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# Why are 2 and 3 the only consecutive prime numbers?

Updated: 4/28/2022

Wiki User

13y ago

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.

Wiki User

13y ago

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Q: Why are 2 and 3 the only consecutive prime numbers?
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Related questions

### How do you get consecutive prime numbers?

The only consecutive prime numbers are 2 and 3.

### What are prime consecutive numbers?

2 and 3 are the only example of consecutive prime numbers.

### What does consecutive prime numbers mean?

2 and 3 are the only consecutive prime numbers.

### 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.

### What are consecutive prime?

2 and 3 are the only consecutive prime numbers.

### What are two consecutive prime numbers called?

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

### What are All the consecutive prime numbers to 100?

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

### What are pair of consecutive prime numbers?

2 and 3 are consecutive numbers that are prime.

### What is a consecutive primes?

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

### How many consecutive prime number are there in 100?

2 and 3 are the only consecutive prime numbers.

### What are consecutive prime numbers?

2 and 3 are consecutive prime numbers.

### 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.