Welcome to the Number Theory Topic section of our forum! Here, we delve into the fascinating world of mathematics and explore various concepts related to number theory. Whether you are a beginner or an advanced learner, this page aims to provide you with valuable insights and resources.
Basic Concepts of Number Theory
- Prime Numbers: Numbers greater than 1 that have no positive divisors other than 1 and themselves.
- Fermat's Little Theorem: A theorem stating that if ( p ) is a prime number and ( a ) is an integer not divisible by ( p ), then ( a^{p-1} \equiv 1 \mod p ).
- Euler's Totient Function: A function that counts the positive integers up to a given integer ( n ) that are relatively prime to ( n ).
Interesting Facts
- The number 7 is the only prime number that is the sum of the prime numbers 2 and 5.
- The number 6 is the smallest perfect number, which is a positive integer that is equal to the sum of its proper divisors.
- The number 8 is the smallest number that can be represented as the sum of three cubes in two different ways.
Further Reading
To delve deeper into the world of number theory, we recommend the following resources:
Prime Numbers