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Q: Why are prime numbers prime numbers?

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Multiples of prime numbers are not prime numbers.

You can not factor prime numbers, that is why they are prime numbers

Any two prime numbers will be relatively prime. Numbers are relatively prime if they do not have any prime factors in common. Prime numbers have only themselves as prime factors, so all prime numbers are relatively prime to the others.

Prime numbers are divisible because any numbers that are divisible are prime. If a number isn't divisible, it isn't prime. Prime numbers have to be divisible by at least one pair of numbers to be prime.

Just go to a table of prime numbers, find the prime numbers, and add them.Just go to a table of prime numbers, find the prime numbers, and add them.Just go to a table of prime numbers, find the prime numbers, and add them.Just go to a table of prime numbers, find the prime numbers, and add them.

Numbers that are not prime numbers are called composite numbers.

No, prime numbers are only prime.

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.

Prime numbers are prime factors.

No - co-prime numbers are pairs of numbers which share no positive integer factors apart from 1. Twin prime numbers are a pair of prime numbers with a difference of 2.

No, prime factorizations consist entirely of prime numbers.

There is no need to do prime factorization as prime numbers are already prime. You do not need to find the prime numbers that when multiplied together create the number.

Composite numbers are divisible by prime numbers.

Well, when you think about it, all numbers that are even numbers are prime numbers... except 2 ISN'T a prime number!

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

It is impossible for the product of two prime numbers to be prime. It is impossible for the sum of two prime numbers to be prime as long as one of the numbers isn't 2.

If the numbers are prime numbers, the prime factor of each number is the number itself. If the numbers are not prime numbers, the prime factors of each number are each of the prime numbers by which the number in question can be divided without a remainder.

There is no need to do prime factorization as prime numbers are already prime.

Numbers can't have prime numbers, some numbers are prime numbers. Prime numbers are numbers that have no factors other than 1 and itself. 85 is not a prime number because its factors are 1, 5, 17, and 85.

Numbers other than prime prime numbers are composite numbers. Only whole numbers should be considered for prime & composite numbers. However, '1' is an exceptional case because it is neither prime nor composite.

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

All composite numbers do. All prime numbers are already prime.

Prime numbers that are next to each other on the list of prime numbers.

Co-prime numbers, relatively prime numbers and any set of prime numbers.

Products of prime numbers are composite numbers.