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What is the sum of all primes?

Updated: 8/17/2019
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9y ago

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Infinity.

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Q: What is the sum of all primes?
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What are the three odd primes with the sum of 14?

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


How many of the prime numbers between 10 and 20 can be written as the sum of two primes?

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.


Is the sum of prime numbers cannot be a prime?

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.


Sum of all primes less than 100?

The sum of all prime numbers less than one hundred is 1104.


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 pair of twin primes have a sum of 84?

The twin primes 41 + 43 = 84.


What are three odd primes with sum of 30?

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


What is the sum of all primers less than 100?

The prime numbers less than 100 are :- 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89 and 97. The sum of these primes is 1060.


Is the sum of two primes even?

Yes. all prime numbers are odd numbers so the sum of any two will be an even number.


Can a product of primes be split into sum of three products of primes?

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.


Are there any numbers that aren't the sum of 2 primes?

no


What sum of primes equals 666?

659 and 7.