Infinity.
There are not three odd primes with the sum of 14. The sum of three odd primes will be an odd number.
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.
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.
The sum of all prime numbers less than one hundred is 1104.
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.
The twin primes 41 + 43 = 84.
This question cannot be answered because three odd primes always have an odd number for their sum.
Yes. all prime numbers are odd numbers so the sum of any two will be an even number.
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.
606
659 and 7.
57