A Cubic Composite Test
Number Theory
2025-05-06 v1
Abstract
A single parameter cubic composite test for odd positive integers is given which relies on the discriminant always being a square integer. This test has no known counterexample despite extensive verifications. As well as a comparison with the Baillie-PSW tests, a related quadratic composite test is briefly examined which also has no known counterexample.
Keywords
Cite
@article{arxiv.2505.02167,
title = {A Cubic Composite Test},
author = {Pierre Laurent and Paul Underwood},
journal= {arXiv preprint arXiv:2505.02167},
year = {2025}
}