How to calculate $3*5*17*257-3^{16}$ using factorization formulas? look at this:
$2*4*10*82*6562-3^{16}$
It's easy to calculate it with elementary arithmetic.
but how to calculate it using factorization formulas?

Hints: $$3 \cdot 5 \cdot 17 \cdot 257 = (2-1)(2+1)(2^2+1)(2^4+1)(2^8+1) = (2^2-1)(2^2+1)(2^4+1)(2^8+1) = \dots$$
$$2 \cdot 4 \cdot 10 \cdot 82 \cdot 6562 = (3-1)(3+1)(3^2+1)(3^4+1)(3^8+1)=\dots$$
