Prime Numbers

# What is a consecutive prime number?

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.

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## Related Questions

Prime number next to any prime number is called consecutive prime number. Eg:- 2,3,5,7 are prime numbers

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

17 is the only prime number that is the sum of four consecutive prime numbers. 2 + 3 + 5 + 7 = 17

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.

3 consecutive numbers cannot be prime factors. Any three consecutive numbers would include at least one even number. The only even prime number is 2, and (2,3,4) doesn't qualify.

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.

No. You must have more than one number listed in order for them to be considered consecutive numbers.

3 consecutive numbers cannot be prime factors. Any three consecutive numbers would include at least one even number. The only even prime number is 2, and (2,3,4) doesn't qualify.

No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.No. A prime number must, itself, be a natural number.

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.

No. Any three consecutive numbers will have at least one of them which is divisible by 2, which means it cannot be prime. And since 1 is not considered a prime number, it cannot happen.

As the number 1 is considered a special case and not a prime, there cannot be three consecutive numbers that are prime. Any three consecutive numbers must include at least one even number. With the exception of the number 2, no even numbers are prime.

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.

The only consecutive prime numbers are 2 and 3.

2 and 3 are consecutive numbers that are prime.

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

It's impossible to find consecutive prime numbers after two because every other number after that is even and therefore divisible by two.

2 and 3 are the only consecutive prime numbers.

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