Courses
Courses for Kids
Free study material
Offline Centres
More
Store

# Express the following number as a sum of two odd primes, $84$

Last updated date: 22nd Jul 2024
Total views: 349.2k
Views today: 9.49k
Verified
349.2k+ views
Hint: Prime numbers are the numbers which have only two factors, that is $1$and the number itself.
For example, the first five prime numbers are $2,3,5,7\& 11$
Odd prime numbers are the numbers which are odd numbers.
A number can be represented as a sum of two numbers like $c = a + b$.

As we know that a number can be represented as a sum of two numbers,
i.e. $c = a + b$
In this case we have $c = 84$ and $a\& b$ has to be of prime numbers.
An odd prime number that is nearest to the number $84$ is $83$ but there is no other odd prime number which will give $84$ by adding it to $83$. So, we cannot use $83$.
For instance, let us take the least odd prime number $3$,
$83 + 3 = 86$, which is not equal to $84$
Let us consider another odd prime number $79$ which is nearest to $83$.
Now consider the least odd prime number 3.
$79 + 3 = 82$ which is not equal to $84$.
Let us take the next least odd prime number $5$,
$79 + 3 = 82$,
Now we got the results.
Thus $84$ can be represented as a sum of two odd prime numbers that is $79$and $5$.

Note: The numbers other than prime numbers are called composite numbers. $1$ is neither a prime number nor a composite number because by the definition of prime number it should have two factors but $1$ does not have any other factor other than itself so $1$ is not a prime number and by the definition of composite number it should have more than two factors again $1$ has no other factor other than itself so, $1$ is not a composite number.