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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.
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What is the meaning of consecutive numbers?
Consecutive numbers are numbers which are next to each other, such as 1, 2, and 3, or 15 and 16.
Other than 2 and 3 can two consecutive whole numbers be prime numbers?
no
The consecutive numbers 2 and 3 are both prime how do you know that there are no other consecutive prime numbers?
Because one of them would necessarily be even, and therefore divisible by 2.
How can you find the gcf of two numbers without knowing the factors?
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.
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.
