Pattern Recognition- 90

Find out the next two numbers in the series.

49, 2549 , 121169 , 289361, _ ,_ ,.......


Answer

49    -->  4 , 9
2549 -->  25,49
121169 --> 121 , 169
289361--->289 , 361

4 ,9 , 25 ,49 , 121, 169 , 289, 361 , ................

4= 2 * 2
9=3 * 3
25 =5 * 5
49=7 * 7
121 =11 * 11
169 =13 * 13
289= 17 * 17
361 =19 * 19
  
Tn=n * n  where n  is a  prime number
 
Next four prime numbers 23 , 29, 31 ,37

Next two numbers (23 *23 ) (29 *29) -- >529841
                          (31 * 31) (37 * 37)--> 9611369

49, 2549 , 121169 , 289361,  529841, 9611369,................