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A Cubic Composite Test

Published 4 May 2025 in math.NT | (2505.02167v1)

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.

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