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Q: Why is every prime number greater then 2 an odd number?

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No. The first odd number, counting up from one, that is not a prime number, is 9.

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

2 is the smallest prime number. It is co-prime with every odd number.

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).

3 is the smallest odd prime number.

Related questions

No. The first odd number, counting up from one, that is not a prime number, is 9.

That's not true.

No. 15 is odd, but not a prime.

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.

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

2 is the exception to the rule that every prime number is odd

Every prime number is odd except one: the number 2.

There is one even prime number (2); the rest are odd.

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.

An even number because every prime number gretaer than 2 is odd.

No, take 9 for example. It has 1,9, and 3 as factors, so it's not prime.

Yes, every prime number, except for the number 2, is odd.

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