Introduction to search prime number:

The following article will explain in detail about the prime numbers. I math the prime numbers are numbers which are divisible by 1 and the number itself. These numbers are not divisible by other numbers. We will discuss more about the prime numbers in the following paragraphs.

  

Search prime number:

 

Basically the term prime numbers is used to describe the numbers which are divisible by the number 1 and the number itself. These numbers should not be divisible by other numbers. Most of the prime numbers are odd numbers since the even numbers are divisible by the number 2. While we search for the prime numbers the number 1 should be omitted since the number 1 is not a prime number since it has only one divisor the number 1 so it cannot be called as a prime number.

The smallest 10 prime numbers are,

2,3,5,7,11,13,19,23,29,31.

There is infinite number of prime numbers in math.

 

Example problems on Search prime number:

 

Example of prome number:

The sum of two prime numbers is 24 and the product of the two numbers is 143. Find the two prime numbers.

Solution:

Let the numbers be x and y

From given,   x + y = 24 and xy = 143

xy = 143

x = 143/y

(143/y)+y = 24

143 + y2 = 24y

y2+24y-143 = 0

Factorizing we get,

(y-11)(y-13)= 0

y = 11 and y = 13

Example 2:

The three consecutive prime numbers yield a sum of 49 and the product of first two numbers is 221.The product of second two numbers is 323. Find the numbers.

Solution:

The numbers be x,y,z.

The sum of numbers x+y+z = 49.

The product of first two numbers is xy = 221.

x = 221/y

The product of second and third number is yz = 323.

z = 323/y

So x+y+z = 49 will be,

`221/y` +y+323/y = 49.

y2+221+323 = 49y

y2+544 - 49y = 0

Factorizing we get,

(y-17)(y-32)= 0

y = 17 and 32.

Since 32 is not a prime number y = 17.

x = 221/y = 221/17 = 13.

z = 323/y = 323/17 = 19

So the three consecutive prime numbers are 13,17,19.

 

Practice problems on Search prime number:

 

1. The product of two prime numbers is 1271. The difference of the two numbers is 10. Find the two prime numbers.

Answer: 31 and 41.