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Why can two consecutive numbers be relately prime?

Updated: 8/20/2019
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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.

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Q: Why can two consecutive numbers be relately prime?
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Related questions

What are two consecutive prime numbers called?

2 and 3 are the only consecutive numbers that are prime.


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.


Did number two and three are prime numbers they are also consecutive numbers. Are there other parents of prime that are consecutive numberswhy or why not?

No other prime numbers are consecutive because there aren't any other even prime numbers.


What is the definition of a consecutive prime number?

Consecutive prime numbers are two prime numbers that are next to each other, with no other prime numbers in between. For example, 3 and 5 are consecutive prime numbers.


What one-digit number is the product of two consecutive prime numbers?

There are only two prime numbers that are consecutive numbers, 2 and 3. Their product is 2 x 3 = 6. The first prime numbers are 2, 3, 5, and 7 and the only two consecutive prime numbers whose product is a single digit are 2 and 3. (The next two consecutive prime numbers, 3 and 5, have a two-digit product.)


Can two consecutive numbers be prime?

Yes.Additional Information:If you have two consecutive numbers, one of them will be an odd number and the other will be an even number. Since even numbers are divisible by 2, the only even prime number is 2. If two consecutive numbers are prime, the even number must be 2. So, because 1 is not a prime number, the only time that two consecutive numbers can be prime is in the case of 2 and 3.


Can two consecutive whole numbers whole numbers be prime?

The only two consecutive whole numbers that are prime numbers are 2 and 3. Otherwise, every second consecutive whole number in sequence is even, and being multiples of 2, they cannot be prime.


What consecutive prime integers have a difference of 20?

The first two consecutive prime numbers that have a difference of 20 are the numbers 887 and 907.


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.


Are any consecutive natural numbers also prime numbers?

2, 3Those two are consecutive, natural and prime numbers! It's as easy as one, two, three! (Pun intended)


What are two consecutive prime numbers?

2 and 3


What are the two consecutive prime numbers with difference 2 called?

My guess is you're talking about prime numbers with a prime gap of two.