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Date: 18-12-2019
845
Date: 23-11-2020
1103
Date: 13-1-2021
785
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Given the Lucas sequence and , define . Then an extra strong Lucas pseudoprime to the base is a composite number , where is odd and such that either and , or for some with . An extra strong Lucas pseudoprime is a strong Lucas pseudoprime with parameters . Composite are extra strong pseudoprimes for at most 1/8 of possible bases (Grantham 1997).
REFERENCES:
Grantham, J. "Frobenius Pseudoprimes." https://www.pseudoprime.com/pseudo1.ps
Grantham, J. "A Frobenius Probable Prime Test with High Confidence." 1997. https://www.pseudoprime.com/pseudo2.ps
Jones, J. P. and Mo, Z. "A New Primality Test Using Lucas Sequences." Preprint.
Nicely, T. R. "The Baillie-PSW Primality Test." https://www.trnicely.net/misc/bpsw.html.
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