Question

Which of the following numbers belong to the series 5, 13, 21, 29, 37, …..
(1) 2018
(2) 2005
(3) 2010
(4) 2017

Answer 1

2017
IS THE CORRECT ANSWER TO THE question

Answer 2

(2) 2005.

The given series is an example of Pythagorean Primes so that numbers in it are primes of the form 4n+1.

As we can see that the first number of the series is 5 and then there is 13, both these numbers cannot be divided by any other number.

At the same time, the numbers in the series also progress by a value of 8.

In the sequence, when we progress further, a point will be reached when we will get 2005.

Hence, that is the answer.