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Earn +20 ptsQ: What is the smallest prime number that is the sum of two primes?
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What number is neither prime or the sum of two distinct primes?
One.
Is the sum of two prime numbers always a prime numer?
It is not. Of the infinitely many primes only one (the number 2) is even, the rest are all odd. The sum of any two primes other than 2 is even and therefore not a prime. If one of the primes in the sum is 2 then the sum is a prime only if the other is the lower of a pair of twin primes. So, while it is possible, it is certainly more likely that the sum is a composite.
What 3 prime numbers have the sum of 3?
There are not three prime numbers that have the sum of 3. The smallest prime number is 2. If all three prime numbers were 2, the sum would 2 + 2 + 2 = 6, so that is the smallest number that is the sum of three prime numbers.
What is the smallest possible sum for 4 different prime numbers when the answer is a prime number?
The smallest four prime numbers are 2, 3, 5, 7, and their sum happens to be a prime.
What is the sum of the smallest prime number and the first prime number that is larger than 100?
106
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