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Express the following as the sum of two odd primes.
(a) 44
(b) 36
(c) 24
(d) 18
To do:
We have to express the given numbers as the sum of two odd primes.
Solution:
(a) 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.
Given number is 44.
$44=3+41$
44 expressed as the sum of two odd prime numbers is $3+41$.
(b) 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.
Given number is 36.
$36=5+31$
36 expressed as the sum of two odd prime numbers is $5+31$.
(c) 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.
Given number is 24.
$24=5+19$
24 expressed as the sum of two odd prime numbers is $5+19$.
(d) 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.
Given number is 18.
$18=5+13$
18 expressed as the sum of two odd prime numbers is $5+13$.