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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
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.
There are 25 prime numbers less than 100 is their sum even or odd?
The sum of the 25 primes less than 100 is even (it is 1060).The first prime number is 2. Every other prime number is odd.So, of the 25 primes less than 100, one is even and 24 are odd.Any two odd numbers sum to an even number. Therefore, an even number of odd numbers has an even sum. So the sum of 24 odd numbers is even.Therefore, the sum of the 25 primes less than 100 is even.
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).
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.
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 is the smallest prime number that is the sum of two primes?
5
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.
Can an even number greater than 4 be written as the sum of two prime numbers if you use 2 as one of the primes?
No.
What is the only prime number that is the sum and difference of two primes?
5
What number is neither prime or the sum of two distinct primes?
One.
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
