Question

1. What are coprimes? Give examples of five pairs of coprimes. Are coprimes always primes? If no, illustrate your answer by an example.
2. Write down the prime numbers between 1 to 100.​

Answer 1

Step-by-step explanation:

coprimes are such numbers whose highest common factor is 1. It is not necessary that coprimes numbers are always prime numbers for example 4 and 5. 4 is not prime but 4 and 5 are coprime as they have HCF as 1. further 8 and 9. neither of 8 or 9 is prime but they together are coprime. so any two consecutive numbers are coprime. more examples are

(3,7), (25,28),(36,49),(6,7) etc

It is not necessary that only two numbers are coprime. any set of numbers having HCF 1 are coprime.

2. prime numbers between 1 to 100

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

hope you find it useful

Answer 2

Answers

1) Two numbers are said to be coprime. If they do not have a common factor other than 1.

2,3:3,4:4,5:5,6:6:7 are the examples of five coprimes.

No.15 ,16 are coprime but both of numbers are not prime.

2) Prime Numbers :- 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,

59,61,67,71,73,79,83,89,97.