answersLogoWhite

0


Best Answer

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

2 + 3 = 5

This is not a proof.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Can an odd number be written as the sum of two primes?
Write your answer...
Submit
Still have questions?
magnify glass
imp
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.


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.


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.