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ZENODO
Software . 2026
License: http://opensource.org/licenses/MIT
Data sources: ZENODO
ZENODO
Software . 2026
License: https://opensource.org/licenses/MIT
Data sources: Datacite
ZENODO
Software . 2026
License: https://opensource.org/licenses/MIT
Data sources: Datacite
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Lucas Prime Criterion: Verification Code and Data

integration_instructionsResearch softwarekeyboard_double_arrow_right Software 29 Jan 2026Publisher:Zenodo
Authors: Schwartzkopff, D. J.;

doi: 10.5281/zenodo.18408451 , 10.5281/zenodo.18408450

Lucas Prime Criterion: Verification Code and Data

Abstract

Supplementary code and data for the paper "The Lucas Prime Criterion: A Deterministic Test for Primality of Lucas Numbers". This repository contains Python and CUDA implementations for verifying the criterion, along with pre-computed verification results for primes p < 100,000. The criterion enables verification that L_5466311 (1,142,281 digits) is prime in 14.31 GPU-hours.

Extended verification to p < 150,000 (13,803 primes) confirmed zero counterexamples. Detailed per-prime results for p < 100,000 are included in verification_results_100k.csv.

Keywords

computational mathematics, number theory, primality testing, Lucas numbers

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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Average