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Because any consecutive pair of numbers would involve an even number which will always be divisible by 2. As 2 is the only even Prime number, 2 and 3 are necessarily the only sequential prime numbers.

Q: Why arent there any other consecutive prime numbers besides 2 and 3?

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Consecutive numbers are numbers which are next to each other, such as 1, 2, and 3, or 15 and 16.

no

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

If one of the numbers is a multiple of the other, the smaller number is the GCF. If the two numbers are prime numbers, the GCF is 1. If the numbers are consecutive, the GCF is 1. If the numbers are consecutive even numbers, the GCF is 2.

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.

Related questions

Both prime number

The numbers 2 and 3 are consecutive prime numbers. Are there other pairs of prime numbers which are consecutive numbers?

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

Consecutive is a series of numbers or events which occur directly after each other. For example 1,2,3,4, and 5 are all consecutive numbers.

Consecutive numbers are numbers which are next to each other, such as 1, 2, and 3, or 15 and 16.

Consecutive whole numbers have no other whole numbers between them.

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.

Consecutive

38 and 39 because they are next to each other and consecutive means numbers next to each other that then makes 77.

There are no two consecutive whole numbers that sum to 142.With two consecutive whole numbers, one is even and the other odd, and their sum will be odd, but 142 is even.Two consecutive even numbers that sum to 142 are 70 and 72.

There aren't two positive consecutive numbers that have an LCM of 200.There aren't two positive consecutive numbers that are multiples of 7.Other than that...

Consecutive numbers are numbers that follow each other. For Example: 4, 5, 6, and 7 are consecutive numbers because they are right next to each other. Any number is a consecutive number as long as it is in order. If you get a math problem like: "which numbers are consecutive numbers?" and the choices are 3, 6, 2, 4, and 9 the answer would be 2, 3, and 4 because they are consecutively going through numbers next to each other.