answersLogoWhite

0

Is the sum of two primes even?

Updated: 10/25/2022
User Avatar

Wiki User

11y ago

Best Answer

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

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is the sum of two primes even?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

The sum of two odd number is?

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


What even number is not the sum of two primes?

16


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.


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.


What are even nos between 100 to 300 that is the sum of two prime nos?

Each one of them can be expressed as a sum of two primes.


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.


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.


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).


What is the conjecture that states that all even numbers over 2 can be expressed as the sum of two primes?

Goldbach's 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


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 two prime numbers have a sum of 62?

19 and 43 are two primes having 62 as their sum.