2, 2, 13
3, 3, 11
3, 7, 7
5, 5, 7
Can't be done with 3 different primes, there's no way to make 17 from 2, 3, 5, 7, 11 & 13.
Another Answer:-
19-13+11 = 17
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The first four primes have this property: 17 = 2 + 3 + 5 + 7 (all primes). So does 23 (2+3+7+11)
The prime numbers 3 an 7 are both odd and sum to 10.
Sure. All composite numbers can be written as a product of primes. It shouldn't be tough to find a composite number that's the sum of three other composite numbers. Let's try 30. 2 x 3 x 5 = 30 Product of primes, check. 6 (2 x 3) + 10 (2 x 5) + 14 (2 x 7) = 30 Sum of three products of primes, check.
Prime numbers that differ from each other by exactly 2 are twin primes. Examples of twin primes are 3 and 5, 17 and 19, 599 and 601.
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