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In number theory, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer greater than 1 is either the product of two or more integer factors, in which case it is called a composite number, or it is not, in which case it is called a prime number. For example, 15 is … See more
By the fundamental theorem of arithmetic, every positive integer has a unique prime factorization. (By convention, 1 is the empty product See more
Special-purpose
A special-purpose factoring algorithm's running time depends on the properties of the number to be … See moreThe Schnorr–Seysen–Lenstra probabilistic algorithm has been rigorously proven by Lenstra and Pomerance to have expected running time Ln[1/2, … See more
Among the b-bit numbers, the most difficult to factor in practice using existing algorithms are those semiprimes whose factors are of similar size. For this reason, these are the integers used in cryptographic applications.
In 2019, Fabrice … See moreIn number theory, there are many integer factoring algorithms that heuristically have expected running time See more
• Aurifeuillean factorization
• Bach's algorithm for generating random numbers with their factorizations See moreWikipedia text under CC-BY-SA license - Question & Answer
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