5 and 2
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The sum of any two prime numbers may or may not be prime. The sum of the two prime numbers 2 and 3 is the prime number 5, and the sum of the two prime numbers 5 and 7 is the composite number 12.
2, 7 AND 31
The sum of the first six prime numbers is 41 (2 + 3 + 5 + 7 + 11 + 13 = 41).
17 is the only prime number that is the sum of four consecutive prime numbers. 2 + 3 + 5 + 7 = 17
The smallest four prime numbers are 2, 3, 5, 7, and their sum happens to be a prime.