Series man is back

The series is in the form $2^{k} +1$ where k is {0 , 4 , 8 , 12 , 16, ……………}

Hence the sum of next two number of series is $2^{12} + 1 + 2^{16} + 1$

Which is equal to 69634

The solution is 1^4+1,2^4+1,4^4+1,... Therefore the next two numbers are... 8^4+1and16^4+1 Which is 4097 and 65537... Therefore after adding we get. 69634 as the answer