On the existence and non-existence of elliptic pseudoprimes

DOI10.1090/S0025-5718-09-02275-3zbMath1227.11124OpenAlexW2101116352MaRDI QIDQ3584824

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Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-09-02275-3

zbMATH Keywords

elliptic pseudoprimes

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Algebraic number theory computations (11Y40) Factorization; primality (11A51) Primality (11Y11)

Cites Work

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• A probable prime test with high confidence
• There are infinitely many Carmichael numbers
• Counting points on elliptic curves over finite fields
• Frobenius pseudoprimes
• Elliptic Curves Over Finite Fields and the Computation of Square Roots mod p
• On the Number of Elliptic Pseudoprimes
• The Distribution of Lucas and Elliptic Pseudoprimes

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