What are Emirp Numbers?

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Do you know what is an Emirp Number? If you look at the word Emirp carefully, you will observe that it is the word “Prime” spelled in reverse order. Hence, it is quite evident that an Emirp number is related to a Prime number. 

 

What are Emirp Numbers?

 
Definition: We can define an Emirp number as “a prime number which if written in reverse order, that is, if its digits are reversed, gives a different prime number.” Emirp numbers are also called twisted Prime numbers.
 
For example: 13 is a prime number. When its digits are reversed, it becomes 31, which is again a prime number. Hence, we can say that both 13 and 31 are Emirp numbers.
 
Similarily, 17 is a prime number. When its digits are reversed, it results in another prime number 71. Hence, we can say that both 17 and 71 are Emirp numbers.
 

You can also watch the video of Emirp Numbers.

 

Are Palindromes Emirp Numbers?

 
Palindromes or Palindromic numbers read the same backwards as forwards. Palindromes are not Emirp numbers. 
For example, Despite the fact that 101 is a prime number, it is not an Emirp number beause it is a palindrome.
 

List of Emirp Numbers

 
Here are few more examples of Emirp numbers.
 
13, 17, 31, 37, 71, 73, 79, 97, 107, 113, 149, 157, 167, 179, 199, 311, 337, 347, 359, 389, 701, 709, 733, 739, 743, 751, 761, 769, 907, 937, 941, 953, 967, 971, 983, 991… and many more.
 

 

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