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.

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