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Yes. To prove this, we must first assume the answer to be no. If there are a finite number of primes, there must be a largest prime. We'll call this Prime number n. n! is n*(n-1)*(n-2)*...*3*2*1. n!, therefore, is divisible by all numbers smaller than or equal to n. It follows, then that n!+1 is divisible by none of them, except for 1. There are two possibilities: n!+1 is divisible by prime numbers between n and n!, or it is itself prime. Either way, we have proved that there are prime numbers greater than n, contradicting our initial assumption that primes are finite, proving that the number of primes is infinite.

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Because there are an infinite number of numbers, it would stand to reason that there are an infinite number of prime and composite numbers.

Since there are an infinite number of prime numbers, there are infinite numbers with any given number of prime factors.

No, there are an infinite amount of non-prime numbers just as there are an infinite number of prime numbers.

It is impossible to know the number of prime numbers because there is an infinite number of them.

Infinity. There's an infinite number of place values, so you can create an infinite number of numbers that start with nine. Some of these will be prime, and since there is an infinite number of numbers starting with nine, there is an infinite number of prime numbers that start with 9 as well.

Well, there is an infinite number of numbers, so technically, there is an infinite amount of prime numbers.

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

Yes.

There are an infinite number of prime numbers.

There is an infinite number of prime numbers after 500!

Yes - there are an infinite number of prime numbers. The first prime number after 100100 is 100103.

numbers are infinite. There is no end of numbers

There is an infinite number of prime numbers. It is not possible to list them.

It is impossible to list the infinite number of higher prime numbers.

An infinite number.

An infinite number.

The prime numbers after 200 are infinite. The next prime number after 200 is 211.

There are infinitely many of them.Some of them are given by:All numbers of the form 3n+1/n for n âˆˆ the prime numbers are rational numbers between 3 & 4, and as there are an infinite number of prime numbers, there are an infinite number of these.All numbers of the form 4n+1/n for n âˆˆ the prime numbers are rational numbers between 4 & 5, and as there are an infinite number of prime numbers, there are an infinite number of these.There are still more than the infinitely many given above.

It is impossible to list the infinite number of prime numbers and composite numbers.

Impossible to know; prime numbers are infinite.

Prime numbers are abundant, in fact there is an infinite about of prime numbers. There is just and infinitely greater amount of non-prime numbers.

There cannot be the last two prime numbers because there are an infinite number of them.

There are an infinite amount of such numbers.

An infinite number.

Impossible. The number is infinite.