0
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 consecutive
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.
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.
Add your answer:
Earn +20 pts
What are consecutive prime?
2 and 3 are the only consecutive prime numbers.
Why can't two consecutive whole numbers be prime?
In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.
What does consecutive mean in maths?
In numerical order, with no missing numbers. 1, 2, 3, and 4 are consecutive. 1, 3, 4, and 2 are the same numbers, but are not consecutive because they are not in order. 1, 3, and 4 are not consecutive because 2 is missing.
What is the pattern of 2 3 5 7 11 13?
They are consecutive prime numbers 2 3 5 7 11 13 17 19 23 29 31 ..... etc
If three consecutive numbers add up to eighteen what is the smallest of the numbers?
Let be x the smallest number. So, the second number will be x + 1, and the third one will be x + 2. So, x + (x + 1) + (x + 2) = 18 3x + 3 = 18 subtract 3 to both sides; 3x = 15 divide by 3 to both sides; x = 5 Thus, the smallest number is 5. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Couldn't you also just use the factors of 18: 1, 2, 3, 6, 9, 18 Prime Numbers: 3 x 3 x 2 Smallest Number is then 2. You are right, 2 is the smallest prime number in the prime factorization of 18. But, the question is that three consecutive numbers are added up to 18, and 3 x 3 x 2 is a multiplication. However, 2 and 3 are consecutive so the third number will be 4 not 3. I didn't catch the consecutive part. Good call and thanks for the input.
How are 2 and 3 consecutive prime numbers?
2 and 3 are consecutive numbers and they are both prime.
What are consecutive prime numbers?
2 and 3 are consecutive prime numbers.
How do you get consecutive prime numbers?
The only consecutive prime numbers are 2 and 3.
What are consecutive prime?
2 and 3 are the only consecutive prime numbers.
What are pair of consecutive prime numbers?
2 and 3 are consecutive numbers that are prime.
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 are all the pairs of prime numbers that are consecutive numbers?
The numbers 2 and 3 are consecutive prime numbers. Are there other pairs of prime numbers which are consecutive 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 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 can't two consecutive whole numbers be prime?
In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.In fact, they can. 2 and 3 are consecutive prime numbers.For larger numbers, one of two consecutive numbers will always be even, and therefore, not a prime.
