Which Numbers Are Prime Numbers?

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A number is considered to be prime if it meets some very specific characteristics. Learn about which numbers are prime numbers with help from a longtime mathematics educator in this free video clip.

Part of the Video Series: Number Theory Education
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Video Transcript

Hi, I'm Jimmy Chang, and we're here to answer the question, which numbers are prime numbers. Now, the rough definition of a prime number is a number whose only div, whose only divisors are one and itself. So, one and itself are the only divisors. Now, keep in mind this does not include one because does not fit the description of a prime number because in order to be a prime number, it has to be one and another unique number. So, you can't say one and one, 'cause that's like a repeat. But, if you have two, two is a prime number because the only divisors are one and itself, as well as three; now, four is not, five is and then six has divisors two and three; so that's not prime. You have seven, eleven, thirteen, etc. Now, it does keep on going, but there's no actual pattern to this. Now, but basically the idea is in terms of which numbers are prime are the numbers whose only divisors or are going to consider factors are one and itself and nothing else. Now, we're at a point now where computers are trying to figure out the next prime because the pattern does, not the pattern rather but the prime numbers keep on going with no stopping. So, I'm Jimmy Chang and that answers the question, "Which numbers are prime numbers?"


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