Question

2. Express each as the sum of three odd prime numbers.
(a) 15
O 53
(c) 43​

Answer 1

Answer:

We need to express the given numbers as the sum of odd primes. The prime numbers between 1 and 50 are listed below:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

So using the above any three odd primes we need to express as the sum of the given number.

(a) 21 = 3 + 7 + 11

(b) 31 = 3 + 11 + 17

(c) 53 = 13 + 17 + 23

(d) 61 = 19 + 29 + 13

Answer 2

A prime number is a positive integer having exactly two factors. If p is a prime, then it’s only factors are necessarily 1 and p itself.

Except 2, all other prime numbers are odd. In other words, we can say that 2 is the only even prime number.

Solution:- We need to express the given numbers as the sum of odd primes. The prime numbers between 1 and 50 are listed below:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

So using the above any three odd primes we need to express as the sum of the given number.

(a) 21 = 3 + 7 + 11

(b) 31 = 3 + 11 + 17

(c) 53 = 13 + 17 + 23

(d) 61 = 19 + 29 + 13