Special number field sieve (First Category Integer Factoring Integer Factoring)
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Time Complexity
$O(exp(({1}+o({1})$)({32}n/{9})^{({1}/{3})}(log n)^{({2}/{3})}) heuristically?
Space Complexity
$O(n^{2/3})$ bits
(http://www.ams.org/notices/199612/pomerance.pdf)
Description
For integers of the form $r^e \pm s$, for r and s relatively small
Approximate?
Exact
Randomized?
No, deterministic
Model of Computation
Year
1940