Factorization of Proth numbers with $k=1$

Question

This is more of a practical question, for anyone out there who might know where to start. I'm looking for a complete factorization of numbers of the form $2^n+1$ for positive integers $n$. Essentially Proth numbers with $k=1$.

For small enough numbers, I can factorize them myself, but I was wondering if there is some dataset out there that would contain factorization of larger numbers of this form.

Answer 1

See the Cunningham tables for factorizations of the numbers $b^n \pm 1$

for $b = 2, 3, 5, 6, 7, 10, 11, 12$, up to high powers $n$.