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If someone says it can't, here's a counter-example.

2 + 3 = 5

This is not a proof.

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14y ago

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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.


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.


The sum of two odd number is?

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


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 odd number has a sum of three primes?

57


Express 63 as sum of odd primes?

To make odd numbers total an odd number, you have to have an odd number of them. 7 + 13 + 43 = 63


Express 46 and 38 as the sum of two odd primes?

To express the numbers 46 and 38 as the sum of two odd primes, you can use the following combinations: For 46: 46 = 43 (a prime number) + 3 (a prime number) 46 = 41 (a prime number) + 5 (a prime number) For 38: 38 = 37 (a prime number) + 1 (a prime number) 38 = 31 (a prime number) + 7 (a prime number) So, 46 can be expressed as the sum of two odd primes in two ways, and 38 can also be expressed as the sum of two odd primes in two ways.


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).


Can an even number greater than 4 be written as the sum of 2 prime numbers if you use 2 as one of the primes?

No. 2 is the only even prime number, and if you add an even number and an odd number, the result will always be odd.


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 primes even?

Yes. all prime numbers are odd numbers so the sum of any two will be an even number.


Is there an even number which can be written as the sum of four odd primes?

Prime numbers can only be odd, otherwise they'd be divisible by two, and thus not prime. But, as an example: 1 x 3 x 5 x 7= 105. (odd) An odd times an odd is always odd. Since primes are by definition odd, one cannot multiply four prime numbers and get anything other than an odd number, as each step produces an odd number. Thus a multiplicative sum of four primes is always odd. If by a sum you actually mean addition, then anytime you add two odd numbeers you get an even number, so any four prime numbers will give you an even result every time, and one answer is above. I assume you are only dealing with real numbers.Another Answer:Except for the number 2, which is even and prime, all prime numbers are odd. The sum of any two odd numbers is even, and the sum of any two even numbers is even, so the sum of any four odd numbers is also even. There are an infinite number of even numbers that can be written as the sum of four odd prime numbers. The first example is 3 + 5 + 7 + 11 which equals 26 or, in the full case, 3 + 3+ 3 + 3 which equals 18.