Question

How many prime numbers are of the form 10n + 1, where n is a whole number such that 1 ≤n <10?

Answer 1

Answer: There are 5 primes .

They are : 11,31,41,61,71

Answer 2

5 Prime numbers are of the form 10n + 1,  where n is a whole number such that 1 ≤n <10

Given : Numbers of the form 10n +1  where n  is a whole number such that 1 ≤n <10

To Find: How many of them are prime numbers

Solution:

Numbers of the form 10n +1  

n  is a whole number such that 1 ≤n <10

Substituting n = 1

number is 10(1) + 1 = 11

Substituting n = 2

number is 10(2) + 1 = 21

and so on till  n = 9   as n < 10

number is 10(9) + 1 = 91

Numbers are

11 , 21 , 31 , 41 , 51 , 61  , 71 , 81 , 91

Prime numbers are numbers which has exactly 2 factor , one and the number itself

Prime numbers in above numbers are :

11 , 31 , 41 , 61 , 71  

Hence 5 Prime numbers  are of the form 10n + 1,  where n is a whole number such that 1 ≤n <10

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