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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.

Q: Why aren't there any other pairs of consecutive prime numbers?

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

(5,6) (6,7) (14,15)

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.

7

Although not specified as such, "consecutive" requires the numbers to be integers. Two pairs literally means four numbers but there are not four consecutive integers that add up to to 5280. 1318 + 1319 + 1320 + 1321 = 5278 and 1319 + 1320 + 1321 + 1322 = 5282. Four consecutive numbers must add up to an even number that is not a multiple of 4. If by two pairs, the question meant ONE pair (!!), again there is no answer since the sum of any pair of consecutive numbers must be an odd number.

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

Adding consecutive pairs of numbers will always turn out to be an odd number. It would have to be consecutive odd numbers: 45 and 47.

2 and 3

(5,6) (6,7) (14,15)

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.

Yes there is there should be!

The factor pairs of 1295 are (1295,1)(259,5)(185,7)(37,35) None of them are consecutive. 35 and 37 are consecutive odd numbers.

7

Consecutive whole numbers are integer pairs of the form n and n+1. There can be no integer, such as 110, between such numbers.

Although not specified as such, "consecutive" requires the numbers to be integers. Two pairs literally means four numbers but there are not four consecutive integers that add up to to 5280. 1318 + 1319 + 1320 + 1321 = 5278 and 1319 + 1320 + 1321 + 1322 = 5282. Four consecutive numbers must add up to an even number that is not a multiple of 4. If by two pairs, the question meant ONE pair (!!), again there is no answer since the sum of any pair of consecutive numbers must be an odd number.

It's any set of consecutive integers that are composite. For instance, 8, 9, and 10 are consecutive composites.

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