Express each of the following numbers as the sum of three odd primes:
(a) 21
(b) 31
(c) 53
(d) 61


To do :

We have to express the given numbers as the sum of three odd primes.

Solution :

First few odd prime numbers are 3, 5, 7, 9, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

(a) Given number is 21.

$21=3+5+13$

21 expressed as the sum of three odd prime numbers is $3+5+13$.

(b) Given number is 31.

$31=3+5+23$

31 expressed as the sum of three odd prime numbers is $3+5+23$.

(c) Given number is 53.

$53=13+17+23$

53 expressed as the sum of three odd prime numbers is $13+17+23$.

(d) Given number is 61.

$61=7+13+41$

61 expressed as the sum of three odd prime numbers is $7+13+41$.

Updated on: 10-Oct-2022

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