Pattern Recognition - 23

Find the next two numbers in the series.

1,2,5,26,677,_,_,....... 


Answer

Tn=(Tn-1) ^ 2 +1                       

n^2 means n*n


2     =(1 * 1)+1
5     =(2*2)+1
26   =(5*5)+1
677 =(26*26)+1


Next two numbers


(677*677)+1=458330
(458329 * 458329)+1=210066388901


1, 2 , 5 ,26 ,677 , 458330, 210066388901,.......