Physics – General Physics
Scientific paper
2005-03-18
Physics
General Physics
8 pages, LaTeX, v1: correction to a_{C_N}\neq 1 and improved analysis to general case, v2: added addendum paper to original an
Scientific paper
An algorithm is given to factor an integer with $N$ digits in $\ln^m N$
steps, with $m$ approximately 4 or 5. Textbook quadratic sieve methods are
exponentially slower. An improvement with the aid of an a particular function
would provide a further exponential speedup.
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