Generalized Lucas-Lehmer tests using Pell conics

DOI10.1090/S0002-9939-2011-11196-1zbMath1329.11130OpenAlexW1978622599MaRDI QIDQ2845539

Samuel A. Hambleton

Publication date: 2 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-11196-1

zbMATH Keywords

prime numbersprimality testsPell conicsLucas-Lehmer test

Mathematics Subject Classification ID

[https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Primality (11Y11)

Related Items (1)

Primality tests, linear recurrent sequences and the Pell equation

Cites Work

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• An elliptic curve test for Mersenne primes
• Effective Primality Tests for Some Integers of the Forms A5 n - 1 and A7 n - 1
• Cubic reciprocity and generalised Lucas-Lehmer tests for primality of 𝐴.3ⁿ±1
• Lucasian Criteria for the Primality of  = h ⋅2 n - 1

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