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There are an infinite number of prime numbers. The first to have proven this was Euclid. Here are the general lines of his proof:

  1. Suppose there are n prime numbers overall.
  2. Let N be a common multiple of all these primes.
  3. Is N+1 prime? If it is, we have found a new prime.
  4. Suppose N+1 is not prime. Thus, there exists a Prime number p which divides N+1 evenly. If p is one of the primes dividing N, it also divides 1 evenly, which is impossible. Thus, p is not one of the n primes, and we found a new prime.

(see the related link for a list of the first 500 prime numbers)

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13y ago
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11y ago

That's an infinite amount.

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The answer depends on how many prime numbers are whose!


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There are infinitely many prime numbers and therefore they cannot be listed.There are infinitely many prime numbers and therefore they cannot be listed.There are infinitely many prime numbers and therefore they cannot be listed.There are infinitely many prime numbers and therefore they cannot be listed.


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There are infinite prime numbers as there is infinite numbers. You cannot limit the counting of primes.


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Infinitely many numbers are relatively prime to 37. Because 37 is a prime number, all other numbers are relatively prime to it.


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Since there are infinitely many prime numbers there are infinitely many sets of three prime numbers and so there are infinitely many products.