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Because one of them would necessarily be even, and therefore divisible by 2.

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Q: The consecutive numbers 2 and 3 are both prime how do you know that there are no other consecutive prime numbers?
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Related questions

How are 2 and 3 consecutive prime numbers?

2 and 3 are consecutive numbers and they are both prime.


Why can there never be a pair of consecutive prime numbers that are both prime?

If you mean consecutive numbers that are prime? than the answer is 2,3 are consecutive numbers which are prime. except for this pair it is impossible for consecutive numbers to be prime because every second number is multiple of 2


Who do you know that there are no other consecutive numbers besides 2 and 3?

Both prime number


What is a consecutive prime numbers?

Consecutive prime numbers are 2 integers that differ by 1 and are both prime. Since 2 is the only even prime, 2 and 3 are the only consecutive primes.


Why aren't there any other pairs of consecutive prime numbers?

Ah hah! You didn't say so, but you must be talking about 2 and 3 ... the only two consecutive numbers that are both prime numbers. There can't be any others. Because if you have any other two consecutive numbers, one of them has to be an even number ... divisible by 2. Since that number is divisible by 2, it's not a prime number.


Find all pairs of consecutive prime numbers?

The only two consecutive numbers that are both prime are 2 and 3. Since there are no other even prime numbers (other than 2), there are no more pairs of consecutive prime numbers. Therefore, the term "twin primes" usually refers to pairs of prime numbers that are 2 numbers apart. Examples are (3, 5), (5, 7), (11, 13), (101, 103), and many others more. It is not currently know whether there are infinitely many twin primes.


How do you know twin prime number?

You take two consecutive odd numbers and check both of them to see whether they are prime or not.


Is the LCM of two numbers that have no common factors their product?

The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.


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 is the difference between a prime number and a prime factor?

Not a lot. They're both prime numbers. A factor that is prime is used to make other numbers.


Are 23 and 29 a composite or prime number?

They are both prime numbers.


What are consectutive whole numbers?

"Consecutive" means that both of them are almost the same number,except that one of them is 1 more than the other one.If you're counting, then when you get to one of the consecutive whole numbers,the other one will be the very next one you say.