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

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โˆ™ 2009-10-07 22:50:14
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Q: What are all the pairs of prime numbers that are consecutive numbers?
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Find all pairs of consecutive prime numbers?

The only two consecutive numbers that are both prime are 2 and 3. Since there are no other even prime numbers (other than 2), there are no more pairs of consecutive prime numbers. Therefore, the term "twin primes" usually refers to pairs of prime numbers that are 2 numbers apart. Examples are (3, 5), (5, 7), (11, 13), (101, 103), and many others more. It is not currently know whether there are infinitely many twin primes.


What are All the consecutive prime numbers to 100?

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


What is the Product of two consecutive prime numbers?

There is only one pair of consecutive prime numbers, and the prime numbers are two and three, because any pair of consecutive numbers has one odd and one even number, and two is the only even prime number, because all other even numbers can be divided by two, and the only pairs of consecutive numbers are one and two and three, but one is not prime because it only has one factor, thus making the only consecutive pair of primes two and three. But the problem asks for the product of the two numbers, not the numbers themselves, so just multiply two and three together to get a final result of six.


Can three consecutive whole numbers all be prime?

Yes but the on prime numbers are 2,3


Could three consecutive whole numbers all be prime numbers?

No.


Are there any pairs of prime numbers that when multiplied do not make their least common multiple?

The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.


Why are 2 and 3 the only consecutive prime numbers?

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.


Could you ever get three consecutive numbers which were all prime explain?

Yes 1 2 and 3 are consecutive and prime


What numbers from 1 to 100 are consecutive pair of numbers?

All of the numbers in that range are consecutive. If you're asking about prime numbers, it's just 2 and 3.


How many pairs of prime numbers are there which are consecutive odd integers?

There are an infinite number of prime numbers which are consecutive odd integers. Choose any natural number n. Take all primes up to any number n, take their product, and add 1 and subtract 1 from it. These 2 numbers are consecutive odd integers. eg 2*3*5*7 = 210 209 and 211 are primes which are consecutive odd integers.


Why are two and three the only consecutive prime numbers?

The number 2 is the only even prime number - all other even numbers are divisible by 2.


What are all the consecutive odd numbers up to 100 that are prime?

(3, 5, 7), (11,13), (17, 19), (29, 31), (41,43), (59, 61), and (71, 73) are the groups of consecutive odd prime numbers up to 100.


What three things have the numbers 3 5 and 7 in common?

They are all prime numbers. They are all consecutive odd numbers They are all factors of 105


Why is one the difference of the two prime numbers 2 and 3?

All consecutive integers have a difference of one.


Why are 2 and 3 consecutive prime numbers?

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.


What is the greatest common factor of 54 and 55?

The GCF is 1. Anytime there are two consecutive integers, their GCF will be 1.


Why is that there are no consecutive prime numbers?

2 and 3 are consecutive prime numbers; therefore, such a concept does exist, but those are the only two consecutive primes. The reason there are not any others: natural numbers alternate between odd and even numbers. When the number is even, then 2 is a factor. The number 2 is the only even prime number (it's only factors are 2 and 1). All other even numbers have factors, in addition to 2 & 1. So if a number is prime, and the number is not 2, then it is an odd number. The two numbers on either side of an odd number are even. So if the prime number is greater than 3, then the two numbers on either side of it will be even numbers, which are not primes.


How many pairs of prime numbers have a difference of 3?

Only 1 pair of prime numbers, 2 and 5, have a difference of 3. All prime numbers greater than 2 are odd so will have an even difference.


What are all of the twin prime numbers?

There are an infinite number of pairs of prime two apart, classified as "twin primes". For lists, see the link.


What are all the composite numbers between 50 and 100 that are relatively prime?

A single number cannot be relatively prime. Any pair of numbers between 50 and 100 of which one is a prime will be relatively prime. There are 728 pairs of numbers that are relatively prime and I have neither the time nor patience to list them all!


What are all the pairs of prime numbers that equal 98?

19 + 79, 31 + 67 and 37 + 61


What is true about all three pairs numbers 3 and 53 and 7 and 5 and 8?

They are relatively prime.


What are the common factors of 25 and 26?

1 is the only common factor of 25 and 26. 25 and 26 are "relatively prime," as are all pairs of consecutive integers.


What are the 10 two digit prime numbers that are the sum of two prime numbers?

For a 2-digit prime number (which are all odd) to be the sum of two prime numbers, one of the prime numbers will have to be 2. That means the difference between the sum and the other addend will have to be 2. Prime numbers that differ by 2 are called twin primes. There are six pairs of 2-digit twin primes. Your numbers are 13, 19, 31, 43, 61 and 73.


Do all numbers have a prime factorization?

All composite numbers do. All prime numbers are already prime.