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The only prime numbers with a difference of 1 are the numbers 2 and 3. More consecutive numbers are not possible, since one of the two would have to be even - and an even number is divisible by 2, and therefore not a Prime number (2, of course, is a prime number, but larger even numbers are not).
The most you can expect with larger prime numbers is a difference of 2. Very large such "prime twins" are known; a few are 3 and 5; 101 and 103, but much larger ones are known, as well. It is not yet known whether there are an infinite number of twin primes.
The only prime numbers with a difference of 1 are the numbers 2 and 3. More consecutive numbers are not possible, since one of the two would have to be even - and an even number is divisible by 2, and therefore not a prime number (2, of course, is a prime number, but larger even numbers are not).
The most you can expect with larger prime numbers is a difference of 2. Very large such "prime twins" are known; a few are 3 and 5; 101 and 103, but much larger ones are known, as well. It is not yet known whether there are an infinite number of twin primes.
The only prime numbers with a difference of 1 are the numbers 2 and 3. More consecutive numbers are not possible, since one of the two would have to be even - and an even number is divisible by 2, and therefore not a prime number (2, of course, is a prime number, but larger even numbers are not).
The most you can expect with larger prime numbers is a difference of 2. Very large such "prime twins" are known; a few are 3 and 5; 101 and 103, but much larger ones are known, as well. It is not yet known whether there are an infinite number of twin primes.
The only prime numbers with a difference of 1 are the numbers 2 and 3. More consecutive numbers are not possible, since one of the two would have to be even - and an even number is divisible by 2, and therefore not a prime number (2, of course, is a prime number, but larger even numbers are not).
The most you can expect with larger prime numbers is a difference of 2. Very large such "prime twins" are known; a few are 3 and 5; 101 and 103, but much larger ones are known, as well. It is not yet known whether there are an infinite number of twin primes.
Wiki User
∙ 14y ago
Wiki User
∙ 14y agoThe only prime numbers with a difference of 1 are the numbers 2 and 3. More consecutive numbers are not possible, since one of the two would have to be even - and an even number is divisible by 2, and therefore not a prime number (2, of course, is a prime number, but larger even numbers are not).
The most you can expect with larger prime numbers is a difference of 2. Very large such "prime twins" are known; a few are 3 and 5; 101 and 103, but much larger ones are known, as well. It is not yet known whether there are an infinite number of twin primes.
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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.
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 some relatively prime numbers?
4 and 9 Any consecutive whole numbers.
Can 3 consecutive whole numbers be primes?
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.
Why aren't there any other pairs of consecutive prime numbers?
Ah hah! You didn't say so, but you must be talking about 2 and 3 ... the only two consecutive numbers that are both prime numbers. There can't be any others. Because if you have any other two consecutive numbers, one of them has to be an even number ... divisible by 2. Since that number is divisible by 2, it's not a prime number.
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.
A pair of consecutive co prime numbers?
Any pair of consecutive integers is co-prime.
What numbers have a prime gcf?
Any consecutive even numbers.
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 some relatively prime numbers?
4 and 9 Any consecutive whole numbers.
Are there any other consecutive prime numbers beside 2 and3?
No.
Can 3 consecutive whole numbers be primes?
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.
Is it impossible to find three consecutive odd numbers that are prime?
After (3, 5, 7), you can't have any more such "triplets", since one of the three must needs be a multiple of 3.
What is the smallest difference between any two consecutive prime numbers?
1
Why aren't there any other pairs of consecutive prime numbers?
Ah hah! You didn't say so, but you must be talking about 2 and 3 ... the only two consecutive numbers that are both prime numbers. There can't be any others. Because if you have any other two consecutive numbers, one of them has to be an even number ... divisible by 2. Since that number is divisible by 2, it's not a prime number.
Why arent there any other consecutive prime numbers besides 2 and 3?
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.
