Express 104 and the sum of any three odd primes
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97+5+2.........=104........
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Answer: Not possible.
Step-by-step explanation: We are given to express 104 as the sum of three odd primes.
The following rules of addition are well-known to all of us.
an odd number + an odd number=an even number,
an odd number + an even number=an odd number,
an even number + an odd number=an odd number
and
an even number + an even number=an even number.
Let 104=a+b+c, a, b and c are odd primes.
a+b= sum of two odd numbers=an even number=d (let).
Therefore, 104=d+c=an even number+an odd number=an odd number, which is false.
So, 104 cannot be expressed as the sum of three odd primes.
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