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