Which number should come next in the series 2, 3, 7, 16, 32, ?

Explanation

1. 01

   Differences: 1, 4, 9, 16. These are $1^2, 2^2, 3^2, 4^2$.

2. 02

   The next difference is $5^2 = 25$, so the next term is $32 + 25 = 57$.