{"id":327557,"date":"2016-11-27T18:57:09","date_gmt":"2016-11-28T02:57:09","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=327557"},"modified":"2018-10-16T20:25:08","modified_gmt":"2018-10-17T03:25:08","slug":"generating-random-factored-numbers-easily","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/generating-random-factored-numbers-easily\/","title":{"rendered":"Generating Random Factored Numbers, Easily"},"content":{"rendered":"<p>Our goal is to generate a uniformly random number between 1 and N, along with its prime factorization. Since there are no known efficient factoring algorithms, one cannot simply generate a random number and then factor it. Eric Bach&#8217;s award-winning dissertation introduces and solves this problem. We present a four-line solution that is still efficient.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Our goal is to generate a uniformly random number between 1 and N, along with its prime factorization. Since there are no known efficient factoring algorithms, one cannot simply generate a random number and then factor it. Eric Bach&#8217;s award-winning dissertation introduces and solves this problem. We present a four-line solution that is still efficient.<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":[{"type":"user_nicename","value":"adum","user_id":"30834"}],"msr_publishername":"Springer-Verlag","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"4","msr_journal":"Journal of 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