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★ Answer ★

Let's understand the concept first .

★ What are twin prime numbers ?

• Twin primes are pairs of primes of the type (n, n+2).

• Twin primes are two natural numbers the distance between is 2, and which are both prime numbers! {(n,m):n,m∈Prime; m = n+2; m>n }.

Example - { ( 3 ,5 ) , ( 5, 7 ) ······· }

So , Therefore ,

Twin primes between 1 and 50

• ( 2 , 3 )
• ( 5 , 7 )
• ( 11 , 13 )
• ( 17 , 19 )
• ( 29 , 31 )
• ( 41 43)

★ Composite Numbers ★

All the natural numbers except the prime numbers are called composite Numbers.

Examples :- { 4 , 6 , 8 , 10 ········ }

Hence ,

Five composite numbers less than 50.

• 4
• 6
• 8
• 9
• 10

Other composite Numbers less than 50 are - 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49.

★ Co - prime numbers ★

Two numbers are coprime if their highest common factor (or greatest common divisor) is 1.

For example - { (2,3), (5,11), (19,23)········ }

Five examples of co-primes

• ( 2 , 3 )
• ( 5 , 7 )
• ( 11 , 13 )
• ( 17 , 19 )
• ( 29 , 31 )
• ( 41 43)

Other Numbers are :-

★ Even Number ★

The number which are divisible by 2 are called even numbers .

Examples :- { 2 , 4 , 6 , 8 , ········ }

★ Odd Numbers ★

The numbers which are not divisble by 2 are called odd numbers .

Examples :- { 3 , 5 , 7 , 9 , ········ }

★ Prime Numbers ★

The number which are divisible by 1 or itself are called prime numbers.

Examples :- { 2 , 3 , 5 , 7 , ········ }

★ Natural Numbers ★

All such counting numbers are referred as natural numbers. It is denoted by " N ".

Examples :- { 1 , 2 , 3 , 4 , ········ }

★ Whole Numbers ★

All natural numbers including 0 are called whole numbers . It is denoted by " W " .

Examples :- { 0 , 1 , 2 , 3 , ········ }

★ Integers ★

All negative and positive numbers which can be represented on the number line are called integers.

It is denoted by " I " and " z " .

Examples :- { - 2 , - 1 , 0 , 1 , ········ }

★ Rational Numbers ★

The number which is written in the form of where p and q are Integers and q ≠ 0 .

Examples :- { 0 , , , - 4 , ········ }

★ Irrational Numbers ★

The number which cannot be expressed in the form of p/q are called Irrational numbers.

Examples :- { √2 , √3 , √5 , ········ }

Let's understand the concept first .

★ What are twin prime numbers ?

Twin primes are pairs of primes of the type (n, n+2).

Twin primes are two natural numbers the distance between is 2, and which are both prime numbers! {(n,m):n,m∈Prime; m = n+2; m>n }.

Example - { ( 3 ,5 ) , ( 5, 7 ) ······· }

So , Therefore ,

Twin primes between 1 and 50

( 2 , 3 )

( 5 , 7 )

( 11 , 13 )

( 17 , 19 )

( 29 , 31 )

( 41 43)

★ Composite Numbers ★

All the natural numbers except the prime numbers are called composite Numbers.

Examples :- { 4 , 6 , 8 , 10 ········ }

Hence ,

Five composite numbers less than 50.

4

6

8

9

10

Other composite Numbers less than 50 are - 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49.

★ Co - prime numbers ★

Two numbers are coprime if their highest common factor (or greatest common divisor) is 1.

For example - { (2,3), (5,11), (19,23)········ }

Five examples of co-primes

( 2 , 3 )

( 5 , 7 )

( 11 , 13 )

( 17 , 19 )

( 29 , 31 )

( 41 43)

Other Numbers are :-

★ Even Number ★

The number which are divisible by 2 are called even numbers .

Examples :- { 2 , 4 , 6 , 8 , ········ }

★ Odd Numbers ★

The numbers which are not divisble by 2 are called odd numbers .

Examples :- { 3 , 5 , 7 , 9 , ········ }

★ Prime Numbers ★

The number which are divisible by 1 or itself are called prime numbers.

Examples :- { 2 , 3 , 5 , 7 , ········ }

★ Natural Numbers ★

All such counting numbers are referred as natural numbers. It is denoted by " N ".

Examples :- { 1 , 2 , 3 , 4 , ········ }

★ Whole Numbers ★

All natural numbers including 0 are called whole numbers . It is denoted by " W " .

Examples :- { 0 , 1 , 2 , 3 , ········ }

★ Integers ★

All negative and positive numbers which can be represented on the number line are called integers.

It is denoted by " I " and " z " .

Examples :- { - 2 , - 1 , 0 , 1 , ········ }

★ Rational Numbers ★

The number which is written in the form of \frac{p}{q}

q

p

where p and q are Integers and q ≠ 0 .

Examples :- { 0 , \frac{2}{3}

3

2

, \frac{3}{5}

5

3

, - 4 , ········ }

★ Irrational Numbers ★

The number which cannot be expressed in the form of p/q are called Irrational numbers.

Examples :- { √2 , √3 , √5 , ········ }