{"ID":5935670,"CreatedAt":"2026-07-07T01:22:02.77346169Z","UpdatedAt":"2026-07-07T02:10:06.972658124Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2607.03462","arxiv_id":"2607.03462","title":"Calculating the floor of y**(1/m)","abstract":"We present two algorithms based on the Newton-Raphson method to calculate the floor of y**(1/m) for natural integer numbers y\u003e2 and m \u003e1. One could use such an algorithm to establish whether y is an integer power of an integer in number theory problems, even though binary search methods are traditionally considered simpler to implement.","short_abstract":"We present two algorithms based on the Newton-Raphson method to calculate the floor of y**(1/m) for natural integer numbers y\u003e2 and m \u003e1. One could use such an algorithm to establish whether y is an integer power of an integer in number theory problems, even though binary search methods are traditionally considered sim...","url_abs":"https://arxiv.org/abs/2607.03462","url_pdf":"https://arxiv.org/pdf/2607.03462v1","authors":"[\"Alexandros V. Gerbessiotis\"]","published":"2026-07-03T16:20:37Z","proceeding":"math.NT","tasks":"[\"math.NT\",\"cs.CR\",\"cs.DS\"]","methods":"[]","has_code":false}