0
No, as 2 is a Prime number, the product of 2 prime numbers can be even
But all other prime numbers (except 2) are odd then their product is odd
(2 x n1+1) x (2 x n2+1) = 2 x (2 x n1 x n2 + n1+ n2) +1
Add your answer:
Earn +20 pts
Is it true that the sum of two prime numbers is always an even number?
Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".
Is it possible for two numbers that are both even to be relatively prime?
No. Two numbers are relatively prime if they have no prime factors in common. Two even numbers will have 2 as a prime factor in common.
Can the sum of 2 odd prime numbers ever be prime?
No. The sum of two odd numbers is always even, and no prime is even (apart from 2, but it is the lowest prime, so no primes can be added to form it).
When you add two prime numbers together why do you get an even number?
You don't always. 2 + 5 = 7, for example. But all prime numbers other than 2 are odd and two odd numbers always equal an even number when added together.
Can the sum of two prime numbers be a prime number?
Yes, but since 2 is the only even prime number and the sum of two odd numbers is always even, one of the two prime numbers being added will always be a 2. So, for example: 3 + 2 = 5 11 + 2 = 13 71 + 2 = 73
Is the product of 2 prime numbers always even?
Both 3 and 5 are prime numbers. 3 x 5 = 15
Is it true that the sum of two prime numbers is always an even number?
Not quite.When two prime numbers of 3 and higher are added together, the result is always even, because all such prime numbers are odd numbers, and when two odd numbers are added together, the result is always an even number.However 2 is a prime number, and 2 is also an even number. Adding 2 (an even number) to a different prime number (an odd number) will always yield an odd number.Only if you don't include "2".
Why can't two consecutive whole numbers be prime?
In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.
Is it possible for two numbers that are both even to be relatively prime?
No. Two numbers are relatively prime if they have no prime factors in common. Two even numbers will have 2 as a prime factor in common.
Could prime numbers can never be even numbers?
Not quite true . . . the number '2' is a prime number. All the rest of the even numbers cannot be prime because they always can be divided by 2.
Is the product of tow prime numbers always even yes or no?
No.
Can a even number be a prime number even though all the prime numbers are odd?
Two is even and it's a prime number. All other even numbers can never be prime though because they will always be divisible by 2. So in fact, not all prime numbers are odd, but 2 is the only even prime number.
Does two prime numbers always add up to an even number?
No, they do not. If one of the prime numbers is 2, you will have an odd number.
Can the sum of 2 odd prime numbers ever be prime?
No. The sum of two odd numbers is always even, and no prime is even (apart from 2, but it is the lowest prime, so no primes can be added to form it).
Is 8 both prime and even?
No, as a matter of fact there is no such thing as a prime and even number. Even numbers will always be able to divide by two.
Can prime numbers other than 2 and 5 ever be 3 apart?
No, there are no other even prime numbers. And an odd number + or - 3 is always even Ward
Is 550 a composite or prime number?
Any even number is always divisible by 2 and thus (apart from 2 itself) all even numbers can not be prime numbers.
