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5 = 2 + 3 (2 & 3 are prime but 5 is not even) 7 = 2 + 5 (2 & 5 are prime but 7 is not even) 9 = 2 + 7 (2 & 7 are prime but 9 is not even) 13 = 2 + 11 (2 & 11 are prime but 13 is not even)
1. Let n satisfies both conditions 2. n can be odd only if one of the prime numbers is 2. 3. Therefore, n=p+2 4. p can be prime number (5,7,11,13,17) and can be not prime number (9,15) 5. Therefore, E
we now can also construct two examples: 5=3+2 and 11=9+2
Can teh positive integer n be written as the sum of two different positive prime numbers?
1) n is greater than 3 2) n is odd
many thanks
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E.
Personally I don't like the wording of this DS question. It can be confusing.
The question is asking can it be the sum of two positve prime numbers. Well really we can answer Yes it can be. It should read "IS n the sum of two different positive prime numbers." Just my opionion there.
Anyway when you get these, follow the same rules that apply to all yes and no questions.
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