Tuesday, May 12, 2020

Coprime and Twin prime numbers

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.

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