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arXiv · 2607.03462

Calculating the floor of y**(1/m)

Alexandros V. Gerbessiotis
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Abstract

We present two algorithms based on the Newton-Raphson method to calculate the floor of y**(1/m) for natural integer numbers y>2 and m >1. 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.

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Alexandros V. Gerbessiotis. 2026-07-03. Calculating the floor of y**(1/m). https://arxiv.org/abs/2607.03462

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