i think no one could solve this series,could you?

Question

2,64,8120601,.........

i dont like this kind of serieses so i composed it by my own.

Answer 1

There could be lots of representations for this series,
but I think there are too few numbers to discern a pattern.
I do wonder why you picked 8120601, or was it random,
because it is interesting in that it equals 3^3 * 67^3.
Anyway, polynomials are easy to construct, so that's what
I've done here.
Use the following formula :

x = (8120475*n^2 - 24361301*n + 16240830) / 2

When n = 1, x = 2.
When n = 2, x = 64.
When n = 3, x = 8120601.
The next number will be when n = 4 and it is x = 24361613.

EDIT : Note that this formula is, most probably, really only
correct for n = 1, 2 and 3. If you have a fourth term that is
different from mine, then obviously, this formula is incorrect.

Answer 2

there are not enough terms
Complete your question.

Answer 3

ummmmmmmm............