The sum of two odd primes is always an even answer or number.
16
Each one of them can be expressed as a sum of two primes.
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.
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).
The sum of two odd primes is always an even answer or number.
16
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.
Each one of them can be expressed as a sum of two primes.
Oh, what a happy little question! Let's take a look at those prime numbers. When we add them up, we find that their sum is actually even. Isn't that just a delightful surprise? Remember, in the world of numbers, there's always a little bit of magic waiting to be discovered.
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.
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).
Goldbach's conjecture
Goldbach's conjecture: Every even integer n greater than two is the sum of two primes see below for the reference
No.
The two prime numbers that have a sum of 62 are 31 and 31. Prime numbers are numbers greater than 1 that can only be divided by 1 and themselves without leaving a remainder. Since 31 is a prime number and the only way to express 62 as the sum of two prime numbers is 31 + 31, the answer is 31 and 31.