SOLUTION: I tried this problem but still can't figure it out after hours of calculations. What number comes next in the sequence?? 61, 691, 163, 487, 4201, ___ ? Thank you so much

Algebra ->  Sequences-and-series -> SOLUTION: I tried this problem but still can't figure it out after hours of calculations. What number comes next in the sequence?? 61, 691, 163, 487, 4201, ___ ? Thank you so much       Log On


   

Question 84876: I tried this problem but still can't figure it out after hours of calculations.
What number comes next in the sequence??
61, 691, 163, 487, 4201, ___ ?
Thank you so much for helping.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you look at the sequence, you'll notice that every number is prime. Also, if you reverse each number, you get:

16,196,361,784,1024

and each of these numbers are perfect squares. So which number is prime and if reversed is a perfect square? Well to save you time the number is 9631. The reverse of that number, 1369, is a perfect square, and 9631 is prime.
So the next number in the sequence is 9361