:00
	Congruence Class	00:12:00
	Residue Systems	00:04:00
	Quadratic Residues	00:04:00
	Modular Operations	00:06:00
	Inverses	00:07:00
	Modular Exponentiation	00:10:00
	Wilson’s Theorem	00:05:00
	Chinese 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
	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	00:10:00
	Convergent	00:12:00
Cryptography
	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
Resources
	Resource – An Introduction to Number Theory	00:00:00
Assignment
	Assignment – An Introduction to Number Theory	00:00:00