Primality testing through algebraic groups
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Publication:1047901
DOI10.1007/s00013-009-0065-9zbMath1236.11009OpenAlexW1970513102MaRDI QIDQ1047901
Alexander Gurevich, Boris Kunyavskiĭ
Publication date: 8 January 2010
Published in: Archiv der Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00013-009-0065-9
Finite ground fields in algebraic geometry (14G15) Linear algebraic groups over global fields and their integers (20G30) Factorization; primality (11A51) Primality (11Y11)
Related Items (3)
Deterministic primality tests based on tori and elliptic curves ⋮ A framework for deterministic primality proving using elliptic curves with complex multiplication ⋮ Some remarks on primality proving and elliptic curves
Cites Work
- One-dimensional affine group schemes
- An elliptic curve test for Mersenne primes
- A Proof of the Lucas-Lehmer Test
- Primality Tests Using Algebraic Groups
- [https://portal.mardi4nfdi.de/wiki/Publication:5539071 A Report on Prime Numbers of the Forms M = (6a + 1)2 2m-1 - 1 and M � = (6a - 1)2 2m - 1]
- Lucasian Criteria for the Primality of = h ⋅2 n - 1
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