The document celebrates the 135th birth anniversary of Dr. Srinivasa Ramanujan and introduces number theory, a branch of mathematics focused on the properties of positive integers. It covers fundamental concepts such as greatest common divisors, least common multiples, and modular arithmetic, emphasizing their relevance and algorithms. It also mentions the fundamental theorem of arithmetic, stating that every positive integer can be expressed uniquely as a product of prime numbers.

1. NATIONAL MATHEMATICS DAY
Birth Anniversary of
SRINIVASA RAMANUJAN
(The Man Who Know Infinity)
Today We Celebrates 135th birth anniversary of Dr Ramanujan

2. PPT ON
NUMBER THEORY
SESSION :- 2019-21
BY
SONU KUMAR
M.Sc. Sem. – IV, DEPARTMENT OF MATHEMATICS

3. Introduction To Number Theory
 number theory, branch of mathematics concerned with properties of the positive integers
(1, 2, 3, ...). Sometimes called "higher arithmetic," it is among the oldest and most natural
of mathematical pursuits.
 The numbers involved in Number Theory are whole numbers, integers , and natural
numbers.
 It helps to study the relationship between different types of numbers such as prime
numbers, rational numbers, and algebraic integers.
 Number theory is considered to be simple and easy in general as compared to other high-
level math classes such as abstract algebra or real analysis. This concept is simple to
understand and work with.

4. Introduction to Number Theory
We will start with the basic principles of
 greatest common divisors,
 least common multiples, and
 modular arithmetic
And look at some relevant algorithms.

5. Primes
 A positive integer that is greater than 1 and is not prime is called
composite.
 The fundamental theorem of arithmetic:
 Every positive integer can be written uniquely as the product of primes,
where the prime factors are written in order of increasing size.