# Convergence verification of the Collatz problem

@article{Barina2020ConvergenceVO,
title={Convergence verification of the Collatz problem},
author={David Barina},
journal={The Journal of Supercomputing},
year={2020},
pages={1-8}
}
• David Barina
• Published 1 July 2020
• Computer Science, Mathematics
• The Journal of Supercomputing
This article presents a new algorithmic approach for computational convergence verification of the Collatz problem. The main contribution of the paper is the replacement of huge precomputed tables containing $$O(2^N)$$ O ( 2 N ) entries with small lookup tables comprising just O ( N ) elements. Our single-threaded CPU implementation can verify $$4.2 \times 10^9$$ 4.2 × 10 9 128-bit numbers per second on Intel Xeon Gold 5218 CPU computer, and our parallel OpenCL implementation reaches the speed…
23 Citations

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Psoriasis can be effectively arrested and controlled by the administration of from about 50 milligrams dosage to about 150 milligrams dosage per day of pentazocine.