Study guides

☆☆

Q: Can the sum of three primes be prime?

Write your answer...

Submit

Still have questions?

Related questions

Are you asking The first prime that is the sum of three primes? I'll help. 2,3,5 are the first 3. the sum is 10. Not prime. now try 3,5,7. 15. Not prime. 5,7,11. 5,7,11 work, the sum is 23, which is a prime, not divisible by 2,3,4,5,6,7,8,9, so on. So the Three Primes are 5 7 11. The sum is 23.

There are not three odd primes with the sum of 14. The sum of three odd primes will be an odd number.

Not true. 2 + 3 = 5, where all three are primes. One of the primes in the sum must be 2, otherwise both primes would be odd and their sum would be even (and >2) and therefore not prime. Such primes: p and p+2 [3 and 5 in the above example] are known as twin primes and there are infiitely many twin primes.

3, 5 and 11

5

All prime numbers greater than 2 are odd numbers. For an odd prime to be written as the sum of two primes, one of the primes must be 2 because two odd primes will produce an even sum. 11 cannot be written as the sum of two primes. 13 = 2 + 11. 17 cannot be written as the sum of two primes. 19 = 2 + 17.

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.

5

This question cannot be answered because three odd primes always have an odd number for their sum.

5

5

5

People also asked