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