Biquadratic reciprocity and a Lucasian primality test

DOI10.1090/S0025-5718-03-01575-8zbMath1090.11004OpenAlexW1995632467MaRDI QIDQ4813597

Pedro Berrizbeitia, Thomas G. Berry

Publication date: 13 August 2004

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

Full work available at URL: https://doi.org/10.1090/s0025-5718-03-01575-8

Mathematics Subject Classification ID

Factorization; primality (11A51) Power residues, reciprocity (11A15) Primality (11Y11)

Related Items (8)

Explicit primality criteria for \(h \cdot 2^n \pm 1\) ⋮ Sharpening ``Primes is in P for a large family of numbers ⋮ On integers of the forms \(k\pm 2^{n}\) and \(k2^{n}\pm 1\) ⋮ Primality test for numbers of the form \(A p^n + w_n\) ⋮ Gaussian Mersenne and Eisenstein Mersenne primes ⋮ A primality test for \(4Kp^n-1\) numbers ⋮ A generalised Lucasian primality test ⋮ Primality testing for numbers of the form \(h\cdot 2^n\pm 1\)

Cites Work

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• Explicit Primality Criteria for h ⋅2 k ± 1
• Lucasian Criteria for the Primality of  = h ⋅2 n - 1

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