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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.
Are 12 and 15 relatively prime?
No, 12 and 15 aren't relatively prime, because they both share as a prime factor 3. Dividing both12 and 15 by 3 gives 4 and 5 respectively. Consecutive numbers are always coprime. Coprime numbers are relatively prime to each other, as they share no prime factors, for example 33 and 35,
What are consecutive prime?
2 and 3 are the only consecutive prime numbers.
What two consecutive numbers add up to 60?
Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.
Why are 2 and 3 consecutive prime numbers?
A prime number is a number only divisible by 1 and itself, since nothing else goes into 2 but 1 and 2 and nothing goes into 3 but 1 and 3 they are both prime and since 3 goes after 2 they are consecutiveAnd they are the ONLY consecutive prime numbers because if you have one prime number (i.e. 29), then there always is an even number right after the prime number (i.e. 30 comes right after 29), and consecutive means "right next to," right? And we all know that even numbers can always be divided in half, so 2 and 3 are the only consecutive prime numbers.1 is not a prime so that (1,2) is not a pair of consecutive integers that are prime. So, if there is another opair of consecutive numbers that are prime, they must be larger than (2,3) - ie the smaller of the pair must be greater than 2.Now any pair of consecutive numbers must have one odd and one even number. Therefore, the candidate pair must contain an even number which is greater than 2. But all even numbers greater than 2 are divisible by 2 and so are composite (non-prime). So every such candidate pair contains an odd number which may or may not be prime, and an even number which is definitely not a prime.
Why can two consecutive numbers be relately prime?
A pair of prime numbers are always relatively prime, whether they are consecutive or not. This is so because "relatively prime" means they have no common factors.
Is consecutive natural numbers are always relatively prime?
Yes.
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.
Can any two prime numbers be relatively prime?
It is, and always is relatively prime.
What are some relatively prime numbers?
4 and 9 Any consecutive whole numbers.
Is the GCF of relatively prime numbers ever 1?
The GCF of relatively prime numbers is always 1, by definition.
Are 12 and 15 relatively prime?
No, 12 and 15 aren't relatively prime, because they both share as a prime factor 3. Dividing both12 and 15 by 3 gives 4 and 5 respectively. Consecutive numbers are always coprime. Coprime numbers are relatively prime to each other, as they share no prime factors, for example 33 and 35,
Are two prime numbers always sometimes or never relatively prime?
Always
What are all the pairs of prime numbers that are consecutive numbers?
The numbers 2 and 3 are consecutive prime numbers. Are there other pairs of prime numbers which are consecutive numbers?
Why are 2 and 3 the only consecutive prime numbers?
And they are the ONLY consecutive prime numbers because if you have one prime number (i.e. 29), then there always is an even number right after the prime number (i.e. 30 comes right after 29), and consecutive means "right next to," right? And we all know that even numbers can always be divided in half, so 2 and 3 are the only consecutive prime numbers.
Are two composite numbers always relatively prime?
No.
What number has the greatest common factor of one?
Any set of prime or relatively prime numbers, like consecutive integers.
