Not in a hurry. In principle, here's what you have to do. (This procedure is especially useful when you're letting a computer do it. I've examined all of the numbers up to several million this way):
Check every integer, from 2 up to 1/2 of the number you're wondering about.
For each one, divide it into the number you're wondering about, to see whether the smaller number is a factor of the bigger one.
If you make it all the way from 2 up to 1/2 of the big number without finding a factor, then the big number is prime.
Yes, it can only be divided by itself and 1. What I mean is for example. 3 is a prime. You can divide it by 3 and 1 to get a whole number. 4 is not, you can divide it by 1,2 and 4
To check if a number is prime, look for divisibility by integers from 2 to the square root of the number. If no divisors are found in that range, the number is prime. For example, 29 is prime because it isn't divisible by any integers between 2 and 5.
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