0
Because if they were even they would be a multiple of 2 and thus not prime.
Wiki User
∙ 8y ago
Add your answer:
Earn +20 pts
Is every odd number greater then one a prime number?
No. The first odd number, counting up from one, that is not a prime number, is 9.
Is every prime number odd?
Every single prime number Is odd , with the exception of 2 being an even number , but ... Not every single odd number is going to be prime. Example: 9-1,3,9
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).
Which is the smallest co prime number?
2 is the smallest prime number. It is co-prime with every odd number.
What are the numbers as sum of 2 prime numbers?
The sum of two prime numbers greater than 2 is an even number. The sum of 2 and any other prime number is an odd number.
Is every odd number greater then one a prime number?
No. The first odd number, counting up from one, that is not a prime number, is 9.
Why is every odd number greater than 1 not prime?
That's not true.
Why is every prime number greater than 2 an odd number?
Because every number is either odd or even. Even numbers are divisible by two, which means that (with the exception of 2 itself) they by definition are not prime.
Is every prime number odd?
Every single prime number Is odd , with the exception of 2 being an even number , but ... Not every single odd number is going to be prime. Example: 9-1,3,9
Why is prime number greater than 2 an odd number?
Because every number is either odd or even. Even numbers are divisible by two, which means that (with the exception of 2 itself) they by definition are not prime.
What is the exception to the rule that every prime number is odd?
2 is the exception to the rule that every prime number is odd
How your prime number are odd or even?
Every prime number is odd except one: the number 2.
What would you get when you add two prime numbers greater than 2 and why?
An even number because every prime number gretaer than 2 is odd.
Is every odd number greater than 1 is prime?
No, take 9 for example. It has 1,9, and 3 as factors, so it's not prime.
Is a prime number odd or even?
All prime numbers other than 2 are odd numbers. 2 is the only even prime number.
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).
Is the integer 5the only prime number of the form 3p added by 1 where p represents any prime number?
It is not clear what you mean by "3p added by 1." If you mean 3p+1, there is only one such prime and that is 7, where p is 2. The reason is that every prime greater than 2 is odd and 3 times an odd number is odd and 1 plus that is even and no prime greater than 2 is even. If you mean 3p-1, the only prime is 5 for the same reason except that every odd number minus 1 is even. So again, 2 is the only value of p that produces a prime.
