# How to identify a large prime number Let us start with the definition of a Prime Number.

Do you remember?

A natural number that can be divided by only 2 numbers – 1 and the number itself is called a prime number.

The first prime number that comes to our mind is “1” but if you had paid attention to your Math teacher, then you will know that: 1 is neither primer nor composite. The reason behind this conclusion is a topic for another post. Let us look at identifying prime numbers.

6 – Prime or Composite?

Steps to identify prime numbers

1) Divide the number into factors

2) If the number of factors is more than two then it is composite.

Ex: 6 has three factors 2, 3, 1. So 6 is not prime
6 = 2 x 3 x 1

Before going into shortcuts to find large prime number, here are a few properties of Prime Numbers

1) The lowest even prime number is 2

2) The lowest odd prime number is 3

3) All prime numbers above 3 can be represented by the formula 6n + 1 and 6n -1 for n>=1

Prove It!

Take 5 = 6 x 1 -1
Take 7 = 6 x 1 + 1
Take 47 = 6 x 8 – 1

4) There are 25 prime number between 1 and 100

List Them: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

P.S: Learn the series for GMAT.

5) All prime numbers except 2 and 5 ends in 1, 3, 7 or 9 (noticed it?)

How to find whether a large number is prime or not

Let us take a number 2,329

Step 1: If the number ends in 0,2,4,6,8 then it is not prime

Step 2: Add the digits of your number; if the sum is divisible by 3 then it is not a prime number

2329 = 2 + 3 + 2 + 9 = 16

Still would be a prime number!

Step 3: If Steps 1 and 2 are not true then find the square root of the number

48.25

Step 4: Divide the number by all prime numbers less than 48.25 (exclude 2, 3, 5)

Prime Numbers less than 48: 7,11,13,17,19,23,29,31,37,41,43,47

Still would be a prime number!!!!!

Dammit!!!

2329 = 17 x 137 (Divisible by 17)

2329 is not a prime number.

Now try a large prime number and let us know whether the method works! We at F1GMAT have been contacted by computer programmers about this method. Trying multiple large numbers is the only test that you can perform before creating a foolproof algorithm.

This technique applies to Quant questions in Computer Adaptive tests. 1. Complete GMAT RC Questions in less than 1 minute and 50 seconds
3. Take Notes Effectively
4. Collect and Interpret Facts
5. Speed up Summary Creation
6. Remember Information
7. Question the Author

12. Learn to Answer GMAT organization of passage Question
13. Learn to identify the style/tone or attitude of the author

Mastering GMAT Critical Reasoning After you read F1GMAT’s Mastering GMAT Critical Reasoning Guide, you will learn:

How to overcome flawed thinking in GMAT Critical Reasoning?

How to spot Inconsistencies in Arguments

How to eliminate out of scope answer choices using Necessary and Sufficient Conditions

How to Paraphrase GMAT Critical Reasoning Question

How to Answer Assumption Question Type

How to Answer Conclusion Question Type

How to Answer Inference Question Type

How to Answer Strengthen Question Type

How to Answer Weaken Question Type

How to Answer bold-faced and Summary Question Types

How to Answer Parallel Reasoning Questions

How to Answer the Fill in the Blanks Question

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