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The larger the numbers get, the more prime numbers can appear as factors. In that case, the "probability" of having smaller factors increases for larger numbers.

In fact, there is a very important and interesting theorem known as the Prime number theorem. It deals with the chances that if you pick a number at random, how likely is it to be prime. One implication of the theorem is that the number of primes decreases asymptotically

as the numbers get very large.

Here are some data to help you see how dramatic the decreased density of primes is:

There are 4 primes among the first 10 integers; 25 among the first 100; 168 among the first 1,000; 1,229 among the first 10,000, and 9,592 among the first 100,000.

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Q: Why are there more prime numbers from 1-100 than 101-200?
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Are there more composite or prime numbers?

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What are the 25 prime numbers?

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


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