Coprime and Twin prime numbers

Hey guys This is Mohit Sharma. Your welcome in our blog maths study. Today we discuss twin prime and co prime.

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Prime number : A number having only two distinct factors i.e 1 and the number itself. Ex: 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,……

Co-prime numbers : Two numbers which have only 1 as their common factor.

Ex: 1,2; 2,3; 3,4;……….

Twin prime numbers: Two prime numbers whose difference is 2.

Ex: 3,5; 5,7; 11,13; 17,19;………

Problems on Twin Primes

Q.1: Give three pairs of prime numbers whose difference is 2.

Solution: The three pairs of prime numbers are (3, 5), (5, 7) and (11, 13).

Q.2: What is the difference between twin primes and co-prime numbers?

Answer: A pair of prime numbers whose difference is 2, is called twin prime whereas two numbers having only 1 as a common factor is called co-prime numbers.

Q.3: What are twin primes between 1 and 100?

Answer: The twin primes between 1 and 100 are;

(3, 5), (5, 7), (11, 13), (17, 19), (29, 31), (41, 43), (59, 61) , (71, 73).

Problems on Co-Primes

Q.1: Is 18 and 35 Coprime Numbers?

Yes, 18 and 35 are co-prime numbers. The factors of 18 are 1, 2, 3, 6, 9 and 18 while the factors of 35 are 1, 5, 7 and 35. Since the HCF is 1, they are coprime.

More watch on youtube: 

Coprime and Twin prime | Definitons of coprime | Definition of twin prime | Types of prime numbers