
arXiv: 1408.2608
A deterministic algorithm for factoring n n using n 1 / 3 + o ( 1 ) n^{1/3+o(1)} bit operations is presented. The algorithm tests the divisibility of n n by all the integers in a short interval at once rather than integer by integer as in trial division. The algorithm is implemented.
computational complexity, Mathematics - Number Theory, Continued fractions, integer factorization, FOS: Mathematics, continued fractions, deterministic algorithm, Number Theory (math.NT), Factorization, Factorization; primality, Number-theoretic algorithms; complexity
computational complexity, Mathematics - Number Theory, Continued fractions, integer factorization, FOS: Mathematics, continued fractions, deterministic algorithm, Number Theory (math.NT), Factorization, Factorization; primality, Number-theoretic algorithms; complexity
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