Question

The sum of two prime number is always an even integer.​

Answer 1

Answer:

The sum of two prime number is always an even integer. - False

Step by step explanation:

The given statement is false, since the sum of two prime number can or cannot be an even integer.

ex:- 2 , 3 , 5 , 7 , 11 , ............ are prime numbers.

If you add 2 and 3 you will get 5, which is an odd number. Similarly when you add 2 and 5 you will get 7 ,which is an odd number. But when you add 3 and 5 you will get 8 which is an even number.

Similarly, when you add 7 and 3 you will get 10, which is an even number. Hence you can't say that the sum of two prime number is always an even integer.

Hope this is helpful to you.

Please mark my answer as brainliest.

Have a nice day.

Answer 2

Answer:

Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states: Every even integer greater than 2 is the sum of two primes.