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No. 2 is even and cannot be written as a sum of 2 prime numbers.

For even numbers greater than 2, this is the Goldbach conjecture, one of the best known conjectures. It has been shown to hold true up to 4*10^18 but has not been proved.

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Related Questions

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.


Prove that if every even natural number greater than 2 is the sum of two primes then every odd natural number greater than 5 is the sum of three primes?

Given an arbitrary odd natural number greater than five, x, let y = x - 3, then y is an even number greater than 2. By assumption we have that y is the sum of two primes, say y1 and y2, but then x = y1 + y2 + 3 (which is the sum of three primes).


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.


What proposes that every number greater than 2 is the sum of 2 primes?

That is known as the Goldbach conjecture.


What prime number less than 20 can be written as a sum of differrent primes?

2 + 3 = 5


Is every whole number greater than one either prime or can be expressed as the sum of primes in exactly one way?

Yes it is called the fundamental theorem of arithmeticand it says that every whole number greater than one, the natural numbers, can be written as a unique product of primes. Dr. Chuck Mathdoc


Can every odd number greater than 3 be written as the sum of two prime numbers?

No.Consider that every prime number except 2 is an odd number.Consider also that the sum of two odd numbers is always an even number.Thus, the only case in which an odd number can be expressed as the sum of two primes is when it is 2 greater than a prime number, since it can take advantage of the only even prime number, 2.For example, 21 can be expressed as 2+19, both of which are primes. However, 27 has no such two primes, since 25 is not prime (5x5=25).


How does the number 30 fit the goldbach's conjecture?

Goldbach's conjecture says that every even number greater than two can be expressed as the sum of 2 primes. If 30 could not be expressed as the sum of two primes, then this would disprove the conjecture. As it is, 30 can be expressed as the sum of two primes. You can express it as 11+19. Thus, Goldbach's conjecture holds in this case.


The sum of two odd number is?

The sum of two odd primes is always an even answer or number.


What odd number has a sum of three primes?

57


What proposes that every even number greater than 2 is the sum of 2 primes?

According to the Goldbach conjecture, every even prime number greater than 2 can be expressed as a sum of two primes. It has not yet been proven so it is possible that there is an even number that meets your requirements. See related link below for source


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.