Question

How can I find a prime number? I need to find the 25th, 100st and 253st prime numbers. Which are the rules of defining a prime number? I will be learning programming and now am studying math for programmers. Please help!

Answer 1

So from the table I can see that:

• 25th prime number is 97

• 100st prime number is 541

• 253st prime number is 1607

Thanks!

Answer 2

First you need to know some IMPORTANT rules about the prime numbers. Some of them:

1. A prime number can be divided, without a remainder, only by itself and by 1. For example, 17 can be divided only by 17 and by 1.
2. The only even prime number is 2. All other even numbers can be divided by 2.
3. Zero and 1 are not considered prime numbers.
4. To prove whether a number is a prime number, first try dividing it by 2, and see if you get a whole number. If you do, it can't be a prime number. If you don't get a whole number, next try dividing it by prime numbers: 3, 5, 7, 11 (9 is divisible by 3) and so on, always dividing by a prime number.

Answer 3

Here is a list (or table) of the first 62 prime numbers - UP TO 300 (the last one is 293) (you can count and find yours HERE: https://www.mathsisfun.com/numbers/prime-numbers-to-10k.html

2	3	5	7	11	13	17	19	23
29	31	37	41	43	47	53	59	61	67
71	73	79	83	89	97	101	103	107	109
113	127	131	137	139	149	151	157	163	167
173	179	181	191	193	197	199	211	223	227
229	233	239	241	251	257	263	269	271	277
281	283	293

 

Answer 4

Do you know that the largest currently known prime, 2^43,112,609– 1, was found by the electrical engineer Hans-Michael Elvenich in 2008.

It has 12,978,189 digits!!

Answer 5

You can also use this link: https://primes.utm.edu/lists/small/10000.txt