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Write down separately the prime and com...

Write down separately the prime and composite numbers less than 20.

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To solve the problem of identifying prime and composite numbers less than 20, we will follow these steps: ### Step 1: Understand the Definitions - **Prime Numbers**: A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. This means it can only be divided evenly by 1 and the number itself. - **Composite Numbers**: A composite number is a natural number greater than 1 that is not prime. This means it has more than two positive divisors. ### Step 2: List the Natural Numbers Less Than 20 The natural numbers less than 20 are: ...
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Counting numbers have fascinated human mind from time immemorial. The first set he seems to have pondered about is the set of natural numbers, N Various subsets of this set were diffined. Note worthy among them are Prime Number :- if a natural number has exactly tow divisors it is called a prime number. Yet another way Simple examples are 2,3,5,7,........... {2,3} in the only set of consective primes. Composite numbers :- A natural number habing more than 2 divisors is called a composite number. Simple examples are 4,6,8,9,10,.......... Note that 1 is neither prime nor composite. Coprime or relatively prime numbers :- A pair of natural numbers is acalled a set of coprime numbers if their highest common factor (HCF) or greatest common divisor (g.c.d.) is 1. For example 8 & 5 are co-prime Note that these two numbers need not be prime. More over 1 is coprime with evert natural numbers. a prime number is coprime with all natural numbers which are not it's multiple. Twin Prime :- A pair of primes is called twin primes if their non-negative difference is '2' For example {3,5} , {5,7}, (11,13} , ......... Based on above difinitions solve that following problems Number of composite numbers less than 15 is