Question

sum of three consecutive prime number is 109​

Answer 1

Three consecutive prime numbers whose sum is 109 are 31, 37, 41.

Answer 2

Given:

The sum of three consecutive prime numbers is $109$

To find:

The three prime numbers

Step-by-step explanation:

The three prime numbers can be identified on the basis of the Trial and Error method.

As the sum is $109$ and three consecutive prime numbers are involved, we cannot think of a number beyond $50$

Let us consider the range from $30$ to $40$

The prime numbers in $30$ to $40$ range are $31, 37,41,43,47$

The sum of $31\;+\;37\;+41\;= \;109$

Answer:

Therefore, the three consecutive prime numbers are $31, 37 \;and \;41$