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Because in later sequences of three consecutive odd numbers, one of them must be divisible by 3.

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โˆ™ 2013-11-19 20:52:04
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Q: Why 3 and 5 and 7 are the only three consecutive odd 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 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.


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.


Can you get three consecutive prime numbers?

Only 1 2 3


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.


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.


Can 3 consecutive whole numbers be primes?

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.


How many consecutive prime number are there in 100?

2 and 3 are the only consecutive prime numbers.


Why 35 and 7 are the only three consecutive odd prime numbers?

If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.If you take three consecutive odd (or three consecutive even) numbers, one of the three will always be a multiple of 3.


What is the only prime number that is the sum of four consecutive prime numbers?

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


What are consecutive primes?

2 and 3 are the only consecutive prime numbers.


What is a consecutive primes?

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


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.


Is it that 3 consecutive whole number can be prime factors Explain?

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.


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.


Are 2 and 3 the only two consecutive prime numbers?

Small distinction. They are the only two consecutive numbers that are prime. 5 and 7, 7 and 11, 11 and 13 and so on are consecutive primes.


What one-digit number is the product of two consecutive prime numbers?

There are only two prime numbers that are consecutive numbers, 2 and 3. Their product is 2 x 3 = 6. The first prime numbers are 2, 3, 5, and 7 and the only two consecutive prime numbers whose product is a single digit are 2 and 3. (The next two consecutive prime numbers, 3 and 5, have a two-digit product.)


Other that 2 and 3 can two numbers be prime numbers?

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


Can 2 consecutive numbers in prime factorization be prime?

The only one pair of consecutive prime numbers possible are 2 and 3. After these very two numbers, every even number is a multiple of two. Furthermore, after 10, every number ending if five is a multiple of five. So, then no two prime numbers can be consecutive anymore. The span between prime numbers then only get wider and wider as the numbers continue to count upwards.


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.


Can two consecutive whole numbers whole numbers be prime?

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.


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

Because two is the only even prime number.


What are pairs of consecutive prime numbers?

The only pair is 2 and 3.