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What proposes that every even number greater than 2 is the sum of 2 primes?
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∙ 13y ago
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.
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∙ 13y ago
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What proposes that every number greater than 2 is the sum of 2 primes?
That is known as the Goldbach conjecture.
What proposes every even no. greater than 2 is the sum of 2 primaries?
Goldbach's conjecture: Every even integer n greater than two is the sum of two primes see below for the reference
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.
Investigate whether or not it's possible to form every square number by adding to primes together?
no because 1 is a square and no primes can be added to make it (1 is not prime)
What proposes that every number greater than 2 is the sum of 2 primes?
That is known as the Goldbach conjecture.
What proposes every even no. greater than 2 is the sum of 2 primaries?
Goldbach's conjecture: Every even integer n greater than two is the sum of two primes see below for the reference
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 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.
Use the fact that there are infinitely many primes to prove that there are inifitely many non prime numbers?
For every prime number p greater than 2, p + 1 is composite.
What is the smallest integer that cannot occur between two primes?
I'm not sure what you're asking. The smallest number that can't be between two primes is obviously 1. Once you start running into primes, every composite number is between at least two primes.
Sets of factors for every number not prime?
All non prime numbers have factors that are primes.
Investigate whether or not it's possible to form every square number by adding to primes together?
no because 1 is a square and no primes can be added to make it (1 is not prime)
Why do odd numbers have more primes?
An even number is on that is a multiple of 2 so any even number greater than 2 can't be prime. Here is why, a prime is a number whose only divisors are 1 and itself. That means if I take a number, call it P, the onlly divisors of P are 1 and P. That is the same as saying you can only divide P by itself and 1 or the only factors of P are 1 and itself. If a number is even, then it has 2 as a divisor or a factor so it is not prime. So we just got rid of every even number greater than 2 as a possible primes. The odds are left and some of them are primes and some are not. Dr. Chuck aka Mathdoc
What even number greater than 2 is not made of the addition of two prime numbers?
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. http://en.wikipedia.org/wiki/Goldbach%27s_conjecture
