Question

# Express the following number as the sum of three odd prime numbers.61.

Verified
157.2k+ views
Hint: Find out all the prime numbers less than or equal to a given number, then find out the three odd prime numbers whose sum is equal to the given number.

As we know Prime numbers are the number which is divisible by 1 and itself.
So, first find out all the prime numbers less than or equal to the given number 61.
$2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61$

Now find out the three odd prime numbers whose sum is 61 from the above prime numbers.
2 is a prime number but it is not an odd prime number it is an even prime number.

Therefore three odd prime numbers are 11, 19, and 31. And 11, 13 and 37.
$\Rightarrow 11 + 19 + 31 = 61$
$\Rightarrow 11 + 13 + 37 = 61$
So, this is the required answer.

Note: In such types of questions always remember the key concept that the Prime numbers are the number which is divisible by 1 and itself, then find out all the prime numbers less than or equal to the given number, then find out the three odd prime numbers whose sum is equal to the given number which is the required answer.