Prime Numbers FAQ And List


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Shown above is a visual image of all Prime Numbers up to 1,000. In case you wonder, 168 numbers between 1 and 1,000 are Prime. 

Scroll down for the Top 10 Frequently Asked Questions (and Answers!) about Primes. 

Scroll further down to see related links. 


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Prime Numbers FAQ


1. What Is A Prime Number? 

A prime number is a whole number, or a positive integer, than can only be divided (into another whole number) by itself, and by the number 1. 




2. How Many Prime Numbers exist?

Nobody knows for sure how many primes exist altogether.

Four (4) of the numbers between 1 and 10 are prime numbers (40%).

Twenty-five (25) numbers between 1 and 100 are prime numbers (25%). 

In the numbers between 1 and 1,000, 168 of them are prime (16.8%). 

Between 1 and 10,000, there are 1,229 prime numbers (12.29%). 

The percentage of primes seems to decrease as the numbers get bigger. 




3. Is '1' a Prime Number? 

The number '1' is not typically considered a prime number, although it does fit the technical definition of a prime — A number than can only be divided by itself, and by the number 1. In this case, those 2 numbers are one and the same. 





4. Why are they called Prime Numbers?

In ancient times, Prime Numbers were considered the primary basis from which all other numbers arise (through multiplication). 




5. How are Prime Numbers found? 

Prime Numbers are most often found by way of a mathematical formula called a polynomial





6. Is there a pattern to Prime Numbers?

For centuries, mathematicians have failed to find a recognizable "pattern" for Prime Numbers. 

However, there are certain facts about Primes that can help us determine more quickly whether or not a number is prime. 

For example, 2 and 5 are both prime numbers. That means ALL other Primes MUST end with the digit 1, 3, 7, or 9, so that they are NOT divisible by either 2 or 5. 

In 2016, two mathematicians also noticed that a prime number has a tendency to avoid repeating the same last digit as the immediately preceding prime number. 

Still, for all practical purposes, mathematicians treat prime numbers as if they occur randomly. 




7. Why are Prime Numbers important? 

Primes are the basis for other numbers. In other words, EVERY number is either a prime number itself, or can be built by multiplying prime numbers together. 

For instance, 84 is (2 x 2 x 3 x 7). 




8. What is the one millionth prime number?

15,485,863. 




9. Are all prime numbers odd numbers? 

No. The number '2' is, in fact, the ONLY prime number that is even. All other even numbers can be divided evenly by 2. 




10. What is the largest known Prime Number?

The largest known Prime Number contains 24,862,048 digits, and is too long to be typed on this page. 




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