Question

Express$36$ as the sum of two odd prime numbers and the sum of twin prime numbers.

Answer 1

Expressing $36$as the sum of two odd prime numbers and the sum of twin prime numbers:

Step 1:Expressing the $36$ as sum of two odd prime numbers:

Prime numbers are the numbers that have only two factors.

The number $36$ can be expressed as$13+23$( sum of two odd prime numbers ) where $13$ and $23$ are odd prime numbers.

Step 2: Expressing $36$ as the sum of twin prime numbers.

Pair of prime numbers having a difference of $2$ is called twin prime numbers.

$36$ can be expressed as $17+19$

Hence, the $36$can be expressed as $13+23$( sum of two odd prime numbers) and $17+19$(twin primes).