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Assuming you mean other than 2 and 3, there can't be any others because one of the two consecutive numbers would be even, in which case it is either identical to 2 or divisible by 2. Since 1 is not regarded as prime, this leaves only 2 and 3.

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Q: Why can there never be another pair of constructive numbers that are both prime?
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Related questions

Is the product of two prime numbers not a prime number?

The product of two prime numbers can never be another prime number, the numbers that you multiplied are factors of the product. (example, 9 times 5 is 45, 9 and 5 go into 45)


Are co prime numbers always or never prime numbers?

Sometimes.


Is it true that prime numbers can never be even numbers?

No, 2 is prime.


Why is there an infinite number of prime numbers?

Numbers never end. You can always continue to add another digit to a number and make it larger. Because this is the case, you can continue to look forward forever for prime numbers. The difference/distance between the numbers may grow, but prime numbers will continue to appear.


When you add two prime numbers the sum is never prime?

This is false. 3 + 4= 7. But two numbers (besides the number itself and 1) times each ather are never prime. This is how we get prime numbers.


Could prime numbers never be even numbers?

The only even prime number is 2.


Why do we use decimal prime numbers?

Prime numbers are prime numbers - whether we count in the decimal, binary, hexadecimal or another base.


When is product of 2 prime numbers a prime number?

The product of two prime numbers is always a composite number, and it never is a prime number.


Does the prime factorization of any composite number include prime and composite numbers?

Prime factorization never includes a composite number. All numbers in prime factorization must be prime numbers.


When is the product of two prime numbers not a prime number?

The product of any two numbers, neither of which is 1, is never a prime number.


Is 218 a prime number?

No! Even numbers are never prime (except for two).


Are two prime numbers always sometimes or never relatively prime?

Always