Prime Numbers

How do you know that there are not more than two consecutive prime numbers?

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2010-09-04 17:34:59
2010-09-04 17:34:59

Because any number divisible by 2 is not a Prime number, so any even no. is divisible by 2. Thus any number higher than 3 will be divisible by 2. Therefore the only consecutive prime nos. are 1, 2 and 3

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Related Questions


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.


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



(3,5), (5,7), (11,13), (17,19) plus infinitely more.


There are many cases of prime numbers with a difference of 8, for example (3, 11), and (101, 109). Look at a list of prime numbers, and you will quickly find more examples. If you mean, without other prime numbers in between, I believe the first such pair is (89, 97). I am pretty sure you will find more - just look at a table of prime numbers.


numbers with patterns; consecutive numbers: 1,2,3,4... consecutive even numbers: 2,4,6,8... and many more Consecutive numbers are numbers that come one after another. For example 5, 6, 7 or 99 and 100.


Prime numbers have two factors. Composite numbers have more than two.


No, there are more composite numbers than prime numbers.


Yes - consecutive serial numbers make them more valuable, when sold.


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.


There are more odd numbers than prime numbers.


There are more than 25 prime numbers; there are an infinite number of prime numbers.


there are more composite numbers the prime becuz more things can be divided into


Yes, there are many more composite numbers than prime.


There are more than 10 prime numbers


The knowledge of prime numbers is useful when finding the lowest common multiple or the highest common factor of two or more numbers.


they help you know whick numbers are prime meaning its only factors are itself and one and which numbers have more factors than itself and 1.


All prime numbers are odd, exept of the first prime number 2.



There are more composite numbers.


Prime numbers have two factors, composite numbers have more than two.


This can be an extension to the proof that there are infinitely many prime numbers. If there are infinitely many prime numbers, then there are also infinitely many PRODUCTS of prime numbers. Those numbers that are the product of 2 or more prime numbers are not prime numbers.


There are more composite numbers than prime numbers because most numbers have more factors than just 1 and a number itself.


A prime number is only divisible by itself and the number one. Prime numbers have to be odd (except for the number 2, which is prime). So smaller numbers like 7 are usually pretty easy to determine if they are prime. But the higher the number value gets, the more complicated it is to determine. So people post a list of prime numbers on the internet so you'll know what the prime numbers are.


prime numbers are anything that has two or more factors (1 and its self)



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